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Compact Muon Solenoid
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CMS-SMP-17-010 ; CERN-EP-2019-175
Measurements of differential Z boson production cross sections in proton-proton collisions at $\sqrt{s} = $ 13 TeV
JHEP 12 (2019) 061
Abstract: Measurements are presented of the differential cross sections for Z bosons produced in proton-proton collisions at $\sqrt{s} = $ 13 TeV and decaying to muons and electrons. The data analyzed were collected in 2016 with the CMS detector at the LHC and correspond to an integrated luminosity of 35.9 fb$^{-1}$ . The measured fiducial inclusive product of cross section and branching fraction agrees with next-to-next-to-leading order quantum chromodynamics calculations. Differential cross sections of the transverse momentum ${p_{\mathrm{T}}}$, the optimized angular variable ${\phi^{ *}_\eta}$, and the rapidity of lepton pairs are measured. The data are corrected for detector effects and compared to theoretical predictions using fixed order, resummed, and parton shower calculations. The uncertainties of the measured normalized cross sections are smaller than 0.5% for ${\phi^{ *}_\eta} < $ 0.5 and for ${p_{\mathrm{T}}}^{\mathrm{Z}} < $ 50 GeV.
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Figures

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Figure 1:
The relative statistical and systematic uncertainties from various sources for the absolute cross section measurements in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ (upper), $ {| {y}^{\mathrm{Z}} |}$ (middle), and $ {\phi ^{ *}_\eta}$ (lower). The left plots correspond to the dimuon final state and the right plots correspond to the dielectron final state. The uncertainty in the trigger efficiency is included as part of the lepton identification uncertainty.

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Figure 1-a:
The relative statistical and systematic uncertainties from various sources for the absolute cross section measurements in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$, in the dimuon final state. The uncertainty in the trigger efficiency is included as part of the lepton identification uncertainty.

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Figure 1-b:
The relative statistical and systematic uncertainties from various sources for the absolute cross section measurements in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$, in the dielectron final state. The uncertainty in the trigger efficiency is included as part of the lepton identification uncertainty.

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Figure 1-c:
The relative statistical and systematic uncertainties from various sources for the absolute cross section measurements in bins of $ {| {y}^{\mathrm{Z}} |}$, in the dimuon final state. The uncertainty in the trigger efficiency is included as part of the lepton identification uncertainty.

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Figure 1-d:
The relative statistical and systematic uncertainties from various sources for the absolute cross section measurements in bins of $ {| {y}^{\mathrm{Z}} |}$,in the dielectron final state. The uncertainty in the trigger efficiency is included as part of the lepton identification uncertainty.

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Figure 1-e:
The relative statistical and systematic uncertainties from various sources for the absolute cross section measurements in bins of $ {\phi ^{ *}_\eta}$, in the dimuon final state. The uncertainty in the trigger efficiency is included as part of the lepton identification uncertainty.

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Figure 1-f:
The relative statistical and systematic uncertainties from various sources for the absolute cross section measurements in bins of $ {\phi ^{ *}_\eta}$, in the dielectron final state. The uncertainty in the trigger efficiency is included as part of the lepton identification uncertainty.

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Figure 2:
The relative statistical and systematic uncertainties from various sources for the normalized cross section measurements in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ (upper), $ {| {y}^{\mathrm{Z}} |}$ (middle), and $ {\phi ^{ *}_\eta}$ (lower). The left plots correspond to the dimuon final state and the right plots correspond to the dielectron final state.

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Figure 2-a:
The relative statistical and systematic uncertainties from various sources for the normalized cross section measurements in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$, in the dimuon final state.

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Figure 2-b:
The relative statistical and systematic uncertainties from various sources for the normalized cross section measurements in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$, in the dielectron final state.

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Figure 2-c:
The relative statistical and systematic uncertainties from various sources for the normalized cross section measurements in bins of $ {| {y}^{\mathrm{Z}} |}$, in the dimuon final state.

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Figure 2-d:
The relative statistical and systematic uncertainties from various sources for the normalized cross section measurements in bins of $ {| {y}^{\mathrm{Z}} |}$, in the dielectron final state.

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Figure 2-e:
The relative statistical and systematic uncertainties from various sources for the normalized cross section measurements in bins of $ {\phi ^{ *}_\eta}$, in the dimuon final state.

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Figure 2-f:
The relative statistical and systematic uncertainties from various sources for the normalized cross section measurements in bins of $ {\phi ^{ *}_\eta}$, in the dielectron final state.

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Figure 3:
The relative statistical and systematic uncertainties from various sources for the absolute double-differential cross section measurements in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.0 $ < {| {y}^{\mathrm{Z}} |} < $ 0.4 bin (upper left), 0.4 $ < {| {y}^{\mathrm{Z}} |} < $ 0.8 bin (upper right), 0.8 $ < {| {y}^{\mathrm{Z}} |} < $ 1.2 bin (middle left), 1.2 $ < {| {y}^{\mathrm{Z}} |} < $ 1.6 bin (middle right), and 1.6 $ < {| {y}^{\mathrm{Z}} |} < $ 2.4 bin (lower) in the dimuon final state.

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Figure 3-a:
The relative statistical and systematic uncertainties from various sources for the absolute double-differential cross section measurements in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.0 $ < {| {y}^{\mathrm{Z}} |} < $ 0.4 bin, in the dimuon final state.

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Figure 3-b:
The relative statistical and systematic uncertainties from various sources for the absolute double-differential cross section measurements in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.4 $ < {| {y}^{\mathrm{Z}} |} < $ 0.8 bin, in the dimuon final state.

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Figure 3-c:
The relative statistical and systematic uncertainties from various sources for the absolute double-differential cross section measurements in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.8 $ < {| {y}^{\mathrm{Z}} |} < $ 1.2 bin, in the dimuon final state.

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Figure 3-d:
The relative statistical and systematic uncertainties from various sources for the absolute double-differential cross section measurements in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 1.2 $ < {| {y}^{\mathrm{Z}} |} < $ 1.6 bin, in the dimuon final state.

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Figure 3-e:
The relative statistical and systematic uncertainties from various sources for the absolute double-differential cross section measurements in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 1.6 $ < {| {y}^{\mathrm{Z}} |} < $ 2.4 bin, in the dimuon final state.

