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CMS-TOP-16-014 ; CERN-EP-2018-013
Measurements of differential cross sections of top quark pair production as a function of kinematic event variables in proton-proton collisions at $ \sqrt{s}= $ 13 TeV
JHEP 06 (2018) 002
Abstract: Measurements of differential $ \mathrm{t\bar{t}} $ production cross sections are presented in the single-lepton decay channel, as a function of a number of kinematic event variables. The measurements are performed with proton-proton collision data at $ \sqrt{s}= $ 13 TeV , collected by the CMS experiment at the LHC during 2016, with an integrated luminosity of 35.9 fb$^{-1}$. The data are compared to a variety of state-of-the-art leading-order and next-to-leading-order $ \mathrm{t\bar{t}} $ simulations.
Figures & Tables Summary Additional Tables References CMS Publications
Figures

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Figure 1:
The distributions of $ {N_{\text {jets}}} $, $ {H_{\mathrm {T}}} $ and $ {S_{\text {T}}} $ after full event selection. The $ {{\mathrm {t}\overline {\mathrm {t}}}} $ simulation is normalized to the NNLO prediction. The ratio of the number of events in data to that in simulation is shown below each of the distributions, with the statistical uncertainty in the data shown by the vertical uncertainty bars. The statistical uncertainty in the number of simulation events and the uncertainties in the modeling in simulation are shown by the hatched band.

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Figure 1-a:
The distributions of $ {N_{\text {jets}}} $ after full event selection. The $ {{\mathrm {t}\overline {\mathrm {t}}}} $ simulation is normalized to the NNLO prediction. The ratio of the number of events in data to that in simulation is shown below the distribution, with the statistical uncertainty in the data shown by the vertical uncertainty bars. The statistical uncertainty in the number of simulation events and the uncertainties in the modeling in simulation are shown by the hatched band.

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Figure 1-b:
The distributions of $ {H_{\mathrm {T}}} $ after full event selection. The $ {{\mathrm {t}\overline {\mathrm {t}}}} $ simulation is normalized to the NNLO prediction. The ratio of the number of events in data to that in simulation is shown below the distribution, with the statistical uncertainty in the data shown by the vertical uncertainty bars. The statistical uncertainty in the number of simulation events and the uncertainties in the modeling in simulation are shown by the hatched band.

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Figure 1-c:
The distributions of $ {S_{\text {T}}} $ after full event selection. The $ {{\mathrm {t}\overline {\mathrm {t}}}} $ simulation is normalized to the NNLO prediction. The ratio of the number of events in data to that in simulation is shown below the distribution, with the statistical uncertainty in the data shown by the vertical uncertainty bars. The statistical uncertainty in the number of simulation events and the uncertainties in the modeling in simulation are shown by the hatched band.

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Figure 2:
The distributions of $ {{p_{\mathrm {T}}} ^\text {miss}} $, $ {p_{\text {T}}^{{\mathrm {W}}}} $, $ {p_{\text {T}}^{\ell}} $ and $ < \eta ^{\ell} > $ after full event selection. The $ {{\mathrm {t}\overline {\mathrm {t}}}} $ simulation is normalized to the NNLO prediction. The ratio of the number of events in data to that in simulation is shown below each of the distributions, with the statistical uncertainty in the data shown by the vertical uncertainty bars. The statistical uncertainty in the number of simulation events and the uncertainties in modeling in simulation are shown by the hatched band.

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Figure 2-a:
The distributions of $ {{p_{\mathrm {T}}} ^\text {miss}} $ after full event selection. The $ {{\mathrm {t}\overline {\mathrm {t}}}} $ simulation is normalized to the NNLO prediction. The ratio of the number of events in data to that in simulation is shown below the distribution, with the statistical uncertainty in the data shown by the vertical uncertainty bars. The statistical uncertainty in the number of simulation events and the uncertainties in modeling in simulation are shown by the hatched band.

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Figure 2-b:
The distributions of $ {p_{\text {T}}^{{\mathrm {W}}}} $ after full event selection. The $ {{\mathrm {t}\overline {\mathrm {t}}}} $ simulation is normalized to the NNLO prediction. The ratio of the number of events in data to that in simulation is shown below the distribution, with the statistical uncertainty in the data shown by the vertical uncertainty bars. The statistical uncertainty in the number of simulation events and the uncertainties in modeling in simulation are shown by the hatched band.

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Figure 2-c:
The distributions of $ {p_{\text {T}}^{\ell}} $ after full event selection. The $ {{\mathrm {t}\overline {\mathrm {t}}}} $ simulation is normalized to the NNLO prediction. The ratio of the number of events in data to that in simulation is shown below the distribution, with the statistical uncertainty in the data shown by the vertical uncertainty bars. The statistical uncertainty in the number of simulation events and the uncertainties in modeling in simulation are shown by the hatched band.

