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CMS-FSQ-16-008 ; CERN-EP-2017-249
Measurement of the underlying event activity in inclusive Z boson production in proton-proton collisions at $\sqrt{s} = $ 13 TeV
JHEP 07 (2018) 032
Abstract: This paper presents a measurement of the underlying event activity in proton-proton collisions at a center-of-mass energy of 13 TeV, performed using inclusive Z boson production events collected with the CMS experiment at the LHC. The analyzed data correspond to an integrated luminosity of 2.1 fb$^{-1}$. The underlying event activity is quantified in terms of the charged particle multiplicity, as well as of the scalar sum of the charged particles' transverse momenta in different topological regions defined with respect to the Z boson direction. The distributions are unfolded to the stable particle level and compared with predictions from various Monte Carlo event generators, as well as with similar CDF and CMS measurements at center-of-mass energies of 1.96 and 7 TeV respectively.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Unfolded distributions of particle density (left) and $\Sigma {p_{\mathrm {T}}} $ density (right) in Z events, as a function of ${{p_{\mathrm {T}}} ^{\mu \mu}}$ in the towards ($\Delta \phi < 60^{\circ}$), transverse ($60^{\circ} < \Delta \phi < 120^{\circ}$), and away ($\Delta \phi > 120^{\circ}$) regions. Error bars represent the statistical and systematic uncertainties added in quadrature.

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Figure 1-a:
Unfolded distributions of particle density in Z events, as a function of ${{p_{\mathrm {T}}} ^{\mu \mu}}$ in the towards ($\Delta \phi < 60^{\circ}$), transverse ($60^{\circ} < \Delta \phi < 120^{\circ}$), and away ($\Delta \phi > 120^{\circ}$) regions. Error bars represent the statistical and systematic uncertainties added in quadrature.

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Figure 1-b:
$\Sigma {p_{\mathrm {T}}} $ density in Z events, as a function of ${{p_{\mathrm {T}}} ^{\mu \mu}}$ in the towards ($\Delta \phi < 60^{\circ}$), transverse ($60^{\circ} < \Delta \phi < 120^{\circ}$), and away ($\Delta \phi > 120^{\circ}$) regions. Error bars represent the statistical and systematic uncertainties added in quadrature.

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Figure 2:
Unfolded distributions of particle density (left) and $\Sigma {p_{\mathrm {T}}} $ density (right) in Z events in the away region as a function of ${{p_{\mathrm {T}}} ^{\mu \mu}}$, compared to various models predictions: MadGraph + PYTHIA8, POWHEG + PYTHIA8, and POWHEG + HERWIG++. The bottom panels of each plot show the ratios of the simulations to the measured distributions. The bands in the bottom panels represent the statistical and systematic uncertainties added in quadrature.

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Figure 2-a:
Unfolded distributions of particle density in Z events in the away region as a function of ${{p_{\mathrm {T}}} ^{\mu \mu}}$, compared to various models predictions: MadGraph + PYTHIA8, POWHEG + PYTHIA8, and POWHEG + HERWIG++. The bottom panel shows the ratios of the simulations to the measured distributions. The bands in the bottom panel represent the statistical and systematic uncertainties added in quadrature.

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Figure 2-b:
$\Sigma {p_{\mathrm {T}}} $ density in Z events in the away region as a function of ${{p_{\mathrm {T}}} ^{\mu \mu}}$, compared to various models predictions: MadGraph + PYTHIA8, POWHEG + PYTHIA8, and POWHEG + HERWIG++. The bottom panel shows the ratios of the simulations to the measured distributions. The bands in the bottom panel represent the statistical and systematic uncertainties added in quadrature.

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Figure 3:
Unfolded distributions of particle density (left) and $\Sigma {p_{\mathrm {T}}} $ density (right) in Z events in the transverse region as a function of ${{p_{\mathrm {T}}} ^{\mu \mu}}$, compared to various models predictions: MadGraph + PYTHIA8, POWHEG + PYTHIA8, and POWHEG + HERWIG++. The bottom panels of each plot show the ratios of the simulations to the measured distributions. The bands in the bottom panels represent the statistical and systematic uncertainties added in quadrature.

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Figure 3-a:
Unfolded distribution of particle density in Z events in the transverse region as a function of ${{p_{\mathrm {T}}} ^{\mu \mu}}$, compared to various models predictions: MadGraph + PYTHIA8, POWHEG + PYTHIA8, and POWHEG + HERWIG++. The bottom panel shows the ratios of the simulations to the measured distributions. The bands in the bottom panel represent the statistical and systematic uncertainties added in quadrature.

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Figure 3-b:
Unfolded distribution of $\Sigma {p_{\mathrm {T}}} $ density in Z events in the transverse region as a function of ${{p_{\mathrm {T}}} ^{\mu \mu}}$, compared to various models predictions: MadGraph + PYTHIA8, POWHEG + PYTHIA8, and POWHEG + HERWIG++. The bottom panel shows the ratios of the simulations to the measured distributions. The bands in the bottom panel represent the statistical and systematic uncertainties added in quadrature.

