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CMS-SMP-14-013 ; CERN-EP-2016-256

Measurements of differential production cross sections for a Z boson in association with jets in pp collisions at $ \sqrt{s} = $ 8 TeV

CMS Collaboration

11 November 2016

JHEP 04 (2017) 022

Abstract: Cross sections for the production of a Z boson in association with jets in proton-proton collisions at a centre-of-mass energy of $\sqrt{s}= $ 8 TeV are measured using a data sample collected by the CMS experiment at the LHC corresponding to 19.6 fb$^{-1}$. Differential cross sections are presented as functions of up to three observables that describe the jet kinematics and the jet activity. Correlations between the azimuthal directions and the rapidities of the jets and the Z boson are studied in detail. The predictions of a number of multileg generators with leading or next-to-leading order accuracy are compared with the measurements. The comparison shows the importance of including multi-parton contributions in the matrix elements and the improvement in the predictions when next-to-leading order terms are included.

Links: e-print arXiv:1611.03844 [hep-ex] (PDF) ; CDS record ; inSPIRE record ; HepData record ; CADI line (restricted) ;

Figures
png pdf	Figure 1: Exclusive jet multiplicity for (left) the electron and (right) the muon channels at detector level in the jet rapidity region $ {| y | } < $ 2.4. The data points are shown with statistical error bars. Beneath each plot the ratio of the number of events predicted by the simulation to the measured values is displayed, together with the statistical uncertainties in simulation and data added in quadrature.
png pdf	Figure 1-a: Exclusive jet multiplicity for (left) the electron and (right) the muon channels at detector level in the jet rapidity region $ {| y | } < $ 2.4. The data points are shown with statistical error bars. Beneath each plot the ratio of the number of events predicted by the simulation to the measured values is displayed, together with the statistical uncertainties in simulation and data added in quadrature.
png pdf	Figure 1-b: Exclusive jet multiplicity for (left) the electron and (right) the muon channels at detector level in the jet rapidity region $ {| y | } < $ 2.4. The data points are shown with statistical error bars. Beneath each plot the ratio of the number of events predicted by the simulation to the measured values is displayed, together with the statistical uncertainties in simulation and data added in quadrature.
png pdf	Figure 2: The cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production measured as a function of the (left) exclusive and (right) inclusive jet multiplicity distributions compared to the predictions calculated with MadGraph 5+PYTHIA 6, SHERPA 2, and mg5-amc +PYTHIA 8. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 2-a: The cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production measured as a function of the (left) exclusive and (right) inclusive jet multiplicity distributions compared to the predictions calculated with MadGraph 5+PYTHIA 6, SHERPA 2, and mg5-amc +PYTHIA 8. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 2-b: The cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production measured as a function of the (left) exclusive and (right) inclusive jet multiplicity distributions compared to the predictions calculated with MadGraph 5+PYTHIA 6, SHERPA 2, and mg5-amc +PYTHIA 8. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 3: The differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production measured as a function of the (left) $1^{\text {st}}$ and (right) $2^{\text {nd}}$ jet $ {p_{\mathrm {T}}} $ compared to the predictions calculated with MadGraph 5+PYTHIA 6, SHERPA 2, and mg5-amc +PYTHIA 8. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 3-a: The differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production measured as a function of the (left) $1^{\text {st}}$ and (right) $2^{\text {nd}}$ jet $ {p_{\mathrm {T}}} $ compared to the predictions calculated with MadGraph 5+PYTHIA 6, SHERPA 2, and mg5-amc +PYTHIA 8. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 3-b: The differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production measured as a function of the (left) $1^{\text {st}}$ and (right) $2^{\text {nd}}$ jet $ {p_{\mathrm {T}}} $ compared to the predictions calculated with MadGraph 5+PYTHIA 6, SHERPA 2, and mg5-amc +PYTHIA 8. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 4: The differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production measured as a function of the (left) $3^{\text {rd}}$ and (right) $4^{\text {th}}$ jet $ {p_{\mathrm {T}}} $ compared to the predictions calculated with MadGraph 5+PYTHIA 6, SHERPA 2, and mg5-amc +PYTHIA 8. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 4-a: The differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production measured as a function of the (left) $3^{\text {rd}}$ and (right) $4^{\text {th}}$ jet $ {p_{\mathrm {T}}} $ compared to the predictions calculated with MadGraph 5+PYTHIA 6, SHERPA 2, and mg5-amc +PYTHIA 8. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 4-b: The differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production measured as a function of the (left) $3^{\text {rd}}$ and (right) $4^{\text {th}}$ jet $ {p_{\mathrm {T}}} $ compared to the predictions calculated with MadGraph 5+PYTHIA 6, SHERPA 2, and mg5-amc +PYTHIA 8. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 5: The differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production measured as a function of the $5^{\text {th}}$ jet $ {p_{\mathrm {T}}} $ compared to the predictions calculated with MadGraph 5+ PYTHIA 6, SHERPA 2, and mg5-amc +PYTHIA 8. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 6: The differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production measured as a function of the (left) $1^{\text {st}}$ and (right) $2^{\text {nd}}$ jet $< y > $ compared to the predictions calculated with MadGraph 5+PYTHIA 6, SHERPA 2, and mg5-amc +PYTHIA 8. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 6-a: The differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production measured as a function of the (left) $1^{\text {st}}$ and (right) $2^{\text {nd}}$ jet $< y > $ compared to the predictions calculated with MadGraph 5+PYTHIA 6, SHERPA 2, and mg5-amc +PYTHIA 8. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 6-b: The differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production measured as a function of the (left) $1^{\text {st}}$ and (right) $2^{\text {nd}}$ jet $< y > $ compared to the predictions calculated with MadGraph 5+PYTHIA 6, SHERPA 2, and mg5-amc +PYTHIA 8. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 7: The differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production measured as a function of the (left) $3^{\text {rd}}$ and (right) $4^{\text {th}}$ jet $ {| y | }$ compared to the predictions calculated with MadGraph 5+PYTHIA 6, SHERPA 2, and mg5-amc +PYTHIA 8. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 7-a: The differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production measured as a function of the (left) $3^{\text {rd}}$ and (right) $4^{\text {th}}$ jet $ {| y | }$ compared to the predictions calculated with MadGraph 5+PYTHIA 6, SHERPA 2, and mg5-amc +PYTHIA 8. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 7-b: The differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production measured as a function of the (left) $3^{\text {rd}}$ and (right) $4^{\text {th}}$ jet $ {| y | }$ compared to the predictions calculated with MadGraph 5+PYTHIA 6, SHERPA 2, and mg5-amc +PYTHIA 8. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 8: The differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production measured as a function of the $5^{\text {th}}$ jet $< y > $ compared to the predictions calculated with MadGraph 5+PYTHIA 6, SHERPA 2, and mg5-amc +PYTHIA 8. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 9: The normalised differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production measured as a function of Z boson rapidity compared to the predictions calculated with MadGraph 5+PYTHIA 6, SHERPA 2, and mg5-amc +PYTHIA 8. The cross section is measured (left) inclusively with respect to the Z boson $ {p_{\mathrm {T}}} $ , (middle) for $ {p_{\mathrm {T}}} >150 GeV $, and (right) for $ {p_{\mathrm {T}}} >300 GeV $. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 9-a: The normalised differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production measured as a function of Z boson rapidity compared to the predictions calculated with MadGraph 5+PYTHIA 6, SHERPA 2, and mg5-amc +PYTHIA 8. The cross section is measured (left) inclusively with respect to the Z boson $ {p_{\mathrm {T}}} $ , (middle) for $ {p_{\mathrm {T}}} >150 GeV $, and (right) for $ {p_{\mathrm {T}}} >300 GeV $. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 9-b: The normalised differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production measured as a function of Z boson rapidity compared to the predictions calculated with MadGraph 5+PYTHIA 6, SHERPA 2, and mg5-amc +PYTHIA 8. The cross section is measured (left) inclusively with respect to the Z boson $ {p_{\mathrm {T}}} $ , (middle) for $ {p_{\mathrm {T}}} >150 GeV $, and (right) for $ {p_{\mathrm {T}}} >300 GeV $. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 9-c: The normalised differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production measured as a function of Z boson rapidity compared to the predictions calculated with MadGraph 5+PYTHIA 6, SHERPA 2, and mg5-amc +PYTHIA 8. The cross section is measured (left) inclusively with respect to the Z boson $ {p_{\mathrm {T}}} $ , (middle) for $ {p_{\mathrm {T}}} >150 GeV $, and (right) for $ {p_{\mathrm {T}}} >300 GeV $. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 10: The normalised differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ ($N_{\text {jets}} \geq $ 1) production measured as a function of the $ {y_{\text {diff}} } $ of the Z boson and the leading jet compared to the predictions calculated with MadGraph 5+PYTHIA 6, SHERPA 2, and mg5-amc +PYTHIA 8. (left) The cross section is measured inclusively with respect to the Z boson $ {p_{\mathrm {T}}} $ and for two different Z $ {p_{\mathrm {T}}} $ thresholds. The ratio of the prediction to the measurements is shown for (left) $ {p_{\mathrm {T}}} >0 GeV $, (middle) $ {p_{\mathrm {T}}} >150 GeV $, and (right) $ {p_{\mathrm {T}}} >300 GeV $. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 10-a: The normalised differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ ($N_{\text {jets}} \geq $ 1) production measured as a function of the $ {y_{\text {diff}} } $ of the Z boson and the leading jet compared to the predictions calculated with MadGraph 5+PYTHIA 6, SHERPA 2, and mg5-amc +PYTHIA 8. (left) The cross section is measured inclusively with respect to the Z boson $ {p_{\mathrm {T}}} $ and for two different Z $ {p_{\mathrm {T}}} $ thresholds. The ratio of the prediction to the measurements is shown for (left) $ {p_{\mathrm {T}}} >0 GeV $, (middle) $ {p_{\mathrm {T}}} >150 GeV $, and (right) $ {p_{\mathrm {T}}} >300 GeV $. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 10-b: The normalised differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ ($N_{\text {jets}} \geq $ 1) production measured as a function of the $ {y_{\text {diff}} } $ of the Z boson and the leading jet compared to the predictions calculated with MadGraph 5+PYTHIA 6, SHERPA 2, and mg5-amc +PYTHIA 8. (left) The cross section is measured inclusively with respect to the Z boson $ {p_{\mathrm {T}}} $ and for two different Z $ {p_{\mathrm {T}}} $ thresholds. The ratio of the prediction to the measurements is shown for (left) $ {p_{\mathrm {T}}} >0 GeV $, (middle) $ {p_{\mathrm {T}}} >150 GeV $, and (right) $ {p_{\mathrm {T}}} >300 GeV $. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 10-c: The normalised differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ ($N_{\text {jets}} \geq $ 1) production measured as a function of the $ {y_{\text {diff}} } $ of the Z boson and the leading jet compared to the predictions calculated with MadGraph 5+PYTHIA 6, SHERPA 2, and mg5-amc +PYTHIA 8. (left) The cross section is measured inclusively with respect to the Z boson $ {p_{\mathrm {T}}} $ and for two different Z $ {p_{\mathrm {T}}} $ thresholds. The ratio of the prediction to the measurements is shown for (left) $ {p_{\mathrm {T}}} >0 GeV $, (middle) $ {p_{\mathrm {T}}} >150 GeV $, and (right) $ {p_{\mathrm {T}}} >300 GeV $. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 11: The normalised differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ ($N_{\text {jets}} \geq $ 2) production measured as a function of the $ {y_{\text {diff}} } $ of the Z boson and (left) the leading jet, (middle) the second-leading jet, and (right) the system constituted by these two jets. The measurement is compared to the predictions calculated with MadGraph 5+ PYTHIA 6, SHERPA 2, and mg5-amc +PYTHIA 8. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 11-a: The normalised differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ ($N_{\text {jets}} \geq $ 2) production measured as a function of the $ {y_{\text {diff}} } $ of the Z boson and (left) the leading jet, (middle) the second-leading jet, and (right) the system constituted by these two jets. The measurement is compared to the predictions calculated with MadGraph 5+ PYTHIA 6, SHERPA 2, and mg5-amc +PYTHIA 8. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 11-b: The normalised differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ ($N_{\text {jets}} \geq $ 2) production measured as a function of the $ {y_{\text {diff}} } $ of the Z boson and (left) the leading jet, (middle) the second-leading jet, and (right) the system constituted by these two jets. The measurement is compared to the predictions calculated with MadGraph 5+ PYTHIA 6, SHERPA 2, and mg5-amc +PYTHIA 8. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 11-c: The normalised differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ ($N_{\text {jets}} \geq $ 2) production measured as a function of the $ {y_{\text {diff}} } $ of the Z boson and (left) the leading jet, (middle) the second-leading jet, and (right) the system constituted by these two jets. The measurement is compared to the predictions calculated with MadGraph 5+ PYTHIA 6, SHERPA 2, and mg5-amc +PYTHIA 8. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 12: The normalised differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ ($N_{\text {jets}} \geq $ 2) production measured as a function of the (left) $ {y_{\text {diff}} } $ and (right) $ {y_{\text {sum}}} $ of the two leading jets. The measurement is compared to the predictions calculated with MadGraph 5+PYTHIA 6, SHERPA 2, and mg5-amc +PYTHIA 8. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 12-a: The normalised differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ ($N_{\text {jets}} \geq $ 2) production measured as a function of the (left) $ {y_{\text {diff}} } $ and (right) $ {y_{\text {sum}}} $ of the two leading jets. The measurement is compared to the predictions calculated with MadGraph 5+PYTHIA 6, SHERPA 2, and mg5-amc +PYTHIA 8. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 12-b: The normalised differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ ($N_{\text {jets}} \geq $ 2) production measured as a function of the (left) $ {y_{\text {diff}} } $ and (right) $ {y_{\text {sum}}} $ of the two leading jets. The measurement is compared to the predictions calculated with MadGraph 5+PYTHIA 6, SHERPA 2, and mg5-amc +PYTHIA 8. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 13: The normalised differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ ($N_{\text {jets}} \geq 1$) production measured as a function of the $ {y_{\text {sum}}} $ of the Z boson and the leading jet compared to the predictions calculated with MadGraph 5+PYTHIA 6, SHERPA 2, and mg5-amc +PYTHIA 8. The cross section is measured inclusively with respect to the Z boson $ {p_{\mathrm {T}}} $ and for two different Z $ {p_{\mathrm {T}}} $ thresholds. The ratio of the prediction to the measurements is shown for (left) $ {p_{\mathrm {T}}} >0 GeV $, (middle) $ {p_{\mathrm {T}}} >150 GeV $, and (right) $ {p_{\mathrm {T}}} >300 GeV $. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 13-a: The normalised differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ ($N_{\text {jets}} \geq 1$) production measured as a function of the $ {y_{\text {sum}}} $ of the Z boson and the leading jet compared to the predictions calculated with MadGraph 5+PYTHIA 6, SHERPA 2, and mg5-amc +PYTHIA 8. The cross section is measured inclusively with respect to the Z boson $ {p_{\mathrm {T}}} $ and for two different Z $ {p_{\mathrm {T}}} $ thresholds. The ratio of the prediction to the measurements is shown for (left) $ {p_{\mathrm {T}}} >0 GeV $, (middle) $ {p_{\mathrm {T}}} >150 GeV $, and (right) $ {p_{\mathrm {T}}} >300 GeV $. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 13-b: The normalised differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ ($N_{\text {jets}} \geq 1$) production measured as a function of the $ {y_{\text {sum}}} $ of the Z boson and the leading jet compared to the predictions calculated with MadGraph 5+PYTHIA 6, SHERPA 2, and mg5-amc +PYTHIA 8. The cross section is measured inclusively with respect to the Z boson $ {p_{\mathrm {T}}} $ and for two different Z $ {p_{\mathrm {T}}} $ thresholds. The ratio of the prediction to the measurements is shown for (left) $ {p_{\mathrm {T}}} >0 GeV $, (middle) $ {p_{\mathrm {T}}} >150 GeV $, and (right) $ {p_{\mathrm {T}}} >300 GeV $. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 13-c: The normalised differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ ($N_{\text {jets}} \geq 1$) production measured as a function of the $ {y_{\text {sum}}} $ of the Z boson and the leading jet compared to the predictions calculated with MadGraph 5+PYTHIA 6, SHERPA 2, and mg5-amc +PYTHIA 8. The cross section is measured inclusively with respect to the Z boson $ {p_{\mathrm {T}}} $ and for two different Z $ {p_{\mathrm {T}}} $ thresholds. The ratio of the prediction to the measurements is shown for (left) $ {p_{\mathrm {T}}} >0 GeV $, (middle) $ {p_{\mathrm {T}}} >150 GeV $, and (right) $ {p_{\mathrm {T}}} >300 GeV $. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 14: The normalised differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ ($N_{\text {jets}} \geq $ 2) production measured as a function of the $ {y_{\text {sum}}} $ of the Z boson and (left) the leading jet, (middle) the second-leading jet, and (right) the system constituted by these two jets. The measurement is compared to the predictions calculated with MadGraph 5+ PYTHIA 6, SHERPA 2, and mg5-amc +PYTHIA 8. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 14-a: The normalised differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ ($N_{\text {jets}} \geq $ 2) production measured as a function of the $ {y_{\text {sum}}} $ of the Z boson and (left) the leading jet, (middle) the second-leading jet, and (right) the system constituted by these two jets. The measurement is compared to the predictions calculated with MadGraph 5+ PYTHIA 6, SHERPA 2, and mg5-amc +PYTHIA 8. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 14-b: The normalised differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ ($N_{\text {jets}} \geq $ 2) production measured as a function of the $ {y_{\text {sum}}} $ of the Z boson and (left) the leading jet, (middle) the second-leading jet, and (right) the system constituted by these two jets. The measurement is compared to the predictions calculated with MadGraph 5+ PYTHIA 6, SHERPA 2, and mg5-amc +PYTHIA 8. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 14-c: The normalised differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ ($N_{\text {jets}} \geq $ 2) production measured as a function of the $ {y_{\text {sum}}} $ of the Z boson and (left) the leading jet, (middle) the second-leading jet, and (right) the system constituted by these two jets. The measurement is compared to the predictions calculated with MadGraph 5+ PYTHIA 6, SHERPA 2, and mg5-amc +PYTHIA 8. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 15: The differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production measured as a function of $ {H_{\mathrm {T}}} $ for (left) $N_{\text {jets}} \geq 1$ and (right) $N_{\text {jets}} \geq 2$ compared to the predictions calculated with MadGraph 5+PYTHIA 6, SHERPA 2, and mg5-amc +PYTHIA 8. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 15-a: The differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production measured as a function of $ {H_{\mathrm {T}}} $ for (left) $N_{\text {jets}} \geq 1$ and (right) $N_{\text {jets}} \geq 2$ compared to the predictions calculated with MadGraph 5+PYTHIA 6, SHERPA 2, and mg5-amc +PYTHIA 8. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 15-b: The differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production measured as a function of $ {H_{\mathrm {T}}} $ for (left) $N_{\text {jets}} \geq 1$ and (right) $N_{\text {jets}} \geq 2$ compared to the predictions calculated with MadGraph 5+PYTHIA 6, SHERPA 2, and mg5-amc +PYTHIA 8. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 16: The differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production measured as a function of $ {H_{\mathrm {T}}} $ for (left) $N_{\text {jets}} \geq 3$ and (right) $N_{\text {jets}} \geq 4$ compared to the predictions calculated with MadGraph 5+PYTHIA 6, SHERPA 2, and mg5-amc +PYTHIA 8. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 16-a: The differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production measured as a function of $ {H_{\mathrm {T}}} $ for (left) $N_{\text {jets}} \geq 3$ and (right) $N_{\text {jets}} \geq 4$ compared to the predictions calculated with MadGraph 5+PYTHIA 6, SHERPA 2, and mg5-amc +PYTHIA 8. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 16-b: The differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production measured as a function of $ {H_{\mathrm {T}}} $ for (left) $N_{\text {jets}} \geq 3$ and (right) $N_{\text {jets}} \geq 4$ compared to the predictions calculated with MadGraph 5+PYTHIA 6, SHERPA 2, and mg5-amc +PYTHIA 8. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 17: The differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production measured as a function of $ {H_{\mathrm {T}}} $ for $N_{\text {jets}} \geq 5$ compared to the predictions calculated with MadGraph 5+PYTHIA 6, SHERPA 2, and mg5-amc +PYTHIA 8. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 18: The differential cross section as a function of the azimuthal angle between the Z boson and the leading jet for different jet multiplicities, (left) $N_{\text {jets}}\ge 1$, (middle) $N_{\text {jets}}\ge 2$, and (right) $N_{\text {jets}}\ge 3$. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 18-a: The differential cross section as a function of the azimuthal angle between the Z boson and the leading jet for different jet multiplicities, (left) $N_{\text {jets}}\ge 1$, (middle) $N_{\text {jets}}\ge 2$, and (right) $N_{\text {jets}}\ge 3$. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 18-b: The differential cross section as a function of the azimuthal angle between the Z boson and the leading jet for different jet multiplicities, (left) $N_{\text {jets}}\ge 1$, (middle) $N_{\text {jets}}\ge 2$, and (right) $N_{\text {jets}}\ge 3$. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 18-c: The differential cross section as a function of the azimuthal angle between the Z boson and the leading jet for different jet multiplicities, (left) $N_{\text {jets}}\ge 1$, (middle) $N_{\text {jets}}\ge 2$, and (right) $N_{\text {jets}}\ge 3$. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 19: The differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production for $N_{\text {jets}}\ge 3$ as a function of the azimuthal angle between (left) the Z boson and the second leading jet, (right) the Z boson and the third leading jet. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 19-a: The differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production for $N_{\text {jets}}\ge 3$ as a function of the azimuthal angle between (left) the Z boson and the second leading jet, (right) the Z boson and the third leading jet. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 19-b: The differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production for $N_{\text {jets}}\ge 3$ as a function of the azimuthal angle between (left) the Z boson and the second leading jet, (right) the Z boson and the third leading jet. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 20: The differential cross section as a function of the azimuthal angle between the Z boson and the leading jet, for $ {p_{\mathrm {T}}} (\mathrm{ Z } )>150 GeV $ and (left) $N_{\text {jets}}\ge 1$, (middle) $N_{\text {jets}}\ge 2$, and (right) $N_{\text {jets}}\ge 3$. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 20-a: The differential cross section as a function of the azimuthal angle between the Z boson and the leading jet, for $ {p_{\mathrm {T}}} (\mathrm{ Z } )>150 GeV $ and (left) $N_{\text {jets}}\ge 1$, (middle) $N_{\text {jets}}\ge 2$, and (right) $N_{\text {jets}}\ge 3$. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 20-b: The differential cross section as a function of the azimuthal angle between the Z boson and the leading jet, for $ {p_{\mathrm {T}}} (\mathrm{ Z } )>150 GeV $ and (left) $N_{\text {jets}}\ge 1$, (middle) $N_{\text {jets}}\ge 2$, and (right) $N_{\text {jets}}\ge 3$. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 20-c: The differential cross section as a function of the azimuthal angle between the Z boson and the leading jet, for $ {p_{\mathrm {T}}} (\mathrm{ Z } )>150 GeV $ and (left) $N_{\text {jets}}\ge 1$, (middle) $N_{\text {jets}}\ge 2$, and (right) $N_{\text {jets}}\ge 3$. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 21: The differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production for $N_{\text {jets}}\ge 3$ and $ {p_{\mathrm {T}}} (\mathrm{ Z } )>150 GeV $ as a function of the azimuthal angle (left) between the Z boson and the second leading jet and (right) between Z boson and third-leading jet. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 21-a: The differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production for $N_{\text {jets}}\ge 3$ and $ {p_{\mathrm {T}}} (\mathrm{ Z } )>150 GeV $ as a function of the azimuthal angle (left) between the Z boson and the second leading jet and (right) between Z boson and third-leading jet. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 21-b: The differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production for $N_{\text {jets}}\ge 3$ and $ {p_{\mathrm {T}}} (\mathrm{ Z } )>150 GeV $ as a function of the azimuthal angle (left) between the Z boson and the second leading jet and (right) between Z boson and third-leading jet. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 22: The differential cross section as a function of the azimuthal angle between the Z boson and the leading jet, for $ {p_{\mathrm {T}}} (\mathrm{ Z } )>300 GeV $ and (left) $N_{\text {jets}}\ge 1$, (middle) $N_{\text {jets}}\ge 2$, and (right) $N_{\text {jets}}\ge 3$. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 22-a: The differential cross section as a function of the azimuthal angle between the Z boson and the leading jet, for $ {p_{\mathrm {T}}} (\mathrm{ Z } )>300 GeV $ and (left) $N_{\text {jets}}\ge 1$, (middle) $N_{\text {jets}}\ge 2$, and (right) $N_{\text {jets}}\ge 3$. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 22-b: The differential cross section as a function of the azimuthal angle between the Z boson and the leading jet, for $ {p_{\mathrm {T}}} (\mathrm{ Z } )>300 GeV $ and (left) $N_{\text {jets}}\ge 1$, (middle) $N_{\text {jets}}\ge 2$, and (right) $N_{\text {jets}}\ge 3$. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 22-c: The differential cross section as a function of the azimuthal angle between the Z boson and the leading jet, for $ {p_{\mathrm {T}}} (\mathrm{ Z } )>300 GeV $ and (left) $N_{\text {jets}}\ge 1$, (middle) $N_{\text {jets}}\ge 2$, and (right) $N_{\text {jets}}\ge 3$. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 23: The differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production for $N_{\text {jets}}\ge 3$ and $ {p_{\mathrm {T}}} (\mathrm{ Z } ) > 300 GeV $ as a function of the azimuthal angle (left) between the Z boson and the second-leading jet and (right) between the Z boson and the third-leading jet. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 23-a: The differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production for $N_{\text {jets}}\ge 3$ and $ {p_{\mathrm {T}}} (\mathrm{ Z } ) > 300 GeV $ as a function of the azimuthal angle (left) between the Z boson and the second-leading jet and (right) between the Z boson and the third-leading jet. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 23-b: The differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production for $N_{\text {jets}}\ge 3$ and $ {p_{\mathrm {T}}} (\mathrm{ Z } ) > 300 GeV $ as a function of the azimuthal angle (left) between the Z boson and the second-leading jet and (right) between the Z boson and the third-leading jet. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 24: The differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production for $N_{\text {jets}}\ge 3$, $ {p_{\mathrm {T}}} ^{\text {Z}} > 150 GeV $, and $ {H_{\mathrm {T}}} ^{\text {jet}}> $ 300 GeV as a function of the azimuthal angle between the Z boson and the (left) first-, (middle) second-, and (right) third-leading jet. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 24-a: The differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production for $N_{\text {jets}}\ge 3$, $ {p_{\mathrm {T}}} ^{\text {Z}} > 150 GeV $, and $ {H_{\mathrm {T}}} ^{\text {jet}}> $ 300 GeV as a function of the azimuthal angle between the Z boson and the (left) first-, (middle) second-, and (right) third-leading jet. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 24-b: The differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production for $N_{\text {jets}}\ge 3$, $ {p_{\mathrm {T}}} ^{\text {Z}} > 150 GeV $, and $ {H_{\mathrm {T}}} ^{\text {jet}}> $ 300 GeV as a function of the azimuthal angle between the Z boson and the (left) first-, (middle) second-, and (right) third-leading jet. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 24-c: The differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production for $N_{\text {jets}}\ge 3$, $ {p_{\mathrm {T}}} ^{\text {Z}} > 150 GeV $, and $ {H_{\mathrm {T}}} ^{\text {jet}}> $ 300 GeV as a function of the azimuthal angle between the Z boson and the (left) first-, (middle) second-, and (right) third-leading jet. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 25: The differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production for $N_{\text {jets}}\ge 3$ as a function of the azimuthal angle between (left) the first- and second-, (middle) the first- and third-, and (right) the second- and third-leading jets. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 25-a: The differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production for $N_{\text {jets}}\ge 3$ as a function of the azimuthal angle between (left) the first- and second-, (middle) the first- and third-, and (right) the second- and third-leading jets. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 25-b: The differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production for $N_{\text {jets}}\ge 3$ as a function of the azimuthal angle between (left) the first- and second-, (middle) the first- and third-, and (right) the second- and third-leading jets. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 25-c: The differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production for $N_{\text {jets}}\ge 3$ as a function of the azimuthal angle between (left) the first- and second-, (middle) the first- and third-, and (right) the second- and third-leading jets. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 26: The differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production for $N_{\text {jets}}\ge 3$ and $ {p_{\mathrm {T}}} (\mathrm{ Z } ) > 150 GeV $ as a function of the azimuthal angle between (left) the first- and second-, (middle) the first- and third-, and (right) the second- and third-leading jets. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 26-a: The differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production for $N_{\text {jets}}\ge 3$ and $ {p_{\mathrm {T}}} (\mathrm{ Z } ) > 150 GeV $ as a function of the azimuthal angle between (left) the first- and second-, (middle) the first- and third-, and (right) the second- and third-leading jets. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 26-b: The differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production for $N_{\text {jets}}\ge 3$ and $ {p_{\mathrm {T}}} (\mathrm{ Z } ) > 150 GeV $ as a function of the azimuthal angle between (left) the first- and second-, (middle) the first- and third-, and (right) the second- and third-leading jets. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 26-c: The differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production for $N_{\text {jets}}\ge 3$ and $ {p_{\mathrm {T}}} (\mathrm{ Z } ) > 150 GeV $ as a function of the azimuthal angle between (left) the first- and second-, (middle) the first- and third-, and (right) the second- and third-leading jets. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 27: The differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production for $N_{\text {jets}}\ge 3$ and $ {p_{\mathrm {T}}} ({\mathrm{ Z } } ) > 300 GeV $ as a function of the azimuthal angle between (left) the first- and second-, (middle) the first- and third-, and (right) the second- and third- leading-jets. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 27-a: The differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production for $N_{\text {jets}}\ge 3$ and $ {p_{\mathrm {T}}} ({\mathrm{ Z } } ) > 300 GeV $ as a function of the azimuthal angle between (left) the first- and second-, (middle) the first- and third-, and (right) the second- and third- leading-jets. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 27-b: The differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production for $N_{\text {jets}}\ge 3$ and $ {p_{\mathrm {T}}} ({\mathrm{ Z } } ) > 300 GeV $ as a function of the azimuthal angle between (left) the first- and second-, (middle) the first- and third-, and (right) the second- and third- leading-jets. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 27-c: The differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production for $N_{\text {jets}}\ge 3$ and $ {p_{\mathrm {T}}} ({\mathrm{ Z } } ) > 300 GeV $ as a function of the azimuthal angle between (left) the first- and second-, (middle) the first- and third-, and (right) the second- and third- leading-jets. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 28: The differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production as a function of the dijet invariant mass for $N_{\text {jets}} \geq 2$ compared to the predictions calculated with MadGraph 5+PYTHIA 6, SHERPA 2, and mg5-amc +PYTHIA 8. The lower panels show the ratios of the theoretical predictions to the measurements. Error bars around the experimental points show the statistical uncertainty, while the cross-hatched bands indicate the statistical and systematic uncertainties added in quadrature. The boxes around the mg5-amc + PYTHIA 8 to measurement ratio represent the uncertainty on the prediction, including statistical, theoretical (from scale variations), and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 29: The differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production as a function of the leading jet transverse momentum and rapidity. The bands around the measurement points represent the total measurement uncertainties. The bands around the prediction points represent the total uncertainty, and its statistical, theoretical, and PDF components for mg5-amc +PYTHIA 8, and the statistical uncertainty alone for MadGraph 5+PYTHIA 6 and SHERPA 2.
png pdf	Figure 30: Ratio to the measurement of the differential cross section $ {\mathrm {d}}^2\sigma / {\mathrm {d}} {p_{\mathrm {T}}} (\text {j}_1) {\mathrm {d}}y(\text {j}_1)$ obtained with MadGraph 5+PYTHIA 6, with up to four jets at LO. The total experimental uncertainty is shown as a band around 1. Uncertainties in the predictions are shown on the ratio points and include the statistical uncertainty only.
png pdf	Figure 31: Ratio to the measurement of the differential cross section $ {\mathrm {d}}^2\sigma / {\mathrm {d}} {p_{\mathrm {T}}} (\text {j}_1) {\mathrm {d}}y(\text {j}_1)$ obtained with SHERPA 2, with up to two jets at NLO and up to four jets at LO. The total experimental uncertainty is shown as a band around 1. Uncertainties in the predictions are shown on the ratio points and include the statistical uncertainty only.
png pdf	Figure 32: Ratio to the measurement of the differential cross section $ {\mathrm {d}}^2\sigma / {\mathrm {d}} {p_{\mathrm {T}}} (\text {j}_1) {\mathrm {d}}y(\text {j}_1)$ obtained with mg5-amc +PYTHIA 8, with up to two jets at NLO. The total experimental uncertainty is shown as a band around 1. Uncertainties in the predictions are shown on the ratio points and include the statistical, theoretical, and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 33: The differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production as a function of the Z boson and leading jet rapidity. The bands around the measurement points represent the total measurement uncertainties. The bands around the prediction points represent the total uncertainty, statistical, theoretical, and PDF components for mg5-amc +PYTHIA 8, and the statistical uncertainty alone for MadGraph 5+PYTHIA 6 and SHERPA 2.