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Figure 2-d:
The distributions of $ < \eta ^{\ell} > $ after full event selection. The $ {{\mathrm {t}\overline {\mathrm {t}}}} $ simulation is normalized to the NNLO prediction. The ratio of the number of events in data to that in simulation is shown below the distribution, with the statistical uncertainty in the data shown by the vertical uncertainty bars. The statistical uncertainty in the number of simulation events and the uncertainties in modeling in simulation are shown by the hatched band.

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Figure 3:
Normalized $ {N_{\text {jets}}} $ differential $ {{\mathrm {t}\overline {\mathrm {t}}}} $ cross sections, compared to different $ {{\mathrm {t}\overline {\mathrm {t}}}} $ simulations in the left plots, and compared to the POWHEG+PYTHIA simulation after varying the shower scales, and $ {h_{\text {damp}}} $ parameter, within their uncertainties, in the right plots. The vertical bars on the data represent the statistical and systematic uncertainties added in quadrature. The bottom panels show the ratio of the predictions to the data.

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Figure 3-a:
Normalized $ {N_{\text {jets}}} $ differential $ {{\mathrm {t}\overline {\mathrm {t}}}} $ cross sections, compared to different $ {{\mathrm {t}\overline {\mathrm {t}}}} $ simulations. The vertical bars on the data represent the statistical and systematic uncertainties added in quadrature. The bottom panel shows the ratio of the predictions to the data.

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Figure 3-b:
Normalized $ {N_{\text {jets}}} $ differential $ {{\mathrm {t}\overline {\mathrm {t}}}} $ cross sections, compared to the POWHEG+PYTHIA simulation after varying the shower scales, and $ {h_{\text {damp}}} $ parameter, within their uncertainties. The vertical bars on the data represent the statistical and systematic uncertainties added in quadrature. The bottom panel shows the ratio of the predictions to the data.

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Figure 4:
Normalized $ {H_{\mathrm {T}}} $ (upper) and $ {S_{\text {T}}} $ (lower) differential $ {{\mathrm {t}\overline {\mathrm {t}}}} $ cross sections, compared to different $ {{\mathrm {t}\overline {\mathrm {t}}}} $ simulations in the left plots, and compared to the POWHEG+PYTHIA simulation after varying the shower scales, and $ {h_{\text {damp}}} $ parameter, within their uncertainties, in the right plots. The vertical bars on the data represent the statistical and systematic uncertainties added in quadrature. The bottom panels show the ratio of the predictions to the data.

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Figure 4-a:
Normalized $ {H_{\mathrm {T}}} $ differential $ {{\mathrm {t}\overline {\mathrm {t}}}} $ cross section, compared to different $ {{\mathrm {t}\overline {\mathrm {t}}}} $ simulations. The vertical bars on the data represent the statistical and systematic uncertainties added in quadrature. The bottom panel shows the ratio of the predictions to the data.

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Figure 4-b:
Normalized $ {H_{\mathrm {T}}} $ differential $ {{\mathrm {t}\overline {\mathrm {t}}}} $ cross section, compared to the POWHEG+PYTHIA simulation after varying the shower scales, and $ {h_{\text {damp}}} $ parameter, within their uncertainties. The vertical bars on the data represent the statistical and systematic uncertainties added in quadrature. The bottom panel shows the ratio of the predictions to the data.

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Figure 4-c:
Normalized $ {S_{\text {T}}} $ differential $ {{\mathrm {t}\overline {\mathrm {t}}}} $ cross section, compared to different $ {{\mathrm {t}\overline {\mathrm {t}}}} $ simulations. The vertical bars on the data represent the statistical and systematic uncertainties added in quadrature. The bottom panel shows the ratio of the predictions to the data.

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Figure 4-d:
Normalized $ {S_{\text {T}}} $ differential $ {{\mathrm {t}\overline {\mathrm {t}}}} $ cross section, compared to the POWHEG+PYTHIA simulation after varying the shower scales, and $ {h_{\text {damp}}} $ parameter, within their uncertainties. The vertical bars on the data represent the statistical and systematic uncertainties added in quadrature. The bottom panel shows the ratio of the predictions to the data.

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Figure 5:
Normalized $ {{p_{\mathrm {T}}} ^\text {miss}} $ (upper) and $ {p_{\text {T}}^{{\mathrm {W}}}} $ (lower) differential $ {{\mathrm {t}\overline {\mathrm {t}}}} $ cross sections, compared to different $ {{\mathrm {t}\overline {\mathrm {t}}}} $ simulations in the left plots, and compared to the POWHEG+PYTHIA simulation after varying the shower scales, and $ {h_{\text {damp}}} $ parameter, within their uncertainties, in the right plots. The vertical bars on the data represent the statistical and systematic uncertainties added in quadrature. The bottom panels show the ratio of the predictions to the data.