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Figure 4:
The relative statistical and systematic uncertainties from various sources for the absolute double-differential cross section measurements in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.0 $ < {| {y}^{\mathrm{Z}} |} < $ 0.4 bin (upper left), 0.4 $ < {| {y}^{\mathrm{Z}} |} < $ 0.8 bin (upper right), 0.8 $ < {| {y}^{\mathrm{Z}} |} < $ 1.2 bin (middle left), 1.2 $ < {| {y}^{\mathrm{Z}} |} < $ 1.6 bin (middle right), and 1.6 $ < {| {y}^{\mathrm{Z}} |} < $ 2.4 bin (lower) in the dielectron final state.

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Figure 4-a:
The relative statistical and systematic uncertainties from various sources for the absolute double-differential cross section measurements in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.0 $ < {| {y}^{\mathrm{Z}} |} < $ 0.4 bin. in the dielectron final state.

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Figure 4-b:
The relative statistical and systematic uncertainties from various sources for the absolute double-differential cross section measurements in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.4 $ < {| {y}^{\mathrm{Z}} |} < $ 0.8 bin. in the dielectron final state.

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Figure 4-c:
The relative statistical and systematic uncertainties from various sources for the absolute double-differential cross section measurements in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.8 $ < {| {y}^{\mathrm{Z}} |} < $ 1.2 bin. in the dielectron final state.

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Figure 4-d:
The relative statistical and systematic uncertainties from various sources for the absolute double-differential cross section measurements in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 1.2 $ < {| {y}^{\mathrm{Z}} |} < $ 1.6 bin. in the dielectron final state.

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Figure 4-e:
The relative statistical and systematic uncertainties from various sources for the absolute double-differential cross section measurements in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 1.6 $ < {| {y}^{\mathrm{Z}} |} < $ 2.4 bin. in the dielectron final state.

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Figure 5:
The measured absolute cross sections (left) in bins of $ {| {y}^{\mathrm{Z}} |}$ for the dimuon (upper) and dielectron (middle) final states, and for the combination (lower). The ratios of the predictions to the data are also shown (right). The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and FEWZ (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 5-a:
The measured absolute cross section in bins of $ {| {y}^{\mathrm{Z}} |}$ for the dimuon final state. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and FEWZ (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 5-b:
The ratios of the absolute cross section predictions to the data in bins of $ {| {y}^{\mathrm{Z}} |}$ for the dimuon final state. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and FEWZ (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 5-c:
The measured absolute cross section in bins of $ {| {y}^{\mathrm{Z}} |}$ for the dielectron final state. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and FEWZ (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 5-d:
The ratios of the absolute cross section predictions to the data in bins of $ {| {y}^{\mathrm{Z}} |}$ for the dielectron final state. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and FEWZ (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 5-e:
The measured absolute cross section in bins of $ {| {y}^{\mathrm{Z}} |}$ for the combination of dimuon and dielectron final states. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and FEWZ (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 5-f:
The ratios of the absolute cross section predictions to the data in bins of $ {| {y}^{\mathrm{Z}} |}$ for the combination of dimuon and dielectron final states. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and FEWZ (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 6:
The measured absolute cross sections (left) in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the dimuon (upper) and dielectron (middle) final states, and for the combination (lower). The ratios of the predictions to the data are also shown (right). The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 6-a:
The measured absolute cross sections in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the dimuon final state. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 6-b:
The ratios of the absolute cross sections predictions to the data in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the dimuon final state. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 6-c:
The measured absolute cross sections in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the dielectron final state. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 6-d:
The ratios of the absolute cross sections predictions to the data in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the dielectron final state. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 6-e:
The measured absolute cross sections in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the combination of dimuon and dielectron final states. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 6-f:
The ratios of the absolute cross sections predictions to the data in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the combination of dimuon and dielectron final states. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 7:
The ratios of the predictions to the data in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the combination of the dimuon and dielectron final states. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The left plot shows comparisons to the predictions with PB TMD (square red markers), RESBOS (green triangles), and GENEVA (blue circles). The right plot shows the $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ distribution for $ {p_{\mathrm {T}}} > $ 32 GeV compared to the predictions with MadGraph 5_aMC@NLO (square red markers), $\mathrm{Z} $+1 jet at NNLO (green triangles), and FEWZ (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties. Only the statistical uncertainties are shown for the predictions with RESBOS.

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Figure 7-a:
The ratios of the predictions to the data in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the combination of the dimuon and dielectron final states. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The plot shows comparisons to the predictions with PB TMD (square red markers), RESBOS (green triangles), and GENEVA (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties. Only the statistical uncertainties are shown for the predictions with RESBOS.

