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CMS-PAS-TOP-17-014
Measurements of differential cross sections for $\mathrm{t \bar t}$ production in proton-proton collisions at $\sqrt{s}= $ 13 TeV using events containing two leptons
Abstract: Measurements are presented of differential top quark pair ($\mathrm{t \bar t}$) production cross sections using events containing two leptons produced in proton-proton collisions at a centre-of-mass energy of 13 TeV. The data were recorded by the CMS experiment at the CERN LHC in 2016 and correspond to an integrated luminosity of 35.9 fb$^{-1}$. The differential cross sections are presented as functions of kinematic observables of the top quarks and their decay products, the $\mathrm{t \bar t}$ system, and the total number of jets in the event. The differential cross sections are defined both with particle-level objects in a fiducial phase space close to that of the detector acceptance and with parton-level top quarks in the full phase space. All results are compared with standard model predictions from Monte Carlo simulations with next-to-leading-order (NLO) accuracy in quantum chromodynamics (QCD) at matrix-element level interfaced to parton-shower simulations. Where possible, parton-level results are compared to calculations with beyond NLO precision in QCD. Significant disagreement is observed between data and predictions for numerous observables. The measurements are used to constrain the top quark chromomagnetic dipole moment in an effective field theory framework at NLO in QCD and to extract $\mathrm{t \bar t}$ and leptonic charge asymmetries.
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Figures

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Figure 1:
Distributions of the multiplicity of b jets (upper left), the multiplicity of jets (upper right), the $ {p_{\mathrm {T}}} $ of the selected isolated leptons (lower left), and the $ {p_{\mathrm {T}}} $ of the reconstructed b jets (lower right) are shown from data (points) and simulation (histograms). The vertical bars on the points represent the statistical uncertainties in the data. The hatched regions correspond to the systematic uncertainties in the signal and backgrounds described in Section xxxxx. The lower panel of each plot shows the ratio of the data to the predictions from simulation.

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Figure 1-a:
Distributions of the multiplicity of b jets (upper left), the multiplicity of jets (upper right), the $ {p_{\mathrm {T}}} $ of the selected isolated leptons (lower left), and the $ {p_{\mathrm {T}}} $ of the reconstructed b jets (lower right) are shown from data (points) and simulation (histograms). The vertical bars on the points represent the statistical uncertainties in the data. The hatched regions correspond to the systematic uncertainties in the signal and backgrounds described in Section xxxxx. The lower panel of each plot shows the ratio of the data to the predictions from simulation.

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Figure 1-b:
Distributions of the multiplicity of b jets (upper left), the multiplicity of jets (upper right), the $ {p_{\mathrm {T}}} $ of the selected isolated leptons (lower left), and the $ {p_{\mathrm {T}}} $ of the reconstructed b jets (lower right) are shown from data (points) and simulation (histograms). The vertical bars on the points represent the statistical uncertainties in the data. The hatched regions correspond to the systematic uncertainties in the signal and backgrounds described in Section xxxxx. The lower panel of each plot shows the ratio of the data to the predictions from simulation.

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Figure 1-c:
Distributions of the multiplicity of b jets (upper left), the multiplicity of jets (upper right), the $ {p_{\mathrm {T}}} $ of the selected isolated leptons (lower left), and the $ {p_{\mathrm {T}}} $ of the reconstructed b jets (lower right) are shown from data (points) and simulation (histograms). The vertical bars on the points represent the statistical uncertainties in the data. The hatched regions correspond to the systematic uncertainties in the signal and backgrounds described in Section xxxxx. The lower panel of each plot shows the ratio of the data to the predictions from simulation.

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Figure 1-d:
Distributions of the multiplicity of b jets (upper left), the multiplicity of jets (upper right), the $ {p_{\mathrm {T}}} $ of the selected isolated leptons (lower left), and the $ {p_{\mathrm {T}}} $ of the reconstructed b jets (lower right) are shown from data (points) and simulation (histograms). The vertical bars on the points represent the statistical uncertainties in the data. The hatched regions correspond to the systematic uncertainties in the signal and backgrounds described in Section xxxxx. The lower panel of each plot shows the ratio of the data to the predictions from simulation.