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Figure 5-a:
Normalized $ {{p_{\mathrm {T}}} ^\text {miss}} $ differential $ {{\mathrm {t}\overline {\mathrm {t}}}} $ cross section, compared to different $ {{\mathrm {t}\overline {\mathrm {t}}}} $ simulations. The vertical bars on the data represent the statistical and systematic uncertainties added in quadrature. The bottom panel shows the ratio of the predictions to the data.

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Figure 5-b:
Normalized $ {{p_{\mathrm {T}}} ^\text {miss}} $ differential $ {{\mathrm {t}\overline {\mathrm {t}}}} $ cross section, compared to the POWHEG+PYTHIA simulation after varying the shower scales, and $ {h_{\text {damp}}} $ parameter, within their uncertainties. The vertical bars on the data represent the statistical and systematic uncertainties added in quadrature. The bottom panel shows the ratio of the predictions to the data.

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Figure 5-c:
Normalized $ {p_{\text {T}}^{{\mathrm {W}}}} $ differential $ {{\mathrm {t}\overline {\mathrm {t}}}} $ cross section, compared to different $ {{\mathrm {t}\overline {\mathrm {t}}}} $ simulations. The vertical bars on the data represent the statistical and systematic uncertainties added in quadrature. The bottom panel shows the ratio of the predictions to the data.

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Figure 5-d:
Normalized $ {p_{\text {T}}^{{\mathrm {W}}}} $ differential $ {{\mathrm {t}\overline {\mathrm {t}}}} $ cross section, compared to the POWHEG+PYTHIA simulation after varying the shower scales, and $ {h_{\text {damp}}} $ parameter, within their uncertainties. The vertical bars on the data represent the statistical and systematic uncertainties added in quadrature. The bottom panel shows the ratio of the predictions to the data.

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Figure 6:
Normalized $ {p_{\text {T}}^{\ell}} $ (upper) and $ < \eta ^{\ell} > $ (lower) differential $ {{\mathrm {t}\overline {\mathrm {t}}}} $ cross sections, compared to different $ {{\mathrm {t}\overline {\mathrm {t}}}} $ simulations in the left plots, and compared to the POWHEG+PYTHIA simulation after varying the shower scales, and $ {h_{\text {damp}}} $ parameter, within their uncertainties, in the right plots. The vertical bars on the data represent the statistical and systematic uncertainties added in quadrature. The bottom panels show the ratio of the predictions to the data.

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Figure 6-a:
Normalized $ {p_{\text {T}}^{\ell}} $ differential $ {{\mathrm {t}\overline {\mathrm {t}}}} $ cross section, compared to different $ {{\mathrm {t}\overline {\mathrm {t}}}} $ simulations. The vertical bars on the data represent the statistical and systematic uncertainties added in quadrature. The bottom panel shows the ratio of the predictions to the data.

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Figure 6-b:
Normalized $ {p_{\text {T}}^{\ell}} $ differential $ {{\mathrm {t}\overline {\mathrm {t}}}} $ cross section, compared to the POWHEG+PYTHIA simulation after varying the shower scales, and $ {h_{\text {damp}}} $ parameter, within their uncertainties. The vertical bars on the data represent the statistical and systematic uncertainties added in quadrature. The bottom panel shows the ratio of the predictions to the data.

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Figure 6-c:
Normalized $ < \eta ^{\ell} > $ differential $ {{\mathrm {t}\overline {\mathrm {t}}}} $ cross section, compared to different $ {{\mathrm {t}\overline {\mathrm {t}}}} $ simulations. The vertical bars on the data represent the statistical and systematic uncertainties added in quadrature. The bottom panel shows the ratio of the predictions to the data.

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Figure 6-d:
Normalized $ < \eta ^{\ell} > $ differential $ {{\mathrm {t}\overline {\mathrm {t}}}} $ cross section, compared to the POWHEG+PYTHIA simulation after varying the shower scales, and $ {h_{\text {damp}}} $ parameter, within their uncertainties. The vertical bars on the data represent the statistical and systematic uncertainties added in quadrature. The bottom panel shows the ratio of the predictions to the data.

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Figure 7:
Absolute $ {N_{\text {jets}}} $ differential $ {{\mathrm {t}\overline {\mathrm {t}}}} $ cross sections, compared to different $ {{\mathrm {t}\overline {\mathrm {t}}}} $ simulations in the left plots, and compared to the POWHEG+PYTHIA simulation after varying the shower scales, and $ {h_{\text {damp}}} $ parameter, within their uncertainties, in the right plots. The vertical bars on the data represent the statistical and systematic uncertainties added in quadrature. The bottom panels show the ratio of the predictions to the data.

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Figure 7-a:
Absolute $ {N_{\text {jets}}} $ differential $ {{\mathrm {t}\overline {\mathrm {t}}}} $ cross sections, compared to different $ {{\mathrm {t}\overline {\mathrm {t}}}} $ simulations. The vertical bars on the data represent the statistical and systematic uncertainties added in quadrature. The bottom panel shows the ratio of the predictions to the data.