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Figure 7-b:
The ratios of the predictions to the data in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the combination of the dimuon and dielectron final states. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The plot shows the $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ distribution for $ {p_{\mathrm {T}}} > $ 32 GeV compared to the predictions with MadGraph 5_aMC@NLO (square red markers), $\mathrm{Z} $+1 jet at NNLO (green triangles), and FEWZ (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 8:
The measured absolute cross sections (left) in bins of $ {\phi ^{ *}_\eta}$ for the dimuon (upper) and dielectron (middle) final states, and for the combination (lower). The ratios of the predictions to the data are also shown (right). The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), PB TMD (green triangles), and POWHEG-MINLO (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 8-a:
The measured absolute cross sections in bins of $ {\phi ^{ *}_\eta}$ for the dimuon final state. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), PB TMD (green triangles), and POWHEG-MINLO (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 8-b:
The ratios of absolute cross section predictions to the data in bins of $ {\phi ^{ *}_\eta}$ for the dimuon final state. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), PB TMD (green triangles), and POWHEG-MINLO (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 8-c:
The measured absolute cross sections in bins of $ {\phi ^{ *}_\eta}$ for the dielectron final state. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), PB TMD (green triangles), and POWHEG-MINLO (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 8-d:
The ratios of absolute cross section predictions to the data in bins of $ {\phi ^{ *}_\eta}$ for the dielectron final state. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), PB TMD (green triangles), and POWHEG-MINLO (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 8-e:
The measured absolute cross sections in bins of $ {\phi ^{ *}_\eta}$ for of combination of dimuon and dielectron final states. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), PB TMD (green triangles), and POWHEG-MINLO (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 8-f:
The ratios of absolute cross section predictions to the data in bins of $ {\phi ^{ *}_\eta}$ for the combination of dimuon and dielectron final states. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), PB TMD (green triangles), and POWHEG-MINLO (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 9:
The measured absolute cross sections (left) in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.0 $ < {| {y}^{\mathrm{Z}} |} < $ 0.4 region. The ratios of the predictions to the data are also shown (right). The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 9-a:
The measured absolute cross sections in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.0 $ < {| {y}^{\mathrm{Z}} |} < $ 0.4 region. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 9-b:
The ratios of absolute cross section predictions to the data in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.0 $ < {| {y}^{\mathrm{Z}} |} < $ 0.4 region. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 10:
The measured absolute cross sections (left) in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.4 $ < {| {y}^{\mathrm{Z}} |} < $ 0.8 region. The ratios of the predictions to the data are also shown (right). The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 10-a:
The measured absolute cross sections in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.4 $ < {| {y}^{\mathrm{Z}} |} < $ 0.8 region. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 10-b:
The ratio of absolute cross section predictions to the data in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.4 $ < {| {y}^{\mathrm{Z}} |} < $ 0.8 region. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 11:
The measured absolute cross sections (left) in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.8 $ < {| {y}^{\mathrm{Z}} |} < $ 1.2 region. The ratios of the predictions to the data are also shown (right). The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 11-a:
The measured absolute cross sections in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.8 $ < {| {y}^{\mathrm{Z}} |} < $ 1.2 region. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 11-b:
The ratio of absolute cross section predictions to the data in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.8 $ < {| {y}^{\mathrm{Z}} |} < $ 1.2 region. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 12:
The measured absolute cross sections (left) in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 1.2 $ < {| {y}^{\mathrm{Z}} |} < $ 1.6 region. The ratios of the predictions to the data are also shown (right). The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 12-a:
The measured absolute cross sections in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 1.2 $ < {| {y}^{\mathrm{Z}} |} < $ 1.6 region. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 12-b:
The ratio of absolute cross section predictions to the data in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 1.2 $ < {| {y}^{\mathrm{Z}} |} < $ 1.6 region. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 13:
The measured absolute cross sections (left) in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 1.6 $ < {| {y}^{\mathrm{Z}} |} < $ 2.4 region. The ratios of the predictions to the data are also shown (right). The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

png pdf
Figure 13-a:
The measured absolute cross sections in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 1.6 $ < {| {y}^{\mathrm{Z}} |} < $ 2.4 region. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

png pdf
Figure 13-b:
The ratio of absolute cross section predictions to the data in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 1.6 $ < {| {y}^{\mathrm{Z}} |} < $ 2.4 region. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 14:
The measured normalized cross sections (left) in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ (upper), $ {\phi ^{ *}_\eta}$ (middle), and $ {| {y}^{\mathrm{Z}} |}$ (lower) for the combined measurement. The ratios of the predictions to the data are also shown (right). The shaded bands around the data points (black) correspond to the total experimental uncertainty. The $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ and $ {\phi ^{ *}_\eta}$ measurements are compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The $ {| {y}^{\mathrm{Z}} |}$ measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and FEWZ (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 14-a:
The measured normalized cross sections in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the combined measurement. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ and $ {\phi ^{ *}_\eta}$ measurements are compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The $ {| {y}^{\mathrm{Z}} |}$ measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and FEWZ (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 14-b:
The ratio of normalized cross section predictions to the data in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the combined measurement. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ and $ {\phi ^{ *}_\eta}$ measurements are compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The $ {| {y}^{\mathrm{Z}} |}$ measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and FEWZ (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 14-c:
The measured normalized cross sections in bins of $ {\phi ^{ *}_\eta}$ for the combined measurement. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ and $ {\phi ^{ *}_\eta}$ measurements are compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The $ {| {y}^{\mathrm{Z}} |}$ measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and FEWZ (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 14-d:
The ratio of normalized cross section predictions to the data in bins of $ {\phi ^{ *}_\eta}$ for the combined measurement. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ and $ {\phi ^{ *}_\eta}$ measurements are compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The $ {| {y}^{\mathrm{Z}} |}$ measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and FEWZ (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 14-e:
The measured normalized cross sections in bins of $ {| {y}^{\mathrm{Z}} |}$ for the combined measurement. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ and $ {\phi ^{ *}_\eta}$ measurements are compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The $ {| {y}^{\mathrm{Z}} |}$ measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and FEWZ (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 14-f:
The ratio of normalized cross section predictions to the data in bins of $ {| {y}^{\mathrm{Z}} |}$ for the combined measurement. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ and $ {\phi ^{ *}_\eta}$ measurements are compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The $ {| {y}^{\mathrm{Z}} |}$ measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and FEWZ (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 15:
The measured normalized cross sections (left) in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.0 $ < {| {y}^{\mathrm{Z}} |} < $ 0.4 region. The ratios of the predictions to the data are also shown (right). The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 15-a:
The measured normalized cross sections in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.0 $ < {| {y}^{\mathrm{Z}} |} < $ 0.4 region. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 15-b:
The ratios of normalized cross section predictions to the data in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.0 $ < {| {y}^{\mathrm{Z}} |} < $ 0.4 region. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 16:
The measured normalized cross sections (left) in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.4 $ < {| {y}^{\mathrm{Z}} |} < $ 0.8 region. The ratios of the predictions to the data are also shown (right). The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 16-a:
The measured normalized cross sections in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.4 $ < {| {y}^{\mathrm{Z}} |} < $ 0.8 region. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 16-b:
The ratio of normalized cross section predictions to the data in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.4 $ < {| {y}^{\mathrm{Z}} |} < $ 0.8 region. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 17:
The measured normalized cross sections (left) in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.8 $ < {| {y}^{\mathrm{Z}} |} < $ 1.2 region. The ratios of the predictions to the data are also shown (right). The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 17-a:
The measured normalized cross sections in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.8 $ < {| {y}^{\mathrm{Z}} |} < $ 1.2 region. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 17-b:
The ratio of normalized cross section predictions to the data in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 0.8 $ < {| {y}^{\mathrm{Z}} |} < $ 1.2 region. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 18:
The measured normalized cross sections (left) in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 1.2 $ < {| {y}^{\mathrm{Z}} |} < $ 1.6 region. The ratios of the predictions to the data are also shown (right). The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 18-a:
The measured normalized cross sections in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 1.2 $ < {| {y}^{\mathrm{Z}} |} < $ 1.6 region. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 18-b:
The ratio of normalized cross section predictions to the data in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 1.2 $ < {| {y}^{\mathrm{Z}} |} < $ 1.6 region. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 19:
The measured normalized cross sections (left) in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 1.6 $ < {| {y}^{\mathrm{Z}} |} < $ 2.4 region. The ratios of the predictions to the data are also shown (right). The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 19-a:
The measured normalized cross sections in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 1.6 $ < {| {y}^{\mathrm{Z}} |} < $ 2.4 region. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Figure 19-b:
The ratio of normalized cross section predictions to the data in bins of $ {p_{\mathrm {T}}} ^{\mathrm{Z}}$ for the 1.6 $ < {| {y}^{\mathrm{Z}} |} < $ 2.4 region. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties.
Tables