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Figure 2:
Distributions of the $ {p_{\mathrm {T}}} $ (upper row) and rapidities (middle row), at detector level for the top quarks (left column), and $ {\text {t}\bar{\text {t}}} $ system (right column), and $m_{{\text {t}\bar{\text {t}}}}$ (lower plot) are shown from data (points) and simulation (histograms). The vertical bars on the points represent the statistical uncertainties in the data. The hatched regions correspond to the systematic uncertainties in the signal and backgrounds described in Section xxxxx. The lower panel of each plot shows the ratio of the data to the predictions from simulation.

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Figure 2-a:
Distributions of the $ {p_{\mathrm {T}}} $ (upper row) and rapidities (middle row), at detector level for the top quarks (left column), and $ {\text {t}\bar{\text {t}}} $ system (right column), and $m_{{\text {t}\bar{\text {t}}}}$ (lower plot) are shown from data (points) and simulation (histograms). The vertical bars on the points represent the statistical uncertainties in the data. The hatched regions correspond to the systematic uncertainties in the signal and backgrounds described in Section xxxxx. The lower panel of each plot shows the ratio of the data to the predictions from simulation.

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Figure 2-b:
Distributions of the $ {p_{\mathrm {T}}} $ (upper row) and rapidities (middle row), at detector level for the top quarks (left column), and $ {\text {t}\bar{\text {t}}} $ system (right column), and $m_{{\text {t}\bar{\text {t}}}}$ (lower plot) are shown from data (points) and simulation (histograms). The vertical bars on the points represent the statistical uncertainties in the data. The hatched regions correspond to the systematic uncertainties in the signal and backgrounds described in Section xxxxx. The lower panel of each plot shows the ratio of the data to the predictions from simulation.

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Figure 2-c:
Distributions of the $ {p_{\mathrm {T}}} $ (upper row) and rapidities (middle row), at detector level for the top quarks (left column), and $ {\text {t}\bar{\text {t}}} $ system (right column), and $m_{{\text {t}\bar{\text {t}}}}$ (lower plot) are shown from data (points) and simulation (histograms). The vertical bars on the points represent the statistical uncertainties in the data. The hatched regions correspond to the systematic uncertainties in the signal and backgrounds described in Section xxxxx. The lower panel of each plot shows the ratio of the data to the predictions from simulation.

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Figure 2-d:
Distributions of the $ {p_{\mathrm {T}}} $ (upper row) and rapidities (middle row), at detector level for the top quarks (left column), and $ {\text {t}\bar{\text {t}}} $ system (right column), and $m_{{\text {t}\bar{\text {t}}}}$ (lower plot) are shown from data (points) and simulation (histograms). The vertical bars on the points represent the statistical uncertainties in the data. The hatched regions correspond to the systematic uncertainties in the signal and backgrounds described in Section xxxxx. The lower panel of each plot shows the ratio of the data to the predictions from simulation.

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Figure 2-e:
Distributions of the $ {p_{\mathrm {T}}} $ (upper row) and rapidities (middle row), at detector level for the top quarks (left column), and $ {\text {t}\bar{\text {t}}} $ system (right column), and $m_{{\text {t}\bar{\text {t}}}}$ (lower plot) are shown from data (points) and simulation (histograms). The vertical bars on the points represent the statistical uncertainties in the data. The hatched regions correspond to the systematic uncertainties in the signal and backgrounds described in Section xxxxx. The lower panel of each plot shows the ratio of the data to the predictions from simulation.