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Figure 4:
Unfolded distributions of particle density (left) and $\Sigma {p_{\mathrm {T}}} $ density (right) in Z events in the towards region as a function of ${{p_{\mathrm {T}}} ^{\mu \mu}}$, compared to various models predictions: MadGraph + PYTHIA8, POWHEG + PYTHIA8, and POWHEG + HERWIG++. The bottom panels of each plot show the ratios of the simulations to the measured distributions. The bands in the bottom panels represent the statistical and systematic uncertainties added in quadrature.

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Figure 4-a:
Unfolded distribution of particle density in Z events in the towards region as a function of ${{p_{\mathrm {T}}} ^{\mu \mu}}$, compared to various models predictions: MadGraph + PYTHIA8, POWHEG + PYTHIA8, and POWHEG + HERWIG++. The bottom panel shows the ratios of the simulations to the measured distributions. The bands in the bottom panel represent the statistical and systematic uncertainties added in quadrature.

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Figure 4-b:
Unfolded distribution $\Sigma {p_{\mathrm {T}}} $ density in Z events in the towards region as a function of ${{p_{\mathrm {T}}} ^{\mu \mu}}$, compared to various models predictions: MadGraph + PYTHIA8, POWHEG + PYTHIA8, and POWHEG + HERWIG++. The bottom panel shows the ratios of the simulations to the measured distributions. The bands in the bottom panel represent the statistical and systematic uncertainties added in quadrature.

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Figure 5:
Comparison of the particle density measured in Z events at $\sqrt {s} = $ 13 TeV with that at 7 (CMS) [3] and 1.96 TeV (CDF) [9] in the towards region as a function of ${{p_{\mathrm {T}}} ^{\mu \mu}}$. The data are also compared with the model predictions of POWHEG + PYTHIA8 and POWHEG + HERWIG++. The bottom panels of each plot show the ratios of the model predictions to the measurements. The bands in the bottom panels represents the statistical and systematic uncertainties added in quadrature.

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Figure 6:
Comparison of the $\Sigma {p_{\mathrm {T}}} $ density measured in Z events at $\sqrt {s} = $ 13 TeV with that at 7 (CMS) [3] and 1.96 TeV (CDF) [9] in the towards region as a function of $ {{p_{\mathrm {T}}} ^{\mu \mu}} $. The data are also compared with the model predictions of POWHEG + PYTHIA8 and POWHEG + HERWIG++. The bottom panels of each plot show the ratios of the model predictions to the measurements. The bands in the bottom panels represent the statistical and systematic uncertainties added in quadrature.

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Figure 7:
Comparison of the particle density measured in Z events at $\sqrt {s} = $ 13 TeV with that at 7 (CMS) [3] and 1.96 TeV (CDF) [9] in the transverse region as a function of $ {{p_{\mathrm {T}}} ^{\mu \mu}} $. The data are also compared with the model predictions of POWHEG + PYTHIA8 and POWHEG + HERWIG++. The bottom panels of each plot show the ratios of model predictions to the measurements. The bands in the bottom panels represent the statistical and systematic uncertainties added in quadrature.

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Figure 8:
Comparison of the $\Sigma {p_{\mathrm {T}}} $ density measured in Z events at $\sqrt {s} = $ 13 TeV with that at 7 (CMS) [3] and 1.96 TeV (CDF) [9] in the transverse region as a function of $ {{p_{\mathrm {T}}} ^{\mu \mu}} $. The data are also compared with the predictions of POWHEG + PYTHIA8 and POWHEG + HERWIG++. The bottom panels of each plot show the ratios of the model predictions to the measurements. The bands in the bottom panels represent the statistical and systematic uncertainties added in quadrature.

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Figure 9:
Comparison of the increase in UE activity in Z events, from $\sqrt {s} = $ 1.96 TeV (CDF) [9] to 7 TeV (CMS) [3], with that from $\sqrt {s} = $ 7 TeV (CMS) to 13 TeV (CMS) in the towards (top) and transverse (bottom) regions. Panels on the left show the particle density, whereas panels on the right show the $\Sigma {p_{\mathrm {T}}} $ density as a function of $ {{p_{\mathrm {T}}} ^{\mu \mu}} $. The data distributions are also compared with predictions of POWHEG + PYTHIA8 and POWHEG + HERWIG++. The error bars represent the statistical and systematic uncertainties added in quadrature.

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Figure 9-a:
Comparison of the increase in UE activity in Z events, from $\sqrt {s} = $ 1.96 TeV (CDF) [9] to 7 TeV (CMS) [3], with that from $\sqrt {s} = $ 7 TeV (CMS) to 13 TeV (CMS) in the towards region: particle density as a function of $ {{p_{\mathrm {T}}} ^{\mu \mu}} $. The data distribution is also compared with predictions of POWHEG + PYTHIA8 and POWHEG + HERWIG++. The error bars represent the statistical and systematic uncertainties added in quadrature.