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Table 1:
Summary of data, expected signal, and background yields after the full selection. The predicted signal yields are quoted using MadGraph 5_aMC@NLO. The statistical uncertainties in the simulated samples are below 0.1%.

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Table 2:
Summary of the systematic uncertainties for the inclusive fiducial cross section measurements.

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Table 3:
The measured inclusive fiducial cross sections in the dimuon and dielectron final states. The combined measurement is also shown. $\mathcal {B}$ is the $\mathrm{Z} \to \ell \ell $ branching fraction.
Summary
Measurements are reported of the differential cross sections for Z bosons produced in proton-proton collisions at $\sqrt{s}$ = 13 TeV and decaying to muons and electrons. The data set used corresponds to an integrated luminosity of 35.9 fb$^{-1}$ . Distributions of the transverse momentum ${p_{\mathrm{T}}}$, the angular variable $\phi^{*}$, and the rapidity of lepton pairs are measured. The results are corrected for detector effects and compared to various theoretical predictions. The measurements provide sensitive tests of theoretical predictions using fixed-order, resummed, and parton shower calculations. The uncertainties in the normalized cross section measurements are smaller than 0.5% for ${\phi^{ *}_\eta} < $ 0.5 and for ${p_{\mathrm{T}}}^{\mathrm{Z}} < $ 50 GeV.
Additional Figures

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Additional Figure 1:
Covariance matrix for the absolute cross section measurements using dressed leptons in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ (upper), $ {| {y}^{{\mathrm {Z}}} |}$ (middle), and $ {\phi ^{\scriptscriptstyle *}_\eta}$ (lower). The left plots correspond to the dimuon final state and the right plots correspond to the dielectron final state.

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Additional Figure 1-a:
Covariance matrix for the absolute cross section measurements using dressed leptons in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$. The plot corresponds to the dimuon final state.

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Additional Figure 1-b:
Covariance matrix for the absolute cross section measurements using dressed leptons in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$. The plot corresponds to the dielectron final state.

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Additional Figure 1-c:
Covariance matrix for the absolute cross section measurements using dressed leptons in bins of $ {| {y}^{{\mathrm {Z}}} |}$. The plot corresponds to the dimuon final state.

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Additional Figure 1-d:
Covariance matrix for the absolute cross section measurements using dressed leptons in bins of $ {| {y}^{{\mathrm {Z}}} |}$. The plot corresponds to the dielectron final state.

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Additional Figure 1-e:
Covariance matrix for the absolute cross section measurements using dressed leptons in bins of $ {\phi ^{\scriptscriptstyle *}_\eta}$. The plot corresponds to the dimuon final state.

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Additional Figure 1-f:
Covariance matrix for the absolute cross section measurements using dressed leptons in bins of $ {\phi ^{\scriptscriptstyle *}_\eta}$. The plot corresponds to the dielectron final state.

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Additional Figure 2:
Covariance matrix for the absolute double-differential cross section measurements using dressed leptons in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 0.0 $ < {| {y}^{{\mathrm {Z}}} |} < $ 0.4 bin (upper left), 0.4 $ < {| {y}^{{\mathrm {Z}}} |} < $ 0.8 bin (upper right), 0.8 $ < {| {y}^{{\mathrm {Z}}} |} < $ 1.2 bin (middle left), 1.2 $ < {| {y}^{{\mathrm {Z}}} |} < $ 1.6 bin (middle right), and 1.6 $ < {| {y}^{{\mathrm {Z}}} |} < $ 2.4 bin (lower) in the dimuon final state.

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Additional Figure 2-a:
Covariance matrix for the absolute double-differential cross section measurements using dressed leptons in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 0.0 $ < {| {y}^{{\mathrm {Z}}} |} < $ 0.4 bin in the dimuon final state.

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Additional Figure 2-b:
Covariance matrix for the absolute double-differential cross section measurements using dressed leptons in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 0.4 $ < {| {y}^{{\mathrm {Z}}} |} < $ 0.8 bin in the dimuon final state.

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Additional Figure 2-c:
Covariance matrix for the absolute double-differential cross section measurements using dressed leptons in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 0.8 $ < {| {y}^{{\mathrm {Z}}} |} < $ 1.2 bin in the dimuon final state.

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Additional Figure 2-d:
Covariance matrix for the absolute double-differential cross section measurements using dressed leptons in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 1.2 $ < {| {y}^{{\mathrm {Z}}} |} < $ 1.6 bin in the dimuon final state.

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Additional Figure 2-e:
Covariance matrix for the absolute double-differential cross section measurements using dressed leptons in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 1.6 $ < {| {y}^{{\mathrm {Z}}} |} < $ 2.4 bin in the dimuon final state.

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Additional Figure 3:
Covariance matrix for the absolute double-differential cross section measurements using dressed leptons in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 0.0 $ < {| {y}^{{\mathrm {Z}}} |} < $ 0.4 bin (upper left), 0.4 $ < {| {y}^{{\mathrm {Z}}} |} < $ 0.8 bin (upper right), 0.8 $ < {| {y}^{{\mathrm {Z}}} |} < $ 1.2 bin (middle left), 1.2 $ < {| {y}^{{\mathrm {Z}}} |} < $ 1.6 bin (middle right), and 1.6 $ < {| {y}^{{\mathrm {Z}}} |} < $ 2.4 bin (lower) in the dielectron final state.

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Additional Figure 3-a:
Covariance matrix for the absolute double-differential cross section measurements using dressed leptons in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 0.0 $ < {| {y}^{{\mathrm {Z}}} |} < $ 0.4 bin in the dielectron final state.