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Figure 3:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections at parton level in full phase space as a function of $ {p_{\mathrm {T}}} ^{\text {t}} $ are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 3-a:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections at parton level in full phase space as a function of $ {p_{\mathrm {T}}} ^{\text {t}} $ are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 3-b:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections at parton level in full phase space as a function of $ {p_{\mathrm {T}}} ^{\text {t}} $ are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 3-c:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections at parton level in full phase space as a function of $ {p_{\mathrm {T}}} ^{\text {t}} $ are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 3-d:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections at parton level in full phase space as a function of $ {p_{\mathrm {T}}} ^{\text {t}} $ are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 4:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections at parton level in full phase space as a function of $ {p_{\mathrm {T}}} ^{\text {t}}$ are compared to theoretical predictions with beyond NLO precision. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 4-a:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections at parton level in full phase space as a function of $ {p_{\mathrm {T}}} ^{\text {t}}$ are compared to theoretical predictions with beyond NLO precision. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 4-b:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections at parton level in full phase space as a function of $ {p_{\mathrm {T}}} ^{\text {t}}$ are compared to theoretical predictions with beyond NLO precision. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 5:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{ {\bar{\text {t}}} } $ are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 5-a:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{ {\bar{\text {t}}} } $ are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 5-b:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{ {\bar{\text {t}}} } $ are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 5-c:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{ {\bar{\text {t}}} } $ are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 5-d:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{ {\bar{\text {t}}} } $ are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 6:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections at parton level in full phase space as a function of $ {p_{\mathrm {T}}} ^{{\bar{\text {t}}}}$ are compared to theoretical predictions with beyond NLO precision. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 6-a:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections at parton level in full phase space as a function of $ {p_{\mathrm {T}}} ^{{\bar{\text {t}}}}$ are compared to theoretical predictions with beyond NLO precision. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 6-b:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections at parton level in full phase space as a function of $ {p_{\mathrm {T}}} ^{{\bar{\text {t}}}}$ are compared to theoretical predictions with beyond NLO precision. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 7:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{\text {t}}$ (leading) are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 7-a:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{\text {t}}$ (leading) are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 7-b:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{\text {t}}$ (leading) are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 7-c:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{\text {t}}$ (leading) are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 7-d:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{\text {t}}$ (leading) are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 8:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{\text {t}}$ (trailing) are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 8-a:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{\text {t}}$ (trailing) are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 8-b:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{\text {t}}$ (trailing) are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 8-c:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{\text {t}}$ (trailing) are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 8-d:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{\text {t}}$ (trailing) are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 9:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{\text {t}}$($ {\text {t}\bar{\text {t}}} $ r.f.) system are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 9-a:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{\text {t}}$($ {\text {t}\bar{\text {t}}} $ r.f.) system are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 9-b:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{\text {t}}$($ {\text {t}\bar{\text {t}}} $ r.f.) system are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 9-c:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{\text {t}}$($ {\text {t}\bar{\text {t}}} $ r.f.) system are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 9-d:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{\text {t}}$($ {\text {t}\bar{\text {t}}} $ r.f.) system are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 10:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{{\bar{\text {t}}}}$($ {\text {t}\bar{\text {t}}} $ r.f.) are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 10-a:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{{\bar{\text {t}}}}$($ {\text {t}\bar{\text {t}}} $ r.f.) are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 10-b:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{{\bar{\text {t}}}}$($ {\text {t}\bar{\text {t}}} $ r.f.) are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 10-c:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{{\bar{\text {t}}}}$($ {\text {t}\bar{\text {t}}} $ r.f.) are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 10-d:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{{\bar{\text {t}}}}$($ {\text {t}\bar{\text {t}}} $ r.f.) are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 11:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $y_{\text {t}}$ are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 11-a:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $y_{\text {t}}$ are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 11-b:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $y_{\text {t}}$ are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 11-c:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $y_{\text {t}}$ are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 11-d:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $y_{\text {t}}$ are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 12:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections at parton level in full phase space as a function of $y_{\text {t}}$ are compared to theoretical predictions with beyond NLO precision. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 12-a:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections at parton level in full phase space as a function of $y_{\text {t}}$ are compared to theoretical predictions with beyond NLO precision. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 12-b:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections at parton level in full phase space as a function of $y_{\text {t}}$ are compared to theoretical predictions with beyond NLO precision. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 13:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $y_{{\bar{\text {t}}}}$ are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 13-a:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $y_{{\bar{\text {t}}}}$ are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 13-b:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $y_{{\bar{\text {t}}}}$ are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 13-c:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $y_{{\bar{\text {t}}}}$ are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 13-d:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $y_{{\bar{\text {t}}}}$ are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 14:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections at parton level in full phase space as a function of $y_{{\bar{\text {t}}}}$ are compared to theoretical predictions with beyond NLO precision. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 14-a:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections at parton level in full phase space as a function of $y_{{\bar{\text {t}}}}$ are compared to theoretical predictions with beyond NLO precision. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 14-b:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections at parton level in full phase space as a function of $y_{{\bar{\text {t}}}}$ are compared to theoretical predictions with beyond NLO precision. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 15:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $y_{\text {t}}$ (leading) are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 15-a:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $y_{\text {t}}$ (leading) are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 15-b:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $y_{\text {t}}$ (leading) are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 15-c:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $y_{\text {t}}$ (leading) are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 15-d:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $y_{\text {t}}$ (leading) are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 16:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections at parton level in full phase space as a function of $y_{\text {t}}$ (trailing) are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 16-a:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections at parton level in full phase space as a function of $y_{\text {t}}$ (trailing) are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 16-b:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections at parton level in full phase space as a function of $y_{\text {t}}$ (trailing) are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 16-c:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections at parton level in full phase space as a function of $y_{\text {t}}$ (trailing) are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 16-d:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections at parton level in full phase space as a function of $y_{\text {t}}$ (trailing) are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 17:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $\Delta |y|$(t, $ {\bar{\text {t}}} $) are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 17-a:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $\Delta |y|$(t, $ {\bar{\text {t}}} $) are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 17-b:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $\Delta |y|$(t, $ {\bar{\text {t}}} $) are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 17-c:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $\Delta |y|$(t, $ {\bar{\text {t}}} $) are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 17-d:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $\Delta |y|$(t, $ {\bar{\text {t}}} $) are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 18:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections at parton level in full phase space as a function of $\Delta |y|$(t, $ {\bar{\text {t}}} $) are compared to theoretical predictions with beyond NLO precision. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 18-a:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections at parton level in full phase space as a function of $\Delta |y|$(t, $ {\bar{\text {t}}} $) are compared to theoretical predictions with beyond NLO precision. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 18-b:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections at parton level in full phase space as a function of $\Delta |y|$(t, $ {\bar{\text {t}}} $) are compared to theoretical predictions with beyond NLO precision. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 19:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $\Delta \phi $(t, $ {\bar{\text {t}}} $) are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 19-a:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $\Delta \phi $(t, $ {\bar{\text {t}}} $) are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 19-b:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $\Delta \phi $(t, $ {\bar{\text {t}}} $) are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 19-c:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $\Delta \phi $(t, $ {\bar{\text {t}}} $) are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 19-d:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $\Delta \phi $(t, $ {\bar{\text {t}}} $) are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 20:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{{\text {t}\bar{\text {t}}}}$ are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 20-a:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{{\text {t}\bar{\text {t}}}}$ are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 20-b:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{{\text {t}\bar{\text {t}}}}$ are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 20-c:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{{\text {t}\bar{\text {t}}}}$ are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 20-d:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{{\text {t}\bar{\text {t}}}}$ are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 21:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections at parton level in full phase space as a function of $ {p_{\mathrm {T}}} ^{{\text {t}\bar{\text {t}}}}$ are compared to theoretical predictions with beyond NLO precision. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 21-a:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections at parton level in full phase space as a function of $ {p_{\mathrm {T}}} ^{{\text {t}\bar{\text {t}}}}$ are compared to theoretical predictions with beyond NLO precision. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 21-b:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections at parton level in full phase space as a function of $ {p_{\mathrm {T}}} ^{{\text {t}\bar{\text {t}}}}$ are compared to theoretical predictions with beyond NLO precision. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 22:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $y_{{\text {t}\bar{\text {t}}}}$ are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 22-a:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $y_{{\text {t}\bar{\text {t}}}}$ are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 22-b:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $y_{{\text {t}\bar{\text {t}}}}$ are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 22-c:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $y_{{\text {t}\bar{\text {t}}}}$ are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 22-d:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $y_{{\text {t}\bar{\text {t}}}}$ are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 23:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections at parton level in full phase space as a function of $y^{{\text {t}\bar{\text {t}}}}$ are compared to theoretical predictions with beyond NLO precision. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 23-a:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections at parton level in full phase space as a function of $y^{{\text {t}\bar{\text {t}}}}$ are compared to theoretical predictions with beyond NLO precision. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 23-b:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections at parton level in full phase space as a function of $y^{{\text {t}\bar{\text {t}}}}$ are compared to theoretical predictions with beyond NLO precision. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 24:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $m_{{\text {t}\bar{\text {t}}}}$ are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 24-a:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $m_{{\text {t}\bar{\text {t}}}}$ are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 24-b:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $m_{{\text {t}\bar{\text {t}}}}$ are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 24-c:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $m_{{\text {t}\bar{\text {t}}}}$ are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 24-d:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $m_{{\text {t}\bar{\text {t}}}}$ are shown. The left and right columns correspond to absolute and normalised measurements, respectively. The upper row corresponds to measurements at parton level in the full phase space and the lower row to particle level in a fiducial phase space. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 25:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections at parton level in full phase space as a function of $m_{{\text {t}\bar{\text {t}}}}$ are compared to theoretical predictions with beyond NLO precision. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 25-a:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections at parton level in full phase space as a function of $m_{{\text {t}\bar{\text {t}}}}$ are compared to theoretical predictions with beyond NLO precision. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 25-b:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections at parton level in full phase space as a function of $m_{{\text {t}\bar{\text {t}}}}$ are compared to theoretical predictions with beyond NLO precision. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 26:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{\text {l}}$ in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 26-a:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{\text {l}}$ in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 26-b:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{\text {l}}$ in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 27:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{{\bar{\text {l}}}}$ in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 27-a:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{{\bar{\text {l}}}}$ in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 27-b:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{{\bar{\text {l}}}}$ in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 28:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{\text {l}}$ (leading) in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 28-a:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{\text {l}}$ (leading) in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 28-b:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{\text {l}}$ (leading) in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 29:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{\text {l}}$ (trailing) in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 29-a:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{\text {l}}$ (trailing) in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 29-b:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{\text {l}}$ (trailing) in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 30:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $\eta _{\text {l}}$ in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 30-a:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $\eta _{\text {l}}$ in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 30-b:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $\eta _{\text {l}}$ in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 31:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $\eta _{{\bar{\text {l}}}}$ in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 31-a:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $\eta _{{\bar{\text {l}}}}$ in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 31-b:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $\eta _{{\bar{\text {l}}}}$ in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 32:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $\eta _{\text {l}}$ (leading) in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 32-a:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $\eta _{\text {l}}$ (leading) in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 32-b:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $\eta _{\text {l}}$ (leading) in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 33:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $\eta _{\text {l}}$ (trailing) in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 33-a:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $\eta _{\text {l}}$ (trailing) in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 33-b:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $\eta _{\text {l}}$ (trailing) in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 34:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{{\text {l}\bar{\text {l}}}}$ in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 34-a:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{{\text {l}\bar{\text {l}}}}$ in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 34-b:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{{\text {l}\bar{\text {l}}}}$ in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 35:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $m_{{\text {l}\bar{\text {l}}}}$ in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 35-a:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $m_{{\text {l}\bar{\text {l}}}}$ in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 35-b:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $m_{{\text {l}\bar{\text {l}}}}$ in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 36:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $\Delta \phi $(l, ${\bar{\text {l}}}$) in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 36-a:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $\Delta \phi $(l, ${\bar{\text {l}}}$) in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 36-b:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $\Delta \phi $(l, ${\bar{\text {l}}}$) in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 37:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $\Delta |\eta |$(l,$ {\bar{\text {l}}}$) in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 37-a:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $\Delta |\eta |$(l,$ {\bar{\text {l}}}$) in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 37-b:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $\Delta |\eta |$(l,$ {\bar{\text {l}}}$) in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 38:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $N_{\text {jets}}$\ in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 38-a:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $N_{\text {jets}}$\ in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 38-b:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $N_{\text {jets}}$\ in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