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Figure 7-b:
Absolute $ {N_{\text {jets}}} $ differential $ {{\mathrm {t}\overline {\mathrm {t}}}} $ cross sections, compared to the POWHEG+PYTHIA simulation after varying the shower scales, and $ {h_{\text {damp}}} $ parameter, within their uncertainties. The vertical bars on the data represent the statistical and systematic uncertainties added in quadrature. The bottom panel shows the ratio of the predictions to the data.

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Figure 8:
Absolute $ {H_{\mathrm {T}}} $ (upper) and $ {S_{\text {T}}} $ (lower) differential $ {{\mathrm {t}\overline {\mathrm {t}}}} $ cross sections, compared to different $ {{\mathrm {t}\overline {\mathrm {t}}}} $ simulations in the left plots, and compared to the POWHEG+PYTHIA simulation after varying the shower scales, and $ {h_{\text {damp}}} $ parameter, within their uncertainties, in the right plots. The vertical bars on the data represent the statistical and systematic uncertainties added in quadrature. The bottom panels show the ratio of the predictions to the data.

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Figure 8-a:
Absolute $ {H_{\mathrm {T}}} $ differential $ {{\mathrm {t}\overline {\mathrm {t}}}} $ cross section, compared to different $ {{\mathrm {t}\overline {\mathrm {t}}}} $ simulations. The vertical bars on the data represent the statistical and systematic uncertainties added in quadrature. The bottom panel shows the ratio of the predictions to the data.

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Figure 8-b:
Absolute $ {H_{\mathrm {T}}} $ differential $ {{\mathrm {t}\overline {\mathrm {t}}}} $ cross section, compared to the POWHEG+PYTHIA simulation after varying the shower scales, and $ {h_{\text {damp}}} $ parameter, within their uncertainties. The vertical bars on the data represent the statistical and systematic uncertainties added in quadrature. The bottom panel shows the ratio of the predictions to the data.

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Figure 8-c:
Absolute $ {S_{\text {T}}} $ differential $ {{\mathrm {t}\overline {\mathrm {t}}}} $ cross section, compared to different $ {{\mathrm {t}\overline {\mathrm {t}}}} $ simulations. The vertical bars on the data represent the statistical and systematic uncertainties added in quadrature. The bottom panel shows the ratio of the predictions to the data.

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Figure 8-d:
Absolute $ {S_{\text {T}}} $ differential $ {{\mathrm {t}\overline {\mathrm {t}}}} $ cross section, compared to the POWHEG+PYTHIA simulation after varying the shower scales, and $ {h_{\text {damp}}} $ parameter, within their uncertainties. The vertical bars on the data represent the statistical and systematic uncertainties added in quadrature. The bottom panel shows the ratio of the predictions to the data.

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Figure 9:
Absolute $ {{p_{\mathrm {T}}} ^\text {miss}} $ (upper) and $ {p_{\text {T}}^{{\mathrm {W}}}} $ (lower) differential $ {{\mathrm {t}\overline {\mathrm {t}}}} $ cross sections, compared to different $ {{\mathrm {t}\overline {\mathrm {t}}}} $ simulations in the left plots, and compared to the POWHEG+PYTHIA simulation after varying the shower scales, and $ {h_{\text {damp}}} $ parameter, within their uncertainties, in the right plots. The vertical bars on the data represent the statistical and systematic uncertainties added in quadrature. The bottom panels show the ratio of the predictions to the data.

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Figure 9-a:
Absolute $ {{p_{\mathrm {T}}} ^\text {miss}} $ differential $ {{\mathrm {t}\overline {\mathrm {t}}}} $ cross section, compared to different $ {{\mathrm {t}\overline {\mathrm {t}}}} $ simulations. The vertical bars on the data represent the statistical and systematic uncertainties added in quadrature. The bottom panel shows the ratio of the predictions to the data.

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Figure 9-b:
Absolute $ {{p_{\mathrm {T}}} ^\text {miss}} $ differential $ {{\mathrm {t}\overline {\mathrm {t}}}} $ cross section, compared to the POWHEG+PYTHIA simulation after varying the shower scales, and $ {h_{\text {damp}}} $ parameter, within their uncertainties. The vertical bars on the data represent the statistical and systematic uncertainties added in quadrature. The bottom panel shows the ratio of the predictions to the data.

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Figure 9-c:
Absolute $ {p_{\text {T}}^{{\mathrm {W}}}} $ differential $ {{\mathrm {t}\overline {\mathrm {t}}}} $ cross section, compared to different $ {{\mathrm {t}\overline {\mathrm {t}}}} $ simulations. The vertical bars on the data represent the statistical and systematic uncertainties added in quadrature. The bottom panel shows the ratio of the predictions to the data.