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Figure 9-b:
Comparison of the increase in UE activity in Z events, from $\sqrt {s} = $ 1.96 TeV (CDF) [9] to 7 TeV (CMS) [3], with that from $\sqrt {s} = $ 7 TeV (CMS) to 13 TeV (CMS) in the towards region: $\Sigma {p_{\mathrm {T}}} $ density as a function of $ {{p_{\mathrm {T}}} ^{\mu \mu}} $. The data distribution is also compared with predictions of POWHEG + PYTHIA8 and POWHEG + HERWIG++. The error bars represent the statistical and systematic uncertainties added in quadrature.

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Figure 9-c:
Comparison of the increase in UE activity in Z events, from $\sqrt {s} = $ 1.96 TeV (CDF) [9] to 7 TeV (CMS) [3], with that from $\sqrt {s} = $ 7 TeV (CMS) to 13 TeV (CMS) in the transverse region: particle density density as a function of $ {{p_{\mathrm {T}}} ^{\mu \mu}} $. The data distribution is also compared with predictions of POWHEG + PYTHIA8 and POWHEG + HERWIG++. The error bars represent the statistical and systematic uncertainties added in quadrature.

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Figure 9-d:
Comparison of the increase in UE activity in Z events, from $\sqrt {s} = $ 1.96 TeV (CDF) [9] to 7 TeV (CMS) [3], with that from $\sqrt {s} = $ 7 TeV (CMS) to 13 TeV (CMS) in the transverse region: $\Sigma {p_{\mathrm {T}}} $ density as a function of $ {{p_{\mathrm {T}}} ^{\mu \mu}} $. The data distribution is also compared with predictions of POWHEG + PYTHIA8 and POWHEG + HERWIG++. The error bars represent the statistical and systematic uncertainties added in quadrature.

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Figure 10:
Average particle density (left) and average $\Sigma {p_{\mathrm {T}}} $ density (right) for Z events with $ {{p_{\mathrm {T}}} ^{\mu \mu}} < $ 5 GeV as a function of the center-of-mass energy, measured by CMS and CDF [9] in the combined towards + transverse regions, compared to predictions from POWHEG + PYTHIA8, POWHEG + HERWIG++, and POWHEG + PYTHIA8 without MPI. The error bars represent the statistical and systematic uncertainties added in quadrature.

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Figure 10-a:
Average particle density for Z events with $ {{p_{\mathrm {T}}} ^{\mu \mu}} < $ 5 GeV as a function of the center-of-mass energy, measured by CMS and CDF [9] in the combined towards + transverse regions, compared to predictions from POWHEG + PYTHIA8, POWHEG + HERWIG++, and POWHEG + PYTHIA8 without MPI. The error bars represent the statistical and systematic uncertainties added in quadrature.

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Figure 10-b:
Average $\Sigma {p_{\mathrm {T}}} $ density for Z events with $ {{p_{\mathrm {T}}} ^{\mu \mu}} < $ 5 GeV as a function of the center-of-mass energy, measured by CMS and CDF [9] in the combined towards + transverse regions, compared to predictions from POWHEG + PYTHIA8, POWHEG + HERWIG++, and POWHEG + PYTHIA8 without MPI. The error bars represent the statistical and systematic uncertainties added in quadrature.
Tables

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Table 1:
Summary of the systematic uncertainties in the particle and $\Sigma {p_{\mathrm {T}}} $ densities.
Summary
This paper presents a measurement of the underlying event (UE) activity using inclusive Z boson production events in proton-proton collisions at a center-of-mass energy of 13 TeV. The data correspond to an integrated luminosity of 2.1 fb$^{-1}$. The UE activity, quantified in terms of charged particle and $\Sigma {p_{\mathrm{T}}}$ densities, is measured as a function of the ${p_{\mathrm{T}}}$ of the muon pair from the Z boson decay. The distributions are corrected for detector effects and compared to various model predictions. The MadGraph and POWHEG generators, with parton showering and hadronization modeled with PYTHIA{8} using the CUET8PM1 tune, reproduce the measurements within 5%. The combination of POWHEG and HERWIG{++} (tune EE5C) overestimates the measurements by 10-15%. The present results are also compared with previous measurements at 1.96 and 7 TeV. The UE activity almost doubles as the collision energy increases from 1.96 to 13 TeV. Monte Carlo event generators provide a reasonable description of the evolution of the UE activity as the collision energy rises from 1.96 to 13 TeV, although they tend to underestimate its increase in the 1.96-7 TeV range. The overall good description of the UE activity in Z boson events by Monte Carlo generators previously tuned to minimum-bias and leading track/jet UE measurements, confirms the universality of the physical processes producing the underlying event in pp collisions at high energies.
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