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Figure 39:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{\text {b}}$ (leading) in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 39-a:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{\text {b}}$ (leading) in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 39-b:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{\text {b}}$ (leading) in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 40:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{\text {b}}$ (trailing) in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 40-a:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{\text {b}}$ (trailing) in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 40-b:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{\text {b}}$ (trailing) in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 41:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $\eta _{\text {b}}$ (leading) in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 41-a:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $\eta _{\text {b}}$ (leading) in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 41-b:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $\eta _{\text {b}}$ (leading) in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 42:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $\eta _{\text {b}}$ (trailing) in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 42-a:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $\eta _{\text {b}}$ (trailing) in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 42-b:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $\eta _{\text {b}}$ (trailing) in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 43:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{{\text {b}\bar{\text {b}}}}$ in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 43-a:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{{\text {b}\bar{\text {b}}}}$ in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 43-b:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $ {p_{\mathrm {T}}} ^{{\text {b}\bar{\text {b}}}}$ in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 44:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $m_{{\text {b}\bar{\text {b}}}}$ in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 44-a:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $m_{{\text {b}\bar{\text {b}}}}$ in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 44-b:
The differential $ {\text {t}\bar{\text {t}}} $ production cross sections as a function of $m_{{\text {b}\bar{\text {b}}}}$ in a fiducial phase space at particle level are shown. The left and right plots correspond to absolute and normalised measurements, respectively. The lower panel in each plot shows the ratio of the theoretical prediction to the data.