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Figure 9-d:
Absolute $ {p_{\text {T}}^{{\mathrm {W}}}} $ differential $ {{\mathrm {t}\overline {\mathrm {t}}}} $ cross section, compared to the POWHEG+PYTHIA simulation after varying the shower scales, and $ {h_{\text {damp}}} $ parameter, within their uncertainties. The vertical bars on the data represent the statistical and systematic uncertainties added in quadrature. The bottom panel shows the ratio of the predictions to the data.

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Figure 10:
Absolute $ {p_{\text {T}}^{\ell}} $ (upper) and $ < \eta ^{\ell} > $ (lower) differential $ {{\mathrm {t}\overline {\mathrm {t}}}} $ cross sections, compared to different $ {{\mathrm {t}\overline {\mathrm {t}}}} $ simulations in the left plots, and compared to the POWHEG+PYTHIA simulation after varying the shower scales, and $ {h_{\text {damp}}} $ parameter, within their uncertainties, in the right plots. The vertical bars on the data represent the statistical and systematic uncertainties added in quadrature. The bottom panels show the ratio of the predictions to the data.

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Figure 10-a:
Absolute $ {p_{\text {T}}^{\ell}} $ differential $ {{\mathrm {t}\overline {\mathrm {t}}}} $ cross section, compared to different $ {{\mathrm {t}\overline {\mathrm {t}}}} $ simulations. The vertical bars on the data represent the statistical and systematic uncertainties added in quadrature. The bottom panel shows the ratio of the predictions to the data.

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Figure 10-b:
Absolute $ {p_{\text {T}}^{\ell}} $ differential $ {{\mathrm {t}\overline {\mathrm {t}}}} $ cross section, compared to the POWHEG+PYTHIA simulation after varying the shower scales, and $ {h_{\text {damp}}} $ parameter, within their uncertainties. The vertical bars on the data represent the statistical and systematic uncertainties added in quadrature. The bottom panel shows the ratio of the predictions to the data.

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Figure 10-c:
Absolute $ < \eta ^{\ell} > $ differential $ {{\mathrm {t}\overline {\mathrm {t}}}} $ cross section, compared to different $ {{\mathrm {t}\overline {\mathrm {t}}}} $ simulations. The vertical bars on the data represent the statistical and systematic uncertainties added in quadrature. The bottom panel shows the ratio of the predictions to the data.

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Figure 10-d:
Absolute $$ < \eta ^{\ell} > $ differential $ {{\mathrm {t}\overline {\mathrm {t}}}} $ cross section, compared to the POWHEG+PYTHIA simulation after varying the shower scales, and $ {h_{\text {damp}}} $ parameter, within their uncertainties. The vertical bars on the data represent the statistical and systematic uncertainties added in quadrature. The bottom panel shows the ratio of the predictions to the data.
Tables

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Table 1:
The upper and lower bounds, in%, from each source of systematic uncertainty in the normalized differential cross section, over all bins of the measurement for each variable. The bounds of the total relative uncertainty are also shown.

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Table 2:
Results of a goodness-of-fit test between the normalized cross sections in data and several models, with values given as $ {\chi ^2} $/number of degrees of freedom (ndf)

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Table 3:
Results of a goodness-of-fit test between the absolute cross sections in data and several models, with values given as $ {\chi ^2} $/number of degrees of freedom (ndf)

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Table 4:
Results of the normalized differential cross sections with relative uncertainties in the combined channel with respect to $ {N_{\text {jets}}} $.

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Table 5:
Results of the normalized differential cross sections with relative uncertainties in the combined channel with respect to $ {H_{\mathrm {T}}} $.

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Table 6:
Results of the normalized differential cross sections with relative uncertainties in the combined channel with respect to $ {S_{\text {T}}} $.

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Table 7:
Results of the normalized differential cross sections with relative uncertainties in the combined channel with respect to $ {{p_{\mathrm {T}}} ^\text {miss}} $.

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Table 8:
Results of the normalized differential cross sections with relative uncertainties in the combined channel with respect to $ {p_{\text {T}}^{{\mathrm {W}}}} $.

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Table 9:
Results of the normalized differential cross sections with relative uncertainties in the combined channel with respect to $ {p_{\text {T}}^{\ell}} $.

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Table 10:
Results of the normalized differential cross sections with relative uncertainties in the combined channel with respect to $ < \eta ^{\ell} > $.

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Table 11:
Results of the absolute differential cross sections with relative uncertainties in the combined channel with respect to $ {N_{\text {jets}}} $.

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Table 12:
Results of the absolute differential cross sections with relative uncertainties in the combined channel with respect to $ {H_{\mathrm {T}}} $.

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Table 13:
Results of the absolute differential cross sections with relative uncertainties in the combined channel with respect to $ {S_{\text {T}}} $.

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Table 14:
Results of the absolute differential cross sections with relative uncertainties in the combined channel with respect to $ {{p_{\mathrm {T}}} ^\text {miss}} $.