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Additional Figure 3-b:
Covariance matrix for the absolute double-differential cross section measurements using dressed leptons in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 0.4 $ < {| {y}^{{\mathrm {Z}}} |} < $ 0.8 bin in the dielectron final state.

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Additional Figure 3-c:
Covariance matrix for the absolute double-differential cross section measurements using dressed leptons in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 0.8 $ < {| {y}^{{\mathrm {Z}}} |} < $ 1.2 bin in the dielectron final state.

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Additional Figure 3-d:
Covariance matrix for the absolute double-differential cross section measurements using dressed leptons in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 1.2 $ < {| {y}^{{\mathrm {Z}}} |} < $ 1.6 bin in the dielectron final state.

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Additional Figure 3-e:
Covariance matrix for the absolute double-differential cross section measurements using dressed leptons in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 1.6 $ < {| {y}^{{\mathrm {Z}}} |} < $ 2.4 bin in the dielectron final state.

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Additional Figure 4:
Covariance matrix for the absolute cross section measurements using Born level (before FSR) leptons in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ (upper), $ {| {y}^{{\mathrm {Z}}} |}$ (middle), and $ {\phi ^{\scriptscriptstyle *}_\eta}$ (lower). The left plots correspond to the dimuon final state and the right plots correspond to the dielectron final state.

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Additional Figure 4-a:
Covariance matrix for the absolute cross section measurements using Born level (before FSR) leptons in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$. The plot corresponds to the dimuon final state.

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Additional Figure 4-b:
Covariance matrix for the absolute cross section measurements using Born level (before FSR) leptons in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$. The plot corresponds to the dielectron final state.

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Additional Figure 4-c:
Covariance matrix for the absolute cross section measurements using Born level (before FSR) leptons in bins of $ {| {y}^{{\mathrm {Z}}} |}$. The plot corresponds to the dimuon final state.

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Additional Figure 4-d:
Covariance matrix for the absolute cross section measurements using Born level (before FSR) leptons in bins of $ {| {y}^{{\mathrm {Z}}} |}$. The plot corresponds to the dielectron final state.

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Additional Figure 4-e:
Covariance matrix for the absolute cross section measurements using Born level (before FSR) leptons in bins of $ {\phi ^{\scriptscriptstyle *}_\eta}$. The plot corresponds to the dimuon final state.

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Additional Figure 4-f:
Covariance matrix for the absolute cross section measurements using Born level (before FSR) leptons in bins of $ {\phi ^{\scriptscriptstyle *}_\eta}$. The plot corresponds to the dielectron final state.

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Additional Figure 5:
Covariance matrix for the absolute double-differential cross section measurements using Born level (before FSR) leptons in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 0.0 $ < {| {y}^{{\mathrm {Z}}} |} < $ 0.4 bin (upper left), 0.4 $ < {| {y}^{{\mathrm {Z}}} |} < $ 0.8 bin (upper right), 0.8 $ < {| {y}^{{\mathrm {Z}}} |} < $ 1.2 bin (middle left), 1.2 $ < {| {y}^{{\mathrm {Z}}} |} < $ 1.6 bin (middle right), and 1.6 $ < {| {y}^{{\mathrm {Z}}} |} < $ 2.4 bin (lower) in the dimuon final state.

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Additional Figure 5-a:
Covariance matrix for the absolute double-differential cross section measurements using Born level (before FSR) leptons in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 0.0 $ < {| {y}^{{\mathrm {Z}}} |} < $ 0.4 bin in the dimuon final state.

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Additional Figure 5-b:
Covariance matrix for the absolute double-differential cross section measurements using Born level (before FSR) leptons in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 0.4 $ < {| {y}^{{\mathrm {Z}}} |} < $ 0.8 bin in the dimuon final state.

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Additional Figure 5-c:
Covariance matrix for the absolute double-differential cross section measurements using Born level (before FSR) leptons in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 0.8 $ < {| {y}^{{\mathrm {Z}}} |} < $ 1.2 bin in the dimuon final state.

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Additional Figure 5-d:
Covariance matrix for the absolute double-differential cross section measurements using Born level (before FSR) leptons in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 1.2 $ < {| {y}^{{\mathrm {Z}}} |} < $ 1.6 bin in the dimuon final state.

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Additional Figure 5-e:
Covariance matrix for the absolute double-differential cross section measurements using Born level (before FSR) leptons in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 1.6 $ < {| {y}^{{\mathrm {Z}}} |} < $ 2.4 bin in the dimuon final state.

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Additional Figure 6:
Covariance matrix for the absolute double-differential cross section measurements using Born level (before FSR) leptons in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 0.0 $ < {| {y}^{{\mathrm {Z}}} |} < $ 0.4 bin (upper left), 0.4 $ < {| {y}^{{\mathrm {Z}}} |} < $ 0.8 bin (upper right), 0.8 $ < {| {y}^{{\mathrm {Z}}} |} < $ 1.2 bin (middle left), 1.2 $ < {| {y}^{{\mathrm {Z}}} |} < $ 1.6 bin (middle right), and 1.6 $ < {| {y}^{{\mathrm {Z}}} |} < $ 2.4 bin (lower) in the dielectron final state.

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Additional Figure 6-a:
Covariance matrix for the absolute double-differential cross section measurements using Born level (before FSR) leptons in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 0.0 $ < {| {y}^{{\mathrm {Z}}} |} < $ 0.4 bin in the dielectron final state.

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Additional Figure 6-b:
Covariance matrix for the absolute double-differential cross section measurements using Born level (before FSR) leptons in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 0.4 $ < {| {y}^{{\mathrm {Z}}} |} < $ 0.8 bin in the dielectron final state.

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Additional Figure 6-c:
Covariance matrix for the absolute double-differential cross section measurements using Born level (before FSR) leptons in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 0.8 $ < {| {y}^{{\mathrm {Z}}} |} < $ 1.2 bin in the dielectron final state.

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Additional Figure 6-d:
Covariance matrix for the absolute double-differential cross section measurements using Born level (before FSR) leptons in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 1.2 $ < {| {y}^{{\mathrm {Z}}} |} < $ 1.6 bin in the dielectron final state.

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Additional Figure 6-e:
Covariance matrix for the absolute double-differential cross section measurements using Born level (before FSR) leptons in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 1.6 $ < {| {y}^{{\mathrm {Z}}} |} < $ 2.4 binin the dielectron final state.