png pdf
Figure 45:
The p-values quantifying the agreement between data and theoretical predictions from Monte Carlo generators for all normalised measurements are shown. Points situated on the horizontal axes indicate p-values less than 0.001.

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Figure 46:
The p-values quantifying the agreement between theoretical predictions with beyond NLO precision and data for selected normalised measurements at parton-level are shown. Points situated on the horizontal axes indicate p-values of less than 0.001.

png pdf
Figure 47:
In the left plot, the differential $ {\text {t}\bar{\text {t}}} $ cross sections as a function of $\Delta \phi $($l$, ${\bar{\text {l}}}$) at particle-level in a fiducial phase space is shown. The points correspond to data and the lines correspond to predictions with $C_\text {tG}/\lambda ^{2} = -1.0,\, 0.0,\, 1.0 $ TeV$^{-1}$, produced with the MG5\_aMC@NLO\ generator at NLO interfaced with PYTHIA8. The right plot shows the $\Delta \chi ^{2}$ as a function of $C_\text {tG}/\lambda ^{2}$. The nominal fit and corresponding 68% and 95% CIs are indicated by the central dashed curve and filled areas, respectively. The other dashed curves represent fits with the variations of the normalisations and shapes of the predictions that yield the largest deviations on the best-fit value of $C_\text {tG}/\lambda ^{2}$.

png pdf
Figure 47-a:
In the left plot, the differential $ {\text {t}\bar{\text {t}}} $ cross sections as a function of $\Delta \phi $($l$, ${\bar{\text {l}}}$) at particle-level in a fiducial phase space is shown. The points correspond to data and the lines correspond to predictions with $C_\text {tG}/\lambda ^{2} = -1.0,\, 0.0,\, 1.0 $ TeV$^{-1}$, produced with the MG5\_aMC@NLO\ generator at NLO interfaced with PYTHIA8. The right plot shows the $\Delta \chi ^{2}$ as a function of $C_\text {tG}/\lambda ^{2}$. The nominal fit and corresponding 68% and 95% CIs are indicated by the central dashed curve and filled areas, respectively. The other dashed curves represent fits with the variations of the normalisations and shapes of the predictions that yield the largest deviations on the best-fit value of $C_\text {tG}/\lambda ^{2}$.