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Table 15:
Results of the absolute differential cross sections with relative uncertainties in the combined channel with respect to $ {p_{\text {T}}^{{\mathrm {W}}}} $.

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Table 16:
Results of the absolute differential cross sections with relative uncertainties in the combined channel with respect to $ {p_{\text {T}}^{\ell}} $.

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Table 17:
Results of the absolute differential cross sections with relative uncertainties in the combined channel with respect to $ < \eta ^{\ell} > $.

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Table 18:
The upper and lower bounds, in%, from each source of systematic uncertainty in the absolute differential cross section, over all bins of the measurement for each variable. The bounds of the total relative uncertainty are also shown.
Summary
Normalized and absolute differential $ \mathrm{t\bar{t}} $ production cross sections with respect to several kinematic event variables are measured at the particle level in a visible phase space region. The results are based on proton-proton collision data at $ \sqrt{s}= $ 13 TeV , collected by the CMS experiment with an integrated luminosity of 35.9 fb$^{-1}$. The total cross section is observed to be consistent with previous results and next-to-next-to-leading-order calculations, and the differential measurements are compared to several $ \mathrm{t\bar{t}} $ production models: POWHEG+PYTHIA , POWHEG+HERWIG++ , mg5_amc@nlo-lo , and mg5_amc@nlo-nlo.

The POWHEG+PYTHIA simulation is found to be generally consistent with the data, with residual differences covered by theoretical uncertainties. The jet multiplicity distribution is particularly well-modeled, having been tuned on LHC 8 TeV data. The POWHEG+HERWIG++ and mg5_amc@nlo-nlo models are shown to be consistent with data for most kinematic event variables, while the mg5_amc@nlo-lo model does not provide an accurate description of any variable measured in the data.

It is expected that the results presented here will be useful for tuning $ \mathrm{t\bar{t}} $ generators and models in the future. To facilitate this, the measurements presented here have been implemented in the RIVET framework and will be available to the wider community.
Additional Tables

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Additional Table 1:
Results of the normalized unregularized differential cross sections with relative uncertainties in the combined channel with respect to $ {N_{\text {jets}}} $.

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Additional Table 2:
Results of the normalized unregularized differential cross sections with relative uncertainties in the combined channel with respect to $ {H_{\mathrm {T}}} $.

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Additional Table 3:
Results of the normalized unregularized differential cross sections with relative uncertainties in the combined channel with respect to $ {S_{\text {T}}} $.

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Additional Table 4:
Results of the normalized unregularized differential cross sections with relative uncertainties in the combined channel with respect to $ {{p_{\mathrm {T}}} ^\text {miss}} $.

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Additional Table 5:
Results of the normalized unregularized differential cross sections with relative uncertainties in the combined channel with respect to $ {p_{\text {T}}^{{\mathrm {W}}} } $.

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Additional Table 6:
Results of the normalized unregularized differential cross sections with relative uncertainties in the combined channel with respect to $ {p_{\text {T}}^{\ell}} $.

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Additional Table 7:
Results of the normalized unregularized differential cross sections with relative uncertainties in the combined channel with respect to $ | \eta ^{\ell} | $.

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Additional Table 8:
Results of the absolute unregularized differential cross sections with relative uncertainties in the combined channel with respect to $ {N_{\text {jets}}} $.

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Additional Table 9:
Results of the absolute unregularized differential cross sections with relative uncertainties in the combined channel with respect to $ {H_{\mathrm {T}}} $.

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Additional Table 10:
Results of the absolute unregularized differential cross sections with relative uncertainties in the combined channel with respect to $ {S_{\text {T}}} $.

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Additional Table 11:
Results of the absolute unregularized differential cross sections with relative uncertainties in the combined channel with respect to $ {{p_{\mathrm {T}}} ^\text {miss}} $.

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Additional Table 12:
Results of the absolute unregularized differential cross sections with relative uncertainties in the combined channel with respect to $ {p_{\text {T}}^{{\mathrm {W}}} } $.

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Additional Table 13:
Results of the absolute unregularized differential cross sections with relative uncertainties in the combined channel with respect to $ {p_{\text {T}}^{\ell}} $.

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Additional Table 14:
Results of the absolute unregularized differential cross sections with relative uncertainties in the combined channel with respect to $ | \eta ^{\ell} | $.

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Additional Table 15:
Covariances with theoretical model uncertainties for the regularized normalised differential cross sections in the combined channel with respect to $ {N_{\text {jets}}} $.

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Additional Table 16:
Covariances with theoretical model uncertainties for the regularized normalised differential cross sections in the combined channel with respect to $ {H_{\mathrm {T}}} $.

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Additional Table 17:
Covariances with theoretical model uncertainties for the regularized normalised differential cross sections in the combined channel with respect to $ {S_{\text {T}}} $.