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Additional Figure 7:
The measured absolute Born level (before FSR) cross sections (left) in bins of $ {| {y}^{{\mathrm {Z}}} |}$ for the dimuon (upper) and dielectron (middle) final states, and for the combination (lower). The ratios of the predictions to the data are also shown (right). The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and FEWZ (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Additional Figure 7-a:
The measured absolute Born level (before FSR) cross sections in bins of $ {| {y}^{{\mathrm {Z}}} |}$ for the dimuon final states. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and FEWZ (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Additional Figure 7-b:
The ratios of the predictions to the data for the measured absolute Born level (before FSR) cross sections in bins of $ {| {y}^{{\mathrm {Z}}} |}$ for the dimuon final states. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and FEWZ (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Additional Figure 7-c:
The measured absolute Born level (before FSR) cross sections in bins of $ {| {y}^{{\mathrm {Z}}} |}$ for the dielectron final states. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and FEWZ (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Additional Figure 7-d:
The ratios of the predictions to the data for the measured absolute Born level (before FSR) cross sections in bins of $ {| {y}^{{\mathrm {Z}}} |}$ for the dielectron final states. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and FEWZ (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Additional Figure 7-e:
The measured absolute Born level (before FSR) cross sections in bins of $ {| {y}^{{\mathrm {Z}}} |}$ for the combination of dimuon and dielectron final states. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and FEWZ (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Additional Figure 7-f:
The ratios of the predictions to the data for the measured absolute Born level (before FSR) cross sections in bins of $ {| {y}^{{\mathrm {Z}}} |}$ for the combination of dimuon and dielectron final states. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and FEWZ (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Additional Figure 8:
The measured absolute Born level (before FSR) cross sections (left) in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the dimuon (upper) and dielectron (middle) final states, and for the combination (lower). The ratios of the predictions to the data are also shown (right). The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties. The first $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ bin (0-1 GeV) is not shown as large differences were observed in MadGraph 5_aMC@NLO and POWHEG predictions at Born level.

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Additional Figure 8-a:
The measured absolute Born level (before FSR) cross sections in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the dimuon final state. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties. The first $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ bin (0-1 GeV) is not shown as large differences were observed in MadGraph 5_aMC@NLO and POWHEG predictions at Born level.

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Additional Figure 8-b:
The ratios of the predictions to the data for the measured absolute Born level (before FSR) cross sections in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the dimuon final state. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties. The first $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ bin (0-1 GeV) is not shown as large differences were observed in MadGraph 5_aMC@NLO and POWHEG predictions at Born level.

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Additional Figure 8-c:
The measured absolute Born level (before FSR) cross sections in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the dielectron final state. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties. The first $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ bin (0-1 GeV) is not shown as large differences were observed in MadGraph 5_aMC@NLO and POWHEG predictions at Born level.

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Additional Figure 8-d:
The ratios of the predictions to the data for the measured absolute Born level (before FSR) cross sections in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the dielectron final state. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties. The first $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ bin (0-1 GeV) is not shown as large differences were observed in MadGraph 5_aMC@NLO and POWHEG predictions at Born level.

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Additional Figure 8-e:
The measured absolute Born level (before FSR) cross sections in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the combination of dimuon and dielectron final states. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties. The first $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ bin (0-1 GeV) is not shown as large differences were observed in MadGraph 5_aMC@NLO and POWHEG predictions at Born level.

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Additional Figure 8-f:
The ratios of the predictions to the data for the measured absolute Born level (before FSR) cross sections in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the combination of dimuon and dielectron final states. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties. The first $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ bin (0-1 GeV) is not shown as large differences were observed in MadGraph 5_aMC@NLO and POWHEG predictions at Born level.

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Additional Figure 9:
The measured absolute Born level (before FSR) cross sections (left) in bins of $ {\phi ^{\scriptscriptstyle *}_\eta}$ for the dimuon (upper) and dielectron (middle) final states, and for the combination (lower). The ratios of the predictions to the data are also shown (right). The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Additional Figure 9-a:
The measured absolute Born level (before FSR) cross sections (left) in bins of $ {\phi ^{\scriptscriptstyle *}_\eta}$ for the dimuon final state. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

png pdf
Additional Figure 9-b:
The ratios of the predictions to the data for the measured absolute Born level (before FSR) cross sections (left) in bins of $ {\phi ^{\scriptscriptstyle *}_\eta}$ for the dimuon final state. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Additional Figure 9-c:
The measured absolute Born level (before FSR) cross sections (left) in bins of $ {\phi ^{\scriptscriptstyle *}_\eta}$ for the dielectron final state. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Additional Figure 9-d:
The ratios of the predictions to the data for the measured absolute Born level (before FSR) cross sections (left) in bins of $ {\phi ^{\scriptscriptstyle *}_\eta}$ for the dielectron final state. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Additional Figure 9-e:
The measured absolute Born level (before FSR) cross sections (left) in bins of $ {\phi ^{\scriptscriptstyle *}_\eta}$ for the combination of dimuon and dielectron final states. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Additional Figure 9-f:
The ratios of the predictions to the data for the measured absolute Born level (before FSR) cross sections (left) in bins of $ {\phi ^{\scriptscriptstyle *}_\eta}$ for the combination of dimuon and dielectron final states. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Additional Figure 10:
The measured absolute Born level (before FSR) cross sections (left) in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 0.0 $ < {| {y}^{{\mathrm {Z}}} |} < $ 0.4 region. The ratios of the predictions to the data are also shown (right). The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties. The first $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ bin (0-1 GeV) is not shown as large differences were observed in MadGraph 5_aMC@NLO and POWHEG predictions at Born level.

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Additional Figure 10-a:
The measured absolute Born level (before FSR) cross sections in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 0.0 $ < {| {y}^{{\mathrm {Z}}} |} < $ 0.4 region. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties. The first $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ bin (0-1 GeV) is not shown as large differences were observed in MadGraph 5_aMC@NLO and POWHEG predictions at Born level.

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Additional Figure 10-b:
The ratios of the predictions to the data for the measured absolute Born level (before FSR) cross sections in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 0.0 $ < {| {y}^{{\mathrm {Z}}} |} < $ 0.4 region. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties. The first $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ bin (0-1 GeV) is not shown as large differences were observed in MadGraph 5_aMC@NLO and POWHEG predictions at Born level.