png pdf
Figure 47-b:
In the left plot, the differential $ {\text {t}\bar{\text {t}}} $ cross sections as a function of $\Delta \phi $($l$, ${\bar{\text {l}}}$) at particle-level in a fiducial phase space is shown. The points correspond to data and the lines correspond to predictions with $C_\text {tG}/\lambda ^{2} = -1.0,\, 0.0,\, 1.0 $ TeV$^{-1}$, produced with the MG5\_aMC@NLO\ generator at NLO interfaced with PYTHIA8. The right plot shows the $\Delta \chi ^{2}$ as a function of $C_\text {tG}/\lambda ^{2}$. The nominal fit and corresponding 68% and 95% CIs are indicated by the central dashed curve and filled areas, respectively. The other dashed curves represent fits with the variations of the normalisations and shapes of the predictions that yield the largest deviations on the best-fit value of $C_\text {tG}/\lambda ^{2}$.

png pdf
Figure 48:
The results of the ${A_\text {c}^{\text {x}}}$ extraction (x = $ {\text {t}\bar{\text {t}}} $ or ${\text {l}\bar{\text {l}}}$) from normalised parton- and particle-level differential cross section measurements are shown. The central values for data are indicated by the solid line with the 68% and 95% CI represented by the shaded bands, respectively. The dashed lines indicate the SM predictions produced with the MG5\_aMC@NLO\ and POWHEG generators both interfaced with PYTHIA8and a calculation with NLO precision in QCD and including corrections arising from mixing between QCD and electroweak diagrams, and between QCD and QED diagrams [74].
Tables

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Table 1:
The $\chi ^{2}$/ndof and p values quantifying the agreement between theoretical predictions and data for normalised, parton-level measurements are shown.

png pdf
Table 2:
The $\chi ^{2}$/ndof and p values quantifying the agreement between theoretical predictions and data for absolute, parton-level measurements are shown.

png pdf
Table 3:
The $\chi ^{2}$/ndof and p values quantifying the agreement between theoretical predictions and data for normalised, particle-level measurements are shown.

png pdf
Table 4:
The $\chi ^{2}$/ndof and p values quantifying the agreement between theoretical predictions and data for absolute, particle-level measurements are shown.

png pdf
Table 5:
The $\chi ^{2}/ndof$ and p values quantifying the agreement between theoretical predictions and data for normalised, parton-level measurements are shown.

png pdf
Table 6:
The $\chi ^{2}/ndof$ and p values quantifying the agreement between theoretical predictions and data for absolute, parton-level measurements are shown.
Summary
Measurements are presented of absolute and normalised differential cross sections of $ \mathrm{t\bar{t}} $ production based on both particle-level objects in a fiducial phase space and parton-level top quarks in a full phase space using pp collisions at a centre-of-mass energy of 13 TeV recorded by the CMS detector. Most measured differential cross sections are well modelled by theoretical predictions. However, significant disagreement between the data and next-to-leading-order Monte Carlo is observed for the transverse momentum of top quarks, leptons, b jets, and $ \mathrm{t\bar{t}} $, $ {\text{l}\bar{\text{l}}} $, and $ \mathrm{b\bar{b}} $ systems and for the invariant mass of the $ \mathrm{t\bar{t}} $, $ {\text{l}\bar{\text{l}}} $, and $ \mathrm{b\bar{b}} $ systems. Similar levels of disagreement are observed for predictions with beyond NLO precision. The jet multiplicity distribution is not well described by any of the next-leading-order Monte Carlo predictions for high multiplicities with the exception of a prediction based on MG5\_aMC@NLO and Pythia8. The absolute particle-level differential cross section as a function of $\Delta\phi$(l,${\bar{\text{l}}}$) is used to constrain the top quark chromomagnetic dipole moment at next-to-leading order in quantum chromodynamics using an effective field theory framework. The normalised differential cross sections as a function of $\Delta|\text{y}|$(t,${\bar{\text{t}}}$) and $\Delta|\eta|$(l,${\bar{\text{l}}}$) are used to measure the $ \mathrm{t\bar{t}} $ and leptonic charge asymmetries for the first time using 13 TeV data.
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Compact Muon Solenoid
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