png pdf	Figure 34: Ratio to the measurement of the differential cross section $ {\mathrm {d}}^2\sigma / {\mathrm {d}}y(\mathrm{ Z } ) {\mathrm {d}}y(\text {j}_1)$ obtained with MadGraph 5+PYTHIA 6, with up to four jets at LO. The total experimental uncertainty is shown as a band around 1. Uncertainties in the predictions are shown on the ratio points and represent the statistical uncertainty alone.
png pdf	Figure 35: Ratio to the measurement of the differential cross section $ {\mathrm {d}}^2\sigma / {\mathrm {d}}y(\mathrm{ Z } ) {\mathrm {d}}y(\text {j}_1)$ obtained with SHERPA 2, with up to two jets at NLO and up to four jets at LO. The total experimental uncertainty is shown as a band around 1. Uncertainties in the predictions are shown on the ratio points and include the statistical uncertainty only.
png pdf	Figure 36: Ratio to the measurement of the differential cross section $ {\mathrm {d}}^2\sigma / {\mathrm {d}}y(\mathrm{ Z } ) {\mathrm {d}}y(\text {j}_1)$ obtained with mg5-amc +PYTHIA 8, with up to two jets at NLO. The total experimental uncertainty is shown as a band around 1. Uncertainties in the predictions are shown on the ratio points and include the statistical, theoretical, and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 37: The differential cross section for $ {\mathrm{ Z } (\to \ell \ell )+\text {jets}} $ production as a function of the rapidities of the Z boson and leading jet, and of the transverse momentum of the jet for the configuration. The bottom plots correspond to the configuration where the boson and the jet are in different hemispheres ($y(\mathrm{ Z } )y(\text {j}_1)<0$), while the top plots correspond to both objects in the same hemisphere. The left and right plots show the respective Z boson rapidity ranges, $ {| y(\mathrm{ Z } ) | }<1$ and $ {| y(\mathrm{ Z } ) | }\in (1,2.5)$. The bands around the measurement points represent the total measurement uncertainties. The bands around the prediction points represent the total uncertainty, statistical, theoretical, and PDF components for mg5-amc +PYTHIA 8, and the statistical uncertainty alone for MadGraph 5+PYTHIA 6 and SHERPA 2.
png pdf	Figure 38: Ratio to the measurement of the differential cross section $ {\mathrm {d}}^3\sigma / {\mathrm {d}} {p_{\mathrm {T}}} (\text {j}_1) {\mathrm {d}}y(\text {j}_1) {\mathrm {d}}y(\mathrm{ Z } )$ obtained with MadGraph 5+PYTHIA 6, with up to four jets at LO, for $ {| y(\mathrm{ Z } ) | }<1$. Left column corresponds to $y(\text {j}_1)y(\mathrm{ Z } )>0$ and right column to $y(\text {j}_1)y(\mathrm{ Z } )<0$. The total experimental uncertainty is shown as a band around 1. Uncertainties in the predictions are shown on the ratio points and include the statistical uncertainty only.
png pdf	Figure 39: Ratio to the measurement of the differential cross section $ {\mathrm {d}}^3\sigma / {\mathrm {d}} {p_{\mathrm {T}}} (\text {j}_1) {\mathrm {d}}y(\text {j}_1) {\mathrm {d}}y(\text {Z})$ obtained with MadGraph 5+PYTHIA 6, with up to four jets at LO, for $ {| y(\mathrm{ Z } ) | }\in (1,2.5)$. Left column corresponds to $y(\text {j}_1)y(\mathrm{ Z } )>0$ and right column to $y(\text {j}_1)y(\mathrm{ Z } )<0$. The total experimental uncertainty is shown as a band around 1. Uncertainties in the predictions are shown on the ratio points and include the statistical uncertainty only.
png pdf	Figure 40: Ratio to the measurement of the differential cross section $ {\mathrm {d}}^3\sigma / {\mathrm {d}} {p_{\mathrm {T}}} (\text {j}_1) {\mathrm {d}}y(\text {j}_1) {\mathrm {d}}y(\mathrm{ Z } )$ obtained with SHERPA 2, with up to two jets at NLO and up to four jets at LO, for $ {| y(\mathrm{ Z } ) | }<1$. Left column corresponds to $y(\text {j}_1)y(\mathrm{ Z } )>0$ and right column to $y(\text {j}_1)y(\mathrm{ Z } )<0$. The total experimental uncertainty is shown as a band around 1. Uncertainties in the predictions are shown on the ratio points and include the statistical uncertainty only.
png pdf	Figure 41: Ratio to the measurement of the differential cross section $ {\mathrm {d}}^3\sigma / {\mathrm {d}} {p_{\mathrm {T}}} (\text {j}_1) {\mathrm {d}}y(\text {j}_1) {\mathrm {d}}y(\mathrm{ Z } )$ obtained with SHERPA 2, with up to two jets at NLO and up to four jets at LO, for $ {| y(\mathrm{ Z } ) | }\in (1,2.5)$. Left column corresponds to $y(\text {j}_1)y(\mathrm{ Z } )>0$ and right column to $y(\text {j}_1)y(\mathrm{ Z } )<0$. The total experimental uncertainty is shown as a band around 1. Uncertainties in the predictions are shown on the ratio points and include the statistical uncertainty only.
png pdf	Figure 42: Ratio to the measurement of the differential cross section $ {\mathrm {d}}^3\sigma / {\mathrm {d}} {p_{\mathrm {T}}} (\text {j}_1) {\mathrm {d}}y(\text {j}_1) {\mathrm {d}}y(\mathrm{ Z } )$ obtained with mg5-amc +PYTHIA 8, with up to two jets at NLO, for $ {| y(\mathrm{ Z } ) | }<1$. Left column corresponds to $y(\text {j}_1)y(\mathrm{ Z } )>0$ and right column to $y(\text {j}_1)y(\mathrm{ Z } )<0$. The total experimental uncertainty is shown as a band around 1. Uncertainties in the predictions are shown on the ratio points and include the statistical, theoretical, and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.
png pdf	Figure 43: Ratio to the measurement of the differential cross section $ {\mathrm {d}}^3\sigma / {\mathrm {d}} {p_{\mathrm {T}}} (\text {j}_1) {\mathrm {d}}y(\text {j}_1) {\mathrm {d}}y(\text {Z})$ obtained with mg5-amc + PYTHIA 8, with up to two jets at NLO, for $ {| y(\mathrm{ Z } ) | }\in (1,2.5)$. Left column corresponds to $y(\text {j}_1)y(\mathrm{ Z } )>0$ and right column to $y(\text {j}_1)y(\mathrm{ Z } )<0$. The total experimental uncertainty is shown as a band around 1. Uncertainties in the predictions are shown on the ratio points and include the statistical, theoretical, and PDF uncertainties. The dark green area represents the statistical and theoretical uncertainties only, while the light green area represents the statistical uncertainty alone.