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Additional Figure 11:
The measured absolute Born level (before FSR) cross sections (left) in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 0.4 $ < {| {y}^{{\mathrm {Z}}} |} < $ 0.8 region. The ratios of the predictions to the data are also shown (right). The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties. The first $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ bin (0-1 GeV) is not shown as large differences were observed in MadGraph 5_aMC@NLO and POWHEG predictions at Born level.

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Additional Figure 11-a:
The measured absolute Born level (before FSR) cross sections in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 0.4 $ < {| {y}^{{\mathrm {Z}}} |} < $ 0.8 region. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties. The first $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ bin (0-1 GeV) is not shown as large differences were observed in MadGraph 5_aMC@NLO and POWHEG predictions at Born level.

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Additional Figure 11-b:
The ratios of the predictions to the data for the measured absolute Born level (before FSR) cross sections in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 0.4 $ < {| {y}^{{\mathrm {Z}}} |} < $ 0.8 region. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties. The first $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ bin (0-1 GeV) is not shown as large differences were observed in MadGraph 5_aMC@NLO and POWHEG predictions at Born level.

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Additional Figure 12:
The measured absolute Born level (before FSR) cross sections (left) in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 0.8 $ < {| {y}^{{\mathrm {Z}}} |} < $ 1.2 region. The ratios of the predictions to the data are also shown (right). The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties. The first $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ bin (0-1 GeV) is not shown as large differences were observed in MadGraph 5_aMC@NLO and POWHEG predictions at Born level.

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Additional Figure 12-a:
The measured absolute Born level (before FSR) cross sections in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 0.8 $ < {| {y}^{{\mathrm {Z}}} |} < $ 1.2 region. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties. The first $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ bin (0-1 GeV) is not shown as large differences were observed in MadGraph 5_aMC@NLO and POWHEG predictions at Born level.

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Additional Figure 12-b:
The ratios of the predictions to the data of the measured absolute Born level (before FSR) cross sections in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 0.8 $ < {| {y}^{{\mathrm {Z}}} |} < $ 1.2 region. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties. The first $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ bin (0-1 GeV) is not shown as large differences were observed in MadGraph 5_aMC@NLO and POWHEG predictions at Born level.

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Additional Figure 13:
The measured absolute Born level (before FSR) cross sections (left) in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 1.2 $ < {| {y}^{{\mathrm {Z}}} |} < $ 1.6 region. The ratios of the predictions to the data are also shown (right). The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties. The first $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ bin (0-1 GeV) is not shown as large differences were observed in MadGraph 5_aMC@NLO and POWHEG predictions at Born level.

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Additional Figure 13-a:
The measured absolute Born level (before FSR) cross sections (left) in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 1.2 $ < {| {y}^{{\mathrm {Z}}} |} < $ 1.6 region. The ratios of the predictions to the data are also shown (right). The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties. The first $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ bin (0-1 GeV) is not shown as large differences were observed in MadGraph 5_aMC@NLO and POWHEG predictions at Born level.

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Additional Figure 13-b:
The ratios of the predictions to the data of the measured absolute Born level (before FSR) cross sections in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 1.2 $ < {| {y}^{{\mathrm {Z}}} |} < $ 1.6 region. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties. The first $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ bin (0-1 GeV) is not shown as large differences were observed in MadGraph 5_aMC@NLO and POWHEG predictions at Born level.

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Additional Figure 14:
The measured absolute Born level (before FSR) cross sections (left) in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 1.6 $ < {| {y}^{{\mathrm {Z}}} |} < $ 2.4 region. The ratios of the predictions to the data are also shown (right). The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties. The first $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ bin (0-1 GeV) is not shown as large differences were observed in MadGraph 5_aMC@NLO and POWHEG predictions at Born level.

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Additional Figure 14-a:
The measured absolute Born level (before FSR) cross sections in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 1.6 $ < {| {y}^{{\mathrm {Z}}} |} < $ 2.4 region. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties. The first $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ bin (0-1 GeV) is not shown as large differences were observed in MadGraph 5_aMC@NLO and POWHEG predictions at Born level.

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Additional Figure 14-b:
The ratios of the predictions to the data of the measured absolute Born level (before FSR) cross sections in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 1.6 $ < {| {y}^{{\mathrm {Z}}} |} < $ 2.4 region. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties. The first $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ bin (0-1 GeV) is not shown as large differences were observed in MadGraph 5_aMC@NLO and POWHEG predictions at Born level.

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Additional Figure 15:
The measured normalized Born level (before FSR) cross sections (left) in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ (upper), $ {\phi ^{\scriptscriptstyle *}_\eta}$ (middle), and $ {| {y}^{{\mathrm {Z}}} |}$ (lower) for the combined measurement. The ratios of the predictions to the data are also shown (right). The shaded bands around the data points (black) correspond to the total experimental uncertainty. The $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ and $ {\phi ^{\scriptscriptstyle *}_\eta}$ measurements are compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The $ {| {y}^{{\mathrm {Z}}} |}$ measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and FEWZ (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties. The first $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ bin (0-1 GeV) is not shown as large differences were observed in MadGraph 5_aMC@NLO and POWHEG predictions at Born level.

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Additional Figure 15-a:
The measured normalized Born level (before FSR) cross sections in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the combined measurement. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurements are compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties. The first bin (0-1 GeV) is not shown as large differences were observed in MadGraph 5_aMC@NLO and POWHEG predictions at Born level.

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Additional Figure 15-b:
The ratios of the predictions to the data of the measured normalized Born level (before FSR) cross sections in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the combined measurement. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurements are compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties. The first bin (0-1 GeV) is not shown as large differences were observed in MadGraph 5_aMC@NLO and POWHEG predictions at Born level.

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Additional Figure 15-c:
The measured normalized Born level (before FSR) cross sections in bins of $ {\phi ^{\scriptscriptstyle *}_\eta}$ for the combined measurement. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurements are compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Additional Figure 15-d:
The ratios of the predictions to the data of the measured normalized Born level (before FSR) cross sections in bins of $ {\phi ^{\scriptscriptstyle *}_\eta}$ for the combined measurement. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurements are compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Additional Figure 15-e:
The measured normalized Born level (before FSR) cross sections in bins of $ {| {y}^{{\mathrm {Z}}} |}$ for the combined measurement. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and FEWZ (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Additional Figure 15-f:
The ratios of the predictions to the data of the measured normalized Born level (before FSR) cross sections in bins of $ {| {y}^{{\mathrm {Z}}} |}$ for the combined measurement. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and FEWZ (blue circles). The error bars around the predictions correspond to the combined statistical, PDF, and scale uncertainties.