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Additional Table 18:
Covariances with theoretical model uncertainties for the regularized normalised differential cross sections in the combined channel with respect to $ {{p_{\mathrm {T}}} ^\text {miss}} $.

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Additional Table 19:
Covariances with theoretical model uncertainties for the regularized normalised differential cross sections in the combined channel with respect to $ {p_{\text {T}}^{{\mathrm {W}}} } $.

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Additional Table 20:
Covariances with theoretical model uncertainties for the regularized normalised differential cross sections in the combined channel with respect to $ {p_{\text {T}}^{\ell}} $.

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Additional Table 21:
Covariances with theoretical model uncertainties for the regularized normalised differential cross sections in the combined channel with respect to $ | \eta ^{\ell} | $.

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Additional Table 22:
Covariances without theoretical model uncertainties for the regularized normalised differential cross sections in the combined channel with respect to $ {N_{\text {jets}}} $.

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Additional Table 23:
Covariances without theoretical model uncertainties for the regularized normalised differential cross sections in the combined channel with respect to $ {H_{\mathrm {T}}} $.

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Additional Table 24:
Covariances without theoretical model uncertainties for the regularized normalised differential cross sections in the combined channel with respect to $ {S_{\text {T}}} $.

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Additional Table 25:
Covariances without theoretical model uncertainties for the regularized normalised differential cross sections in the combined channel with respect to $ {{p_{\mathrm {T}}} ^\text {miss}} $.

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Additional Table 26:
Covariances without theoretical model uncertainties for the regularized normalised differential cross sections in the combined channel with respect to $ {p_{\text {T}}^{{\mathrm {W}}} } $.

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Additional Table 27:
Covariances without theoretical model uncertainties for the regularized normalised differential cross sections in the combined channel with respect to $ {p_{\text {T}}^{\ell}} $.

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Additional Table 28:
Covariances without theoretical model uncertainties for the regularized normalised differential cross sections in the combined channel with respect to $ | \eta ^{\ell} | $.

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Additional Table 29:
Covariances with theoretical model uncertainties for the regularized normalised differential cross sections in the combined channel with respect to $ {N_{\text {jets}}} $.

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Additional Table 30:
Covariances with theoretical model uncertainties for the regularized normalised differential cross sections in the combined channel with respect to $ {H_{\mathrm {T}}} $.

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Additional Table 31:
Covariances with theoretical model uncertainties for the regularized normalised differential cross sections in the combined channel with respect to $ {S_{\text {T}}} $.

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Additional Table 32:
Covariances with theoretical model uncertainties for the regularized normalised differential cross sections in the combined channel with respect to $ {{p_{\mathrm {T}}} ^\text {miss}} $.

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Additional Table 33:
Covariances with theoretical model uncertainties for the regularized normalised differential cross sections in the combined channel with respect to $ {p_{\text {T}}^{{\mathrm {W}}} } $.

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Additional Table 34:
Covariances with theoretical model uncertainties for the regularized normalised differential cross sections in the combined channel with respect to $ {p_{\text {T}}^{\ell}} $.

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Additional Table 35:
Covariances with theoretical model uncertainties for the regularized normalised differential cross sections in the combined channel with respect to $ | \eta ^{\ell} | $.

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Additional Table 36:
Covariances without theoretical model uncertainties for the regularized absolute differential cross sections in the combined channel with respect to $ {N_{\text {jets}}} $.

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Additional Table 37:
Covariances without theoretical model uncertainties for the regularized absolute differential cross sections in the combined channel with respect to $ {H_{\mathrm {T}}} $.

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Additional Table 38:
Covariances without theoretical model uncertainties for the regularized absolute differential cross sections in the combined channel with respect to $ {S_{\text {T}}} $.

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Additional Table 39:
Covariances without theoretical model uncertainties for the regularized absolute differential cross sections in the combined channel with respect to $ {{p_{\mathrm {T}}} ^\text {miss}} $.

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Additional Table 40:
Covariances without theoretical model uncertainties for the regularized absolute differential cross sections in the combined channel with respect to $ {p_{\text {T}}^{{\mathrm {W}}} } $.

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Additional Table 41:
Covariances without theoretical model uncertainties for the regularized absolute differential cross sections in the combined channel with respect to $ {p_{\text {T}}^{\ell}} $.