Tables
png pdf	Table 1: Cross section results obtained from the combination of the muon and electron channels as a function of the exclusive jet multiplicity and details of the systematic uncertainties. The column denoted "Tot unc" contains the total uncertainty; the column denoted "Stat" contains the statistical uncertainty; the remaining columns contain the systematic uncertainties.
png pdf	Table 2: Values of the $\mathrm{ p } \mathrm{ p } \to \ell ^+\ell ^-$ total cross section used in the predictions in data-theory comparison plots. The cross section used for the plots together with the one obtained from the generated sample (``native'') and their ratio ($k$) are provided. The cross section values correspond to the dilepton mass windows used for the respective samples and indicated in the table.
png pdf	Table 3: Measured ($\sigma _{\text {data}}$) and calculated cross sections of the production of ${\mathrm{ Z } } +N_{\text {jets}}\text { jets}$ events. The cross section calculated with mg5-amc is given in the third column together with the total uncertainty that covers the theoretical (standard method), PDF, $\alpha _s$, and statistical uncertainties. The theoretical uncertainty obtained with the standard and ST methods are compared in the two last columns. The uncertainty on the measurement is separated in systematic and statistical components when the latter is not negligible.

Summary

The kinematics of Z+jets events in pp collisions at the centre-of-mass energy of $ \sqrt{s} = $ 8 TeV have been studied and the differential cross sections have been measured as a function of numerous observables. Multidimensional cross section measurements have been performed with respect to up to three variables. The results have been compared with predictions from several multileg generators at different fixed-order accuracies, tree-level and NLO up to 2 partons, and employing different showering algorithms, as implemented in PYTHIA 6, PYTHIA 8, and SHERPA 2. The comparisons show that it is essential to include a large number of final-state partons in the matrix element calculations in order to correctly describe the kinematics of the leading jets. Besides the individual jet $p_{\mathrm{T}}$, the observable $H_{\mathrm{T}}$, used in searches for physics beyond the SM and defined in this measurement for jets with $p_{\mathrm{T}}> $ 30 GeV is modelled correctly at low values of $H_{\mathrm{T}}$ only when a sufficiently large number of partons is included in the matrix element calculations. The discrepancies found for large values of the jet momentum, first observed in the $ \sqrt{s} = $ 7 TeV measurements [8,5], are confirmed at $ \sqrt{s} = $ 8 TeV with a larger data set. Such discrepancies are not seen when including the NLO corrections. The differences observed between tree-level predictions and the measurements of the leading jet are larger when the jet is more forward ($| y |>2.5$). Discrepancies with LO and NLO predictions have been observed for the dijet mass spectrum at low mass in the region where the angle between the two jet directions is smaller than $\pi/2$. Nevertheless, the azimuthal angles between the Z boson and the jet and between the jets are very well reproduced by the predictions including the tree-level one. The excellent agreement remains when restricting the phase space by applying a threshold on the Z boson $p_{\mathrm{T}}$, on $H_{\mathrm{T}}$, or on both. The rapidity distributions of the Z boson and jets are fairly well modelled by the generators, but the correlations between the rapidities, which have been studied by measuring multidimensional differential cross sections and distributions of rapidity differences and sums, are not well reproduced by the multileg tree-level calculation. We have shown that the multileg event generators including NLO terms reproduce the rapidity difference distributions very well. The rapidity sum is also successfully described. For this variable the discrepancy with the tree-level calculation could also be due to a different choice of the parton distribution functions. In summary, kinematics of Z+jets events have been studied in detail and apart from a few discrepancies, the measurements show a very good agreement with the considered NLO multileg predictions.

References
1	S. Hoche, F. Krauss, M. Schonherr, F. Siegert	QCD matrix elements + parton showers: The NLO case	JHEP 04 (2013) 027	1207.5030
2	R. Frederix and S. Frixione	Merging meets matching in MC@NLO	JHEP 12 (2012) 061	1209.6215
3	CDF Collaboration	Measurement of Inclusive Jet Cross Sections in $ Z/\gamma^*\to e^+e^- + \text{jets} $ Production in $ p\bar{p} $ Collisions at $ \sqrt{s} = 1.96 $ TeV	PRL 100 (2008) 102001	0711.3717
4	D0 Collaboration	Measurement of differential $ \mathrm{ Z } / \gamma^{*} $ + jet + $ X $ cross sections in $ \mathrm{p} \bar{\mathrm{p}} $ collisions at $ \sqrt{s} $ = 1.96 TeV	PLB 669 (2008) 278	0808.1296
5	ATLAS Collaboration	Measurement of the production cross section of jets in association with a $ \mathrm{ Z } $ boson in $ \mathrm{ p }\mathrm{ p } $ collisions at $ \sqrt{s} = $ 7 TeV with the ATLAS detector	JHEP 07 (2013) 032	1304.7098
6	ATLAS Collaboration	Measurement of the production cross section for $ Z/\gamma^* $ in association with jets in $ pp $ collisions at $ \sqrt{s}=7 $ TeV with the ATLAS detector	PRD 85 (2012) 032009	1111.2690
7	CMS Collaboration	Jet production rates in association with $ \mathrm{W} $ and $ \mathrm{ Z } $ bosons in $ \mathrm{ p }\mathrm{ p } $ collisions at $ \sqrt{s}=7 $ TeV	JHEP 01 (2012) 010	CMS-EWK-10-012 1110.3226
8	CMS Collaboration	Measurements of jet multiplicity and differential production cross sections of $ \mathrm{ Z } + $ jets events in proton-proton collisions at $ \sqrt{s} = $ 7 TeV	PRD 91 (2015) 052008	CMS-SMP-12-017 1408.3104
