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| CMS-TOP-18-013 ; CERN-EP-2020-121 | ||
| Measurement of differential $\mathrm{t\bar{t}}$ production cross sections using top quarks at large transverse momenta in pp collisions at $\sqrt{s} = $ 13 TeV | ||
| CMS Collaboration | ||
| 18 August 2020 | ||
| Phys. Rev. D 103 (2021) 052008 | ||
| Abstract: A measurement is reported of differential top quark pair ($\mathrm{t\bar{t}}$) production cross sections, where top quarks are produced at large transverse momenta. The data collected with the CMS detector at the LHC are from pp collisions at a center-of-mass energy of 13 TeV corresponding to an integrated luminosity of 35.9 fb$^{-1}$. The measurement uses events where at least one top quark decays as $\mathrm{t} \to \mathrm{W} \mathrm{b} \to \mathrm{q} \mathrm{\bar{q}}' \mathrm{b}$ and is reconstructed as a large-radius jet with transverse momentum in excess of 400 GeV. The second top quark is required to decay either in a similar way, or leptonically, as inferred from a reconstructed electron or muon, a bottom quark jet, and a missing transverse momentum due to the undetected neutrino. The cross section is extracted as a function of kinematic variables of individual top quarks or of the $\mathrm{t\bar{t}}$ system. The results are presented at the particle level, within a region of phase space close to that of the experimental acceptance, and at the parton level, and are compared to various theoretical models. In both decay channels the observed absolute cross sections are significantly lower than the predictions from theory, while the normalized differential measurements are well described. | ||
| Links: e-print arXiv:2008.07860 [hep-ex] (PDF) ; CDS record ; inSPIRE record ; CADI line (restricted) ; | ||
| Figures | |
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Figure 1:
Result of the fit of ${m_{\mathrm {SD}}}$ of the t jet candidate, $m^{\mathrm{t}}$, in the signal region SR$_{\mathrm {A}}$ to data in the all-jet events. The shaded area shows the ${\mathrm{t} {}\mathrm{\bar{t}}}$ contribution, the dashed line the multijet background, and the dash-dotted line the other subdominant backgrounds. The solid line is the fit to the combined signal+background model, and the data points are represented by the filled circles. The lower panel shows the difference between the data and the fit model, divided by the uncertainty in the fit. |
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Figure 2:
Comparison between data and prediction in the signal region SR$_{\mathrm {B}}$ (same as the SR, but without an NN requirement) of the NN output distribution for the all-jet channel. The contributions from ${\mathrm{t} {}\mathrm{\bar{t}}}$ and multijet production are normalized according to the fitted values of their respective yields and shown as stacked histograms. The data points are represented by filled circles, while the shaded band represents the statistical uncertainty in simulation. The lower panel shows the data divided by the sum of the predictions. |
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Figure 3:
Comparison between data and prediction in the signal region SR for the ${p_{\mathrm {T}}}$ (upper row) and absolute rapidity (lower row) of the leading (left column) and subleading (right column) large-$R$ jets in the all-jet channel. The contributions from ${\mathrm{t} {}\mathrm{\bar{t}}}$ and multijet production are normalized according to the fitted values of the respective yields and are shown as stacked histograms. The data points are shown with filled circles, while the shaded band represents the statistical uncertainty in the simulation. The lower panel shows the data divided by the sum of the predictions. |
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Figure 3-a:
Comparison between data and prediction in the signal region SR for the ${p_{\mathrm {T}}}$ of the leading large-$R$ jet in the all-jet channel. The contributions from ${\mathrm{t} {}\mathrm{\bar{t}}}$ and multijet production are normalized according to the fitted values of the respective yields and are shown as stacked histograms. The data points are shown with filled circles, while the shaded band represents the statistical uncertainty in the simulation. The lower panel shows the data divided by the sum of the predictions. |
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Figure 3-b:
Comparison between data and prediction in the signal region SR for the ${p_{\mathrm {T}}}$ of the subleading large-$R$ jet in the all-jet channel. The contributions from ${\mathrm{t} {}\mathrm{\bar{t}}}$ and multijet production are normalized according to the fitted values of the respective yields and are shown as stacked histograms. The data points are shown with filled circles, while the shaded band represents the statistical uncertainty in the simulation. The lower panel shows the data divided by the sum of the predictions. |
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Figure 3-c:
Comparison between data and prediction in the signal region SR for the absolute rapidity of the leading large-$R$ jet in the all-jet channel. The contributions from ${\mathrm{t} {}\mathrm{\bar{t}}}$ and multijet production are normalized according to the fitted values of the respective yields and are shown as stacked histograms. The data points are shown with filled circles, while the shaded band represents the statistical uncertainty in the simulation. The lower panel shows the data divided by the sum of the predictions. |
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Figure 3-d:
Comparison between data and prediction in the signal region SR for the absolute rapidity of the subleading large-$R$ jet in the all-jet channel. The contributions from ${\mathrm{t} {}\mathrm{\bar{t}}}$ and multijet production are normalized according to the fitted values of the respective yields and are shown as stacked histograms. The data points are shown with filled circles, while the shaded band represents the statistical uncertainty in the simulation. The lower panel shows the data divided by the sum of the predictions. |
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Figure 4:
Comparison between data and prediction in the signal region SR of the all-jet channel for the kinematic properties of the system of the two leading large-$R$ jets (${\mathrm{t} {}\mathrm{\bar{t}}}$ candidates). Specifically, the invariant mass (upper left), ${p_{\mathrm {T}}}$ (upper right), and rapidity (lower). The contributions from ${\mathrm{t} {}\mathrm{\bar{t}}}$ and multijet production are normalized according to the fitted values of the respective yields and are shown as stacked histograms. The data points are shown with filled circles, while the shaded band represents the statistical uncertainty in the simulation. The lower panel shows the data divided by the sum of the predictions. |
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Figure 4-a:
Comparison between data and prediction in the signal region SR of the all-jet channel for the invariant mass of the system of the two leading large-$R$ jets (${\mathrm{t} {}\mathrm{\bar{t}}}$ candidates). The contributions from ${\mathrm{t} {}\mathrm{\bar{t}}}$ and multijet production are normalized according to the fitted values of the respective yields and are shown as stacked histograms. The data points are shown with filled circles, while the shaded band represents the statistical uncertainty in the simulation. The lower panel shows the data divided by the sum of the predictions. |
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Figure 4-b:
Comparison between data and prediction in the signal region SR of the all-jet channel for the ${p_{\mathrm {T}}}$ of the system of the two leading large-$R$ jets (${\mathrm{t} {}\mathrm{\bar{t}}}$ candidates). The contributions from ${\mathrm{t} {}\mathrm{\bar{t}}}$ and multijet production are normalized according to the fitted values of the respective yields and are shown as stacked histograms. The data points are shown with filled circles, while the shaded band represents the statistical uncertainty in the simulation. The lower panel shows the data divided by the sum of the predictions. |
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Figure 4-c:
Comparison between data and prediction in the signal region SR of the all-jet channel for the rapidity of the system of the two leading large-$R$ jets (${\mathrm{t} {}\mathrm{\bar{t}}}$ candidates). The contributions from ${\mathrm{t} {}\mathrm{\bar{t}}}$ and multijet production are normalized according to the fitted values of the respective yields and are shown as stacked histograms. The data points are shown with filled circles, while the shaded band represents the statistical uncertainty in the simulation. The lower panel shows the data divided by the sum of the predictions. |
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Figure 5:
Comparison between data and prediction in the signal region SR for the mass of the leading (left) and subleading (right) large-$R$ jets in the all-jet channel. The ${\mathrm{t} {}\mathrm{\bar{t}}}$ and multijet production are normalized according to the fitted values of the respective yields and are displayed as stacked histograms. The data points are shown with filled circles, while the shaded band represents the statistical uncertainty in the simulation. The lower panel shows the data divided by the sum of the predictions. |
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Figure 5-a:
Comparison between data and prediction in the signal region SR for the mass of the leading large-$R$ jets in the all-jet channel. The ${\mathrm{t} {}\mathrm{\bar{t}}}$ and multijet production are normalized according to the fitted values of the respective yields and are displayed as stacked histograms. The data points are shown with filled circles, while the shaded band represents the statistical uncertainty in the simulation. The lower panel shows the data divided by the sum of the predictions. |
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Figure 5-b:
Comparison between data and prediction in the signal region SR for the mass of the subleading large-$R$ jets in the all-jet channel. The ${\mathrm{t} {}\mathrm{\bar{t}}}$ and multijet production are normalized according to the fitted values of the respective yields and are displayed as stacked histograms. The data points are shown with filled circles, while the shaded band represents the statistical uncertainty in the simulation. The lower panel shows the data divided by the sum of the predictions. |