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Additional Table 42:
Covariances without theoretical model uncertainties for the regularized absolute differential cross sections in the combined channel with respect to $ | \eta ^{\ell} | $.

png pdf
Additional Table 43:
Covariances with theoretical model uncertainties for the unregularized normalised differential cross sections in the combined channel with respect to $ {N_{\text {jets}}} $.

png pdf
Additional Table 44:
Covariances with theoretical model uncertainties for the unregularized normalised differential cross sections in the combined channel with respect to $ {H_{\mathrm {T}}} $.

png pdf
Additional Table 45:
Covariances with theoretical model uncertainties for the unregularized normalised differential cross sections in the combined channel with respect to $ {S_{\text {T}}} $.

png pdf
Additional Table 46:
Covariances with theoretical model uncertainties for the unregularized normalised differential cross sections in the combined channel with respect to $ {{p_{\mathrm {T}}} ^\text {miss}} $.

png pdf
Additional Table 47:
Covariances with theoretical model uncertainties for the unregularized normalised differential cross sections in the combined channel with respect to $ {p_{\text {T}}^{{\mathrm {W}}} } $.

png pdf
Additional Table 48:
Covariances with theoretical model uncertainties for the unregularized normalised differential cross sections in the combined channel with respect to $ {p_{\text {T}}^{\ell}} $.

png pdf
Additional Table 49:
Covariances with theoretical model uncertainties for the unregularized normalised differential cross sections in the combined channel with respect to $ | \eta ^{\ell} | $.

png pdf
Additional Table 50:
Covariances without theoretical model uncertainties for the unregularized normalised differential cross sections in the combined channel with respect to $ {N_{\text {jets}}} $.

png pdf
Additional Table 51:
Covariances without theoretical model uncertainties for the unregularized normalised differential cross sections in the combined channel with respect to $ {H_{\mathrm {T}}} $.

png pdf
Additional Table 52:
Covariances without theoretical model uncertainties for the unregularized normalised differential cross sections in the combined channel with respect to $ {S_{\text {T}}} $.

png pdf
Additional Table 53:
Covariances without theoretical model uncertainties for the unregularized normalised differential cross sections in the combined channel with respect to $ {{p_{\mathrm {T}}} ^\text {miss}} $.

png pdf
Additional Table 54:
Covariances without theoretical model uncertainties for the unregularized normalised differential cross sections in the combined channel with respect to $ {p_{\text {T}}^{{\mathrm {W}}} } $.

png pdf
Additional Table 55:
Covariances without theoretical model uncertainties for the unregularized normalised differential cross sections in the combined channel with respect to $ {p_{\text {T}}^{\ell}} $.

png pdf
Additional Table 56:
Covariances without theoretical model uncertainties for the unregularized normalised differential cross sections in the combined channel with respect to $ | \eta ^{\ell} | $.

png pdf
Additional Table 57:
Covariances with theoretical model uncertainties for the unregularized normalised differential cross sections in the combined channel with respect to $ {N_{\text {jets}}} $.

png pdf
Additional Table 58:
Covariances with theoretical model uncertainties for the unregularized normalised differential cross sections in the combined channel with respect to $ {H_{\mathrm {T}}} $.

png pdf
Additional Table 59:
Covariances with theoretical model uncertainties for the unregularized normalised differential cross sections in the combined channel with respect to $ {S_{\text {T}}} $.

png pdf
Additional Table 60:
Covariances with theoretical model uncertainties for the unregularized normalised differential cross sections in the combined channel with respect to $ {{p_{\mathrm {T}}} ^\text {miss}} $.

png pdf
Additional Table 61:
Covariances with theoretical model uncertainties for the unregularized normalised differential cross sections in the combined channel with respect to $ {p_{\text {T}}^{{\mathrm {W}}} } $.

png pdf
Additional Table 62:
Covariances with theoretical model uncertainties for the unregularized normalised differential cross sections in the combined channel with respect to $ {p_{\text {T}}^{\ell}} $.

png pdf
Additional Table 63:
Covariances with theoretical model uncertainties for the unregularized normalised differential cross sections in the combined channel with respect to $ | \eta ^{\ell} | $.

png pdf
Additional Table 64:
Covariances without theoretical model uncertainties for the unregularized absolute differential cross sections in the combined channel with respect to $ {N_{\text {jets}}} $.

png pdf
Additional Table 65:
Covariances without theoretical model uncertainties for the unregularized absolute differential cross sections in the combined channel with respect to $ {H_{\mathrm {T}}} $.

png pdf
Additional Table 66:
Covariances without theoretical model uncertainties for the unregularized absolute differential cross sections in the combined channel with respect to $ {S_{\text {T}}} $.

png pdf
Additional Table 67:
Covariances without theoretical model uncertainties for the unregularized absolute differential cross sections in the combined channel with respect to $ {{p_{\mathrm {T}}} ^\text {miss}} $.

png pdf
Additional Table 68:
Covariances without theoretical model uncertainties for the unregularized absolute differential cross sections in the combined channel with respect to $ {p_{\text {T}}^{{\mathrm {W}}} } $.

png pdf
Additional Table 69:
Covariances without theoretical model uncertainties for the unregularized absolute differential cross sections in the combined channel with respect to $ {p_{\text {T}}^{\ell}} $.

png pdf
Additional Table 70:
Covariances without theoretical model uncertainties for the unregularized absolute differential cross sections in the combined channel with respect to $ | \eta ^{\ell} | $.
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