9	M. Cacciari, G. P. Salam, and G. Soyez	The anti-$ k_t $ jet clustering algorithm	JHEP 04 (2008) 063	0802.1189
10	CMS Collaboration	Event shapes and azimuthal correlations in $ \mathrm{ Z } $ + jets events in $ \mathrm{ p }\mathrm{ p } $ collisions at $ \sqrt{s}=7 $ TeV	PLB 722 (2013) 238	CMS-EWK-11-021 1301.1646
11	CMS Collaboration	The CMS experiment at the CERN LHC	JINST 3 (2008) S08004	CMS-00-001
12	J. Alwall et al.	MadGraph 5: Going Beyond	JHEP 06 (2011) 128	1106.0522
13	T. Sjostrand, S. Mrenna, and P. Z. Skands	PYTHIA 6.4 physics and manual	JHEP 05 (2006) 026	hep-ph/0603175
14	J. Pumplin et al.	New generation of parton distributions with uncertainties from global QCD analysis	JHEP 07 (2002) 012	hep-ph/0201195
15	CMS Collaboration	Study of the underlying event at forward rapidity in $ \mathrm{ p }\mathrm{ p } $ collisions at $ \sqrt{s} $ = 0.9, 2.76, and 7 TeV	JHEP 04 (2013) 072	CMS-FWD-11-003 1302.2394
16	CMS Collaboration	Event generator tunes obtained from underlying event and multiparton scattering measurements	EPJC 76 (2016) 155	CMS-GEN-14-001 1512.00815
17	J. Alwall et al.	Comparative study of various algorithms for the merging of parton showers and matrix elements in hadronic collisions	EPJC 53 (2008) 473	0706.2569
18	J. Alwall, S. de Visscher, and F. Maltoni	QCD radiation in the production of heavy colored particles at the LHC	JHEP 02 (2009) 017	0810.5350
19	R. Gavin, Y. Li, F. Petriello, and S. Quackenbush	FEWZ 2.0: A code for hadronic $ \mathrm{Z} $ production at next-to-next-to-leading order	CPC 182 (2011) 2388	1011.3540
20	J. M. Campbell and R. K. Ellis	MCFM for the Tevatron and the LHC	NPPS 205-206 (2010) 10	1007.3492
21	M. Czakon, P. Fiedler, and A. Mitov	Total Top-Quark Pair-Production Cross Section at Hadron Colliders Through $ O(\alpha_{s}^{4}) $	PRL 110 (2013) 252004	1303.6254
22	GEANT4 Collaboration	GEANT4---a simulation toolkit	NIMA 506 (2003) 250
23	CMS Collaboration	Particle--Flow Event Reconstruction in CMS and Performance for Jets, Taus and $ E_{\mathrm{T}}^{\text{miss}} $	CDS
24	CMS Collaboration	Commissioning of the Particle-flow Event Reconstruction with the first LHC collisions recorded in the CMS detector	CDS
25	CMS Collaboration	Performance of electron reconstruction and selection with the CMS detector in proton-proton collisions at $ \sqrt{s} $ = 8 TeV	JINST 10 (2015) P06005	CMS-EGM-13-001 1502.02701
26	M. Cacciari and G. P. Salam	Pileup subtraction using jet areas	PLB 659 (2008) 119	0707.1378
27	CMS Collaboration	Performance of CMS muon reconstruction in $ \mathrm{ p }\mathrm{ p } $ collision events at $ \sqrt{s}=7 $ TeV	JINST 7 (2012) P10002	CMS-MUO-10-004 1206.4071
28	CMS Collaboration	Measurement of the inclusive $ \mathrm{W} $ and $ \mathrm{ Z } $ production cross sections in $ \mathrm{ p }\mathrm{ p } $ collisions at $ \sqrt{s}=7 $ TeV with the CMS experiment	JHEP 10 (2011) 132	CMS-EWK-10-005 1107.4789
29	M. Cacciari, G. P. Salam, and G. Soyez	The catchment area of jets	JHEP 04 (2008) 005	0802.1188
30	CMS Collaboration	Determination of Jet Energy Calibration and Transverse Momentum Resolution in CMS	JINST 6 (2011) P11002	CMS-JME-10-011 1107.4277
31	G. D'Agostini	A multidimensional unfolding method based on Bayes' theorem	NIMA 362 (1995) 487
32	T. Adye	Unfolding algorithms and tests using RooUnfold	in PHYSTAT 2011 Workshop on Statistical Issues Related to Discovery Claims in Search Experiments and Unfolding, H. Prosper and L. Lyons, eds., Geneva	1105.1160
33	CMS Collaboration	Jet energy scale and resolution in the CMS experiment in pp collisions at 8 TeV	Submitted to JINST	CMS-JME-13-004 1607.03663
34	T. Gleisberg et al.	Event generation with SHERPA 1.1	JHEP 02 (2009) 007	0811.4622
35	CMS Collaboration	CMS Luminosity Based on Pixel Cluster Counting - Summer 2013 Update	CMS-PAS-LUM-13-001	CMS-PAS-LUM-13-001
36	S. Frixione and B. R. Webber	Matching NLO QCD computations and parton shower simulations	JHEP 06 (2002) 029	hep-ph/0204244
37	C. F. Berger et al.	One-Loop Calculations with BlackHat	NPPS 183 (2008) 313	0807.3705
38	C. F. Berger et al.	Vector Boson + Jets with BlackHat and SHERPA	in Loops and Legs in Quantum Field Theory --- Proceedings of the 10th DESY Workshop on Elementary Particle Theory 2010	1005.3728
39	J. Gao et al.	CT10 next-to-next-to-leading order global analysis of QCD	PRD 89 (2014) 033009	1302.6246
40	J. Alwall et al.	The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations	JHEP 07 (2014) 079	1405.0301
41	P. Skands, S. Carrazza and J. Rojo	Tuning PYTHIA 8.1: the Monash 2013 Tune	EPJC 74 (2014) 3024	1404.5630
42	NNPDF Collaboration	Parton distributions for the LHC run II	JHEP 04 (2015) 040	1410.8849
43	NNPDF Collaboration	A first unbiased global NLO determination of parton distributions and their uncertainties	Nucl. Phys. B 838 (2010) 136	1002.4407
44	NNPDF Collaboration	Impact of heavy quark masses on parton distributions and LHC phenomenology	Nucl. Phys. B 849 (2011) 296	1101.1300
45	Particle Data Group, K. A. Olive et al.	Review of Particle Physics	CPC 38 (2014) 090001
46	R. Frederix et al.	Four-lepton production at hadron colliders: aMC@NLO predictions with theoretical uncertainties	JHEP 02 (2012) 099	1110.4738
47	I. W. Stewart and F. J. Tackmann	Theory uncertainties for Higgs mass and other searches using jet bins	PRD 85 (2012) 034011	1107.2117
48	M. L. Mangano et al.	ALPGEN, a generator for hard multiparton processes in hadronic collisions	JHEP 07 (2003) 001	hep-ph/0206293
49	G. Corcella et al.	HERWIG 6: an event generator for hadron emission reactions with interfering gluons (including supersymmetric processes)	JHEP 01 (2001) 010	hep-ph/0011363
50	CMS Collaboration	Rapidity distributions in exclusive $ \mathrm{ Z } $ + jet and $ \gamma $ + jet events in $ \mathrm{ p }\mathrm{ p } $ collisions at $ \sqrt{s} $ = 7 TeV	PRD 88 (2013) 112009	CMS-SMP-12-004 1310.3082

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