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Additional Figure 16:
The measured normalized Born level (before FSR) cross sections (left) in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 0.0 $ < {| {y}^{{\mathrm {Z}}} |} < $ 0.4 region. The ratios of the predictions to the data are also shown (right). The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties. The first $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ bin (0-1 GeV) is not shown as large differences were observed in MadGraph 5_aMC@NLO and POWHEG predictions at Born level.

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Additional Figure 16-a:
The measured normalized Born level (before FSR) cross sections in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 0.0 $ < {| {y}^{{\mathrm {Z}}} |} < $ 0.4 region. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties. The first $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ bin (0-1 GeV) is not shown as large differences were observed in MadGraph 5_aMC@NLO and POWHEG predictions at Born level.

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Additional Figure 16-b:
The ratios of the predictions to the data of the measured normalized Born level (before FSR) cross sections in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 0.0 $ < {| {y}^{{\mathrm {Z}}} |} < $ 0.4 region. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties. The first $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ bin (0-1 GeV) is not shown as large differences were observed in MadGraph 5_aMC@NLO and POWHEG predictions at Born level.

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Additional Figure 17:
The measured normalized Born level (before FSR) cross sections (left) in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 0.4 $ < {| {y}^{{\mathrm {Z}}} |} < $ 0.8 region. The ratios of the predictions to the data are also shown (right). The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties. The first $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ bin (0-1 GeV) is not shown as large differences were observed in MadGraph 5_aMC@NLO and POWHEG predictions at Born level.

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Additional Figure 17-a:
The measured normalized Born level (before FSR) cross sections in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 0.4 $ < {| {y}^{{\mathrm {Z}}} |} < $ 0.8 region. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties. The first $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ bin (0-1 GeV) is not shown as large differences were observed in MadGraph 5_aMC@NLO and POWHEG predictions at Born level.

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Additional Figure 17-b:
The ratios of the predictions to the data of the measured normalized Born level (before FSR) cross sections in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 0.4 $ < {| {y}^{{\mathrm {Z}}} |} < $ 0.8 region. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties. The first $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ bin (0-1 GeV) is not shown as large differences were observed in MadGraph 5_aMC@NLO and POWHEG predictions at Born level.

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Additional Figure 18:
The measured normalized Born level (before FSR) cross sections (left) in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 0.8 $ < {| {y}^{{\mathrm {Z}}} |} < $ 1.2 region. The ratios of the predictions to the data are also shown (right). The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties. The first $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ bin (0-1 GeV) is not shown as large differences were observed in MadGraph 5_aMC@NLO and POWHEG predictions at Born level.

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Additional Figure 18-a:
The measured normalized Born level (before FSR) cross sections in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 0.8 $ < {| {y}^{{\mathrm {Z}}} |} < $ 1.2 region. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties. The first $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ bin (0-1 GeV) is not shown as large differences were observed in MadGraph 5_aMC@NLO and POWHEG predictions at Born level.

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Additional Figure 18-b:
The ratios of the predictions to the dataof the measured normalized Born level (before FSR) cross sections in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 0.8 $ < {| {y}^{{\mathrm {Z}}} |} < $ 1.2 region. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties. The first $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ bin (0-1 GeV) is not shown as large differences were observed in MadGraph 5_aMC@NLO and POWHEG predictions at Born level.

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Additional Figure 19:
The measured normalized Born level (before FSR) cross sections (left) in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 1.2 $ < {| {y}^{{\mathrm {Z}}} |} < $ 1.6 region. The ratios of the predictions to the data are also shown (right). The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties. The first $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ bin (0-1 GeV) is not shown as large differences were observed in MadGraph 5_aMC@NLO and POWHEG predictions at Born level.

png pdf
Additional Figure 19-a:
The ratios of the predictions to the data of the measured normalized Born level (before FSR) cross sections in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 1.2 $ < {| {y}^{{\mathrm {Z}}} |} < $ 1.6 region. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties. The first $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ bin (0-1 GeV) is not shown as large differences were observed in MadGraph 5_aMC@NLO and POWHEG predictions at Born level.

png pdf
Additional Figure 19-b:
The measured normalized Born level (before FSR) cross sections (left) in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 1.2 $ < {| {y}^{{\mathrm {Z}}} |} < $ 1.6 region. The ratios of the predictions to the data are also shown (right). The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties. The first $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ bin (0-1 GeV) is not shown as large differences were observed in MadGraph 5_aMC@NLO and POWHEG predictions at Born level.

png pdf
Additional Figure 20:
The measured normalized Born level (before FSR) cross sections (left) in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 1.6 $ < {| {y}^{{\mathrm {Z}}} |} < $ 2.4 region. The ratios of the predictions to the data are also shown (right). The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties. The first $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ bin (0-1 GeV) is not shown as large differences were observed in MadGraph 5_aMC@NLO and POWHEG predictions at Born level.

png pdf
Additional Figure 20-a:
The measured normalized Born level (before FSR) cross sections in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 1.6 $ < {| {y}^{{\mathrm {Z}}} |} < $ 2.4 region. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties. The first $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ bin (0-1 GeV) is not shown as large differences were observed in MadGraph 5_aMC@NLO and POWHEG predictions at Born level.

png pdf
Additional Figure 20-b:
The ratios of the predictions to the data of the measured normalized Born level (before FSR) cross sections in bins of $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ for the 1.6 $ < {| {y}^{{\mathrm {Z}}} |} < $ 2.4 region. The shaded bands around the data points (black) correspond to the total experimental uncertainty. The measurement is compared to the predictions with MadGraph 5_aMC@NLO (square red markers), POWHEG (green triangles), and POWHEG-MINLO (blue circles). The error bands around the predictions correspond to the combined statistical, PDF, and scale uncertainties. The first $ {p_{\mathrm {T}}} ^{{\mathrm {Z}}}$ bin (0-1 GeV) is not shown as large differences were observed in MadGraph 5_aMC@NLO and POWHEG predictions at Born level.
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