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Figure 6:
Posterior kinematic distributions in the maximum-likelihood fit. Different event categories and variables are fitted: $\eta $ distribution for small-$R$ jets in 0t events (upper row), $\eta $ distribution of the b jet candidate in 1t0b events (middle row), and ${m_{\mathrm {SD}}}$ of the t jet candidate in 1t1b events (lower row), in the e+jets (left column) and $\mu $+jets (right column) channels. The data points are indicated by filled circles, while the signal and background predictions are shown as stacked histograms. The lower panels show data divided by the sum of the predictions and their systematic uncertainties as obtained from the fit (shaded band). |
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Figure 6-a:
Posterior kinematic distribution in the maximum-likelihood fit of $\eta $ for small-$R$ jets in 0t events in the e+jets channel. The data points are indicated by filled circles, while the signal and background predictions are shown as stacked histograms. The lower panel shows data divided by the sum of the predictions and their systematic uncertainties as obtained from the fit (shaded band). |
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Figure 6-b:
Posterior kinematic distribution in the maximum-likelihood fit of $\eta $ for small-$R$ jets in 0t events in the $\mu $+jets channel. The data points are indicated by filled circles, while the signal and background predictions are shown as stacked histograms. The lower panel shows data divided by the sum of the predictions and their systematic uncertainties as obtained from the fit (shaded band). |
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Figure 6-c:
Posterior kinematic distribution in the maximum-likelihood fit of the $\eta $ of the b jet candidate in 1t0b events in the e+jets channel. The data points are indicated by filled circles, while the signal and background predictions are shown as stacked histograms. The lower panel shows data divided by the sum of the predictions and their systematic uncertainties as obtained from the fit (shaded band). |
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Figure 6-d:
Posterior kinematic distribution in the maximum-likelihood fit of the $\eta $ of the b jet candidate in 1t0b events in the $\mu$+jets channel. The data points are indicated by filled circles, while the signal and background predictions are shown as stacked histograms. The lower panel shows data divided by the sum of the predictions and their systematic uncertainties as obtained from the fit (shaded band). |
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Figure 6-e:
Posterior kinematic distribution in the maximum-likelihood fit of the ${m_{\mathrm {SD}}}$ of the t jet candidate in 1t1b events in the e+jets channel. The data points are indicated by filled circles, while the signal and background predictions are shown as stacked histograms. The lower panel shows data divided by the sum of the predictions and their systematic uncertainties as obtained from the fit (shaded band). |
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Figure 6-f:
Posterior kinematic distribution in the maximum-likelihood fit of the ${m_{\mathrm {SD}}}$ of the t jet candidate in 1t1b events in the $\mu $+jets channel. The data points are indicated by filled circles, while the signal and background predictions are shown as stacked histograms. The lower panel shows data divided by the sum of the predictions and their systematic uncertainties as obtained from the fit (shaded band). |
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Figure 7:
Distributions of the ${p_{\mathrm {T}}}$ (left column) and $y$ (right column) of the t jet candidate for the 0t (upper row), 1t0b (middle row), and 1t1b (lower row) events in the combined $\ell $+jets channel that use the posterior t tag scale factors and background normalizations. The data points are given by the filled circles, while the signal and background predictions are shown as stacked histograms. The lower panels show data divided by the sum of the predictions and their systematic uncertainties as obtained from the fit (shaded band). |
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Figure 7-a:
Distribution of the ${p_{\mathrm {T}}}$ of the t jet candidate for the 0t events in the combined $\ell $+jets channel that use the posterior t tag scale factors and background normalizations. The data points are given by the filled circles, while the signal and background predictions are shown as stacked histograms. The lower panel shows data divided by the sum of the predictions and their systematic uncertainties as obtained from the fit (shaded band). |
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Figure 7-b:
Distribution of the $y$ of the t jet candidate for the 0t events in the combined $\ell $+jets channel that use the posterior t tag scale factors and background normalizations. The data points are given by the filled circles, while the signal and background predictions are shown as stacked histograms. The lower panel shows data divided by the sum of the predictions and their systematic uncertainties as obtained from the fit (shaded band). |
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Figure 7-c:
Distribution of the ${p_{\mathrm {T}}}$ of the t jet candidate for the 1t0b events in the combined $\ell $+jets channel that use the posterior t tag scale factors and background normalizations. The data points are given by the filled circles, while the signal and background predictions are shown as stacked histograms. The lower panel shows data divided by the sum of the predictions and their systematic uncertainties as obtained from the fit (shaded band). |
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Figure 7-d:
Distribution of the $y$ of the t jet candidate for the 1t0b events in the combined $\ell $+jets channel that use the posterior t tag scale factors and background normalizations. The data points are given by the filled circles, while the signal and background predictions are shown as stacked histograms. The lower panel shows data divided by the sum of the predictions and their systematic uncertainties as obtained from the fit (shaded band). |
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Figure 7-e:
Distribution of the ${p_{\mathrm {T}}}$ of the t jet candidate for the 1t1b events in the combined $\ell $+jets channel that use the posterior t tag scale factors and background normalizations. The data points are given by the filled circles, while the signal and background predictions are shown as stacked histograms. The lower panel shows data divided by the sum of the predictions and their systematic uncertainties as obtained from the fit (shaded band). |
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Figure 7-f:
Distribution of the $y$ of the t jet candidate for the 1t1b events in the combined $\ell $+jets channel that use the posterior t tag scale factors and background normalizations. The data points are given by the filled circles, while the signal and background predictions are shown as stacked histograms. The lower panel shows data divided by the sum of the predictions and their systematic uncertainties as obtained from the fit (shaded band). |
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Figure 8:
Simulated fractions $f_1$ and $f_2$ for the parton-level (upper row) and particle-level (lower row) selection in the all-jet channel as a function of the leading top quark ${p_{\mathrm {T}}}$ (left column) and $ {| y |}$ (right column). The fraction $f_1$ is a function of the leading reconstructed top quark and the $f_2$ is a function of the leading top quark at parton or particle level. |
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Figure 8-a:
Simulated fractions $f_1$ and $f_2$ for the parton-level selection in the all-jet channel as a function of the leading top quark ${p_{\mathrm {T}}}$. The fraction $f_1$ is a function of the leading reconstructed top quark and the $f_2$ is a function of the leading top quark at parton or particle level. |
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Figure 8-b:
Simulated fractions $f_1$ and $f_2$ for the parton-level selection in the all-jet channel as a function of the leading top quark $ {| y |}$. The fraction $f_1$ is a function of the leading reconstructed top quark and the $f_2$ is a function of the leading top quark at parton or particle level. |
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Figure 8-c:
Simulated fractions $f_1$ and $f_2$ for the particle-level selection in the all-jet channel as a function of the leading top quark ${p_{\mathrm {T}}}$. The fraction $f_1$ is a function of the leading reconstructed top quark and the $f_2$ is a function of the leading top quark at parton or particle level. |
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Figure 8-d:
Simulated fractions $f_1$ and $f_2$ for the particle-level selection in the all-jet channel as a function of the leading top quark $ {| y |}$. The fraction $f_1$ is a function of the leading reconstructed top quark and the $f_2$ is a function of the leading top quark at parton or particle level. |
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Figure 9:
Migration matrices determined from simulation for the leading top quark ${p_{\mathrm {T}}}$ (upper row) and $m^{{\mathrm{t} {}\mathrm{\bar{t}}}}$ (lower row) at the parton level (left) and particle level (right) in the all-jet channel. Each column is normalized to unity. |
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Figure 9-a:
Migration matrices determined from simulation for the leading top quark ${p_{\mathrm {T}}}$ at the parton level in the all-jet channel. Each column is normalized to unity. |
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Figure 9-b:
Migration matrices determined from simulation for the leading top quark ${p_{\mathrm {T}}}$ at the particle level in the all-jet channel. Each column is normalized to unity. |
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Figure 9-c:
Migration matrices determined from simulation for the leading top quark $m^{{\mathrm{t} {}\mathrm{\bar{t}}}}$ at the parton level in the all-jet channel. Each column is normalized to unity. |
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Figure 9-d:
Migration matrices determined from simulation for the leading top quark $m^{{\mathrm{t} {}\mathrm{\bar{t}}}}$ at the particle level in the all-jet channel. Each column is normalized to unity. |
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Figure 10:
Migration matrices determined from simulation for top quark ${p_{\mathrm {T}}}$ (upper row) and rapidity (lower row) at the parton level (left) and particle level (right) in the $\ell $+jets channel. Each column is normalized to unity. |
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Figure 10-a:
Migration matrices determined from simulation for top quark ${p_{\mathrm {T}}}$ at the parton level in the $\ell $+jets channel. Each column is normalized to unity. |
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Figure 10-b:
Migration matrices determined from simulation for top quark ${p_{\mathrm {T}}}$ at the particle level in the $\ell $+jets channel. Each column is normalized to unity. |
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Figure 10-c:
Migration matrices determined from simulation for top quark rapidity at the parton level in the $\ell $+jets channel. Each column is normalized to unity. |
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Figure 10-d:
Migration matrices determined from simulation for top quark rapidity at the particle level in the $\ell $+jets channel. Each column is normalized to unity. |
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Figure 11:
Differential cross section unfolded to the particle level, absolute (left) and normalized (right), as a function of the leading (upper row) and subleading (lower row) top quark ${p_{\mathrm {T}}}$ in the all-jet channel. The lower panel shows the ratio (MC/data)$-$1. The vertical bars on the data and in the ratio represent the statistical uncertainty in data, while the shaded band shows the total statistical and systematic uncertainty added in quadrature. |
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Figure 11-a:
Differential cross section unfolded to the particle level, absolute, as a function of the leading top quark ${p_{\mathrm {T}}}$ in the all-jet channel. The lower panel shows the ratio (MC/data)$-$1. The vertical bars on the data and in the ratio represent the statistical uncertainty in data, while the shaded band shows the total statistical and systematic uncertainty added in quadrature. |
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Figure 11-b:
Differential cross section unfolded to the particle level, normalized, as a function of the leading top quark ${p_{\mathrm {T}}}$ in the all-jet channel. The lower panel shows the ratio (MC/data)$-$1. The vertical bars on the data and in the ratio represent the statistical uncertainty in data, while the shaded band shows the total statistical and systematic uncertainty added in quadrature. |
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Figure 11-c:
Differential cross section unfolded to the particle level, absolute, as a function of the subleading top quark ${p_{\mathrm {T}}}$ in the all-jet channel. The lower panel shows the ratio (MC/data)$-$1. The vertical bars on the data and in the ratio represent the statistical uncertainty in data, while the shaded band shows the total statistical and systematic uncertainty added in quadrature. |
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Figure 11-d:
Differential cross section unfolded to the particle level, normalized, as a function of the subleading top quark ${p_{\mathrm {T}}}$ in the all-jet channel. The lower panel shows the ratio (MC/data)$-$1. The vertical bars on the data and in the ratio represent the statistical uncertainty in data, while the shaded band shows the total statistical and systematic uncertainty added in quadrature. |
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Figure 12:
Differential cross section unfolded to the particle level, absolute (left) and normalized (right), as a function of the leading (upper row) and subleading (lower row) top quark $ {| y |}$ in the all-jet channel. The lower panel shows the ratio (MC/data)$-$1. The vertical bars on the data and in the ratio represent the statistical uncertainty in data, while the shaded band shows the total statistical and systematic uncertainty added in quadrature. |
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Figure 12-a:
Differential cross section unfolded to the particle level, absolute, as a function of the leading top quark $ {| y |}$ in the all-jet channel. The lower panel shows the ratio (MC/data)$-$1. The vertical bars on the data and in the ratio represent the statistical uncertainty in data, while the shaded band shows the total statistical and systematic uncertainty added in quadrature. |
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Figure 12-b:
Differential cross section unfolded to the particle level, normalized, as a function of the leading top quark $ {| y |}$ in the all-jet channel. The lower panel shows the ratio (MC/data)$-$1. The vertical bars on the data and in the ratio represent the statistical uncertainty in data, while the shaded band shows the total statistical and systematic uncertainty added in quadrature. |
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Figure 12-c:
Differential cross section unfolded to the particle level, absolute, as a function of the subleading top quark $ {| y |}$ in the all-jet channel. The lower panel shows the ratio (MC/data)$-$1. The vertical bars on the data and in the ratio represent the statistical uncertainty in data, while the shaded band shows the total statistical and systematic uncertainty added in quadrature. |
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Figure 12-d:
Differential cross section unfolded to the particle level, normalized, as a function of the subleading top quark $ {| y |}$ in the all-jet channel. The lower panel shows the ratio (MC/data)$-$1. The vertical bars on the data and in the ratio represent the statistical uncertainty in data, while the shaded band shows the total statistical and systematic uncertainty added in quadrature. |
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Figure 13:
Differential cross section unfolded to the particle level, absolute (left) and normalized (right), as a function of $m^{{\mathrm{t} {}\mathrm{\bar{t}}}}$ (upper row), $ {p_{\mathrm {T}}} ^{{\mathrm{t} {}\mathrm{\bar{t}}}}$ (middle row), and $y^{{\mathrm{t} {}\mathrm{\bar{t}}}}$ (lower row) in the all-jet channel. The lower panel shows the ratio (MC/data)$-$1. The vertical bars on the data and in the ratio represent the statistical uncertainty in data, while the shaded band shows the total statistical and systematic uncertainty added in quadrature. |
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Figure 13-a:
Differential cross section unfolded to the particle level, absolute, as a function of $m^{{\mathrm{t} {}\mathrm{\bar{t}}}}$ in the all-jet channel. The lower panel shows the ratio (MC/data)$-$1. The vertical bars on the data and in the ratio represent the statistical uncertainty in data, while the shaded band shows the total statistical and systematic uncertainty added in quadrature. |
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Figure 13-b:
Differential cross section unfolded to the particle level, normalized, as a function of $m^{{\mathrm{t} {}\mathrm{\bar{t}}}}$ n the all-jet channel. The lower panel shows the ratio (MC/data)$-$1. The vertical bars on the data and in the ratio represent the statistical uncertainty in data, while the shaded band shows the total statistical and systematic uncertainty added in quadrature. |
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Figure 13-c:
Differential cross section unfolded to the particle level, absolute, as a function of $ {p_{\mathrm {T}}} ^{{\mathrm{t} {}\mathrm{\bar{t}}}}$ in the all-jet channel. The lower panel shows the ratio (MC/data)$-$1. The vertical bars on the data and in the ratio represent the statistical uncertainty in data, while the shaded band shows the total statistical and systematic uncertainty added in quadrature. |
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Figure 13-d:
Differential cross section unfolded to the particle level, normalized, as a function of $ {p_{\mathrm {T}}} ^{{\mathrm{t} {}\mathrm{\bar{t}}}}$ in the all-jet channel. The lower panel shows the ratio (MC/data)$-$1. The vertical bars on the data and in the ratio represent the statistical uncertainty in data, while the shaded band shows the total statistical and systematic uncertainty added in quadrature. |
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Figure 13-e:
Differential cross section unfolded to the particle level, absolute, as a function of $y^{{\mathrm{t} {}\mathrm{\bar{t}}}}$ in the all-jet channel. The lower panel shows the ratio (MC/data)$-$1. The vertical bars on the data and in the ratio represent the statistical uncertainty in data, while the shaded band shows the total statistical and systematic uncertainty added in quadrature. |
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Figure 13-f:
Differential cross section unfolded to the particle level, normalized, as a function of $y^{{\mathrm{t} {}\mathrm{\bar{t}}}}$ in the all-jet channel. The lower panel shows the ratio (MC/data)$-$1. The vertical bars on the data and in the ratio represent the statistical uncertainty in data, while the shaded band shows the total statistical and systematic uncertainty added in quadrature. |
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Figure 14:
Differential cross section unfolded to the parton level, absolute (left) and normalized (right), as a function of the leading (upper row) and subleading (lower row) top quark ${p_{\mathrm {T}}}$ in the all-jet channel. The lower panel shows the ratio (MC/data)$-$1. The vertical bars on the data and in the ratio represent the statistical uncertainty in data, while the shaded band shows the total statistical and systematic uncertainty added in quadrature. |
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Figure 14-a:
Differential cross section unfolded to the parton level, absolute, as a function of the leading top quark ${p_{\mathrm {T}}}$ in the all-jet channel. The lower panel shows the ratio (MC/data)$-$1. The vertical bars on the data and in the ratio represent the statistical uncertainty in data, while the shaded band shows the total statistical and systematic uncertainty added in quadrature. |
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Figure 14-b:
Differential cross section unfolded to the parton level, normalized, as a function of the leading top quark ${p_{\mathrm {T}}}$ in the all-jet channel. The lower panel shows the ratio (MC/data)$-$1. The vertical bars on the data and in the ratio represent the statistical uncertainty in data, while the shaded band shows the total statistical and systematic uncertainty added in quadrature. |
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Figure 14-c:
Differential cross section unfolded to the parton level, absolute, as a function of the subleading top quark ${p_{\mathrm {T}}}$ in the all-jet channel. The lower panel shows the ratio (MC/data)$-$1. The vertical bars on the data and in the ratio represent the statistical uncertainty in data, while the shaded band shows the total statistical and systematic uncertainty added in quadrature. |
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Figure 14-d:
Differential cross section unfolded to the parton level, normalized, as a function of the subleading top quark ${p_{\mathrm {T}}}$ in the all-jet channel. The lower panel shows the ratio (MC/data)$-$1. The vertical bars on the data and in the ratio represent the statistical uncertainty in data, while the shaded band shows the total statistical and systematic uncertainty added in quadrature. |
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Figure 15:
Differential cross section unfolded to the parton level, absolute (left) and normalized (right), as a function of the leading (upper row) and subleading (lower row) top quark $ {| y |}$ in the all-jet channel. The lower panel shows the ratio (MC/data)$-$1. The vertical bars on the data and in the ratio represent the statistical uncertainty in data, while the shaded band shows the total statistical and systematic uncertainty added in quadrature. |
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Figure 15-a:
Differential cross section unfolded to the parton level, absolute, as a function of the leading top quark $ {| y |}$ in the all-jet channel. The lower panel shows the ratio (MC/data)$-$1. The vertical bars on the data and in the ratio represent the statistical uncertainty in data, while the shaded band shows the total statistical and systematic uncertainty added in quadrature. |
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Figure 15-b:
Differential cross section unfolded to the parton level, normalized, as a function of the leading top quark $ {| y |}$ in the all-jet channel. The lower panel shows the ratio (MC/data)$-$1. The vertical bars on the data and in the ratio represent the statistical uncertainty in data, while the shaded band shows the total statistical and systematic uncertainty added in quadrature. |
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Figure 15-c:
Differential cross section unfolded to the parton level, absolute, as a function of the subleading top quark $ {| y |}$ in the all-jet channel. The lower panel shows the ratio (MC/data)$-$1. The vertical bars on the data and in the ratio represent the statistical uncertainty in data, while the shaded band shows the total statistical and systematic uncertainty added in quadrature. |
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Figure 15-d:
Differential cross section unfolded to the parton level, normalized, as a function of the subleading top quark $ {| y |}$ in the all-jet channel. The lower panel shows the ratio (MC/data)$-$1. The vertical bars on the data and in the ratio represent the statistical uncertainty in data, while the shaded band shows the total statistical and systematic uncertainty added in quadrature. |
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Figure 16:
Differential cross section unfolded to the parton level, absolute (left) and normalized (right), as a function of $m^{{\mathrm{t} {}\mathrm{\bar{t}}}}$ (upper row), $ {p_{\mathrm {T}}} ^{{\mathrm{t} {}\mathrm{\bar{t}}}}$ (middle row), and $y^{{\mathrm{t} {}\mathrm{\bar{t}}}}$ (lower row) in the all-jet channel. The lower panel shows the ratio (MC/data)$-$1. The vertical bars on the data and in the ratio represent the statistical uncertainty in data, while the shaded band shows the total statistical and systematic uncertainty added in quadrature. |
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Figure 16-a:
Differential cross section unfolded to the parton level, absolute, as a function of $m^{{\mathrm{t} {}\mathrm{\bar{t}}}}$ in the all-jet channel. The lower panel shows the ratio (MC/data)$-$1. The vertical bars on the data and in the ratio represent the statistical uncertainty in data, while the shaded band shows the total statistical and systematic uncertainty added in quadrature. |
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Figure 16-b:
Differential cross section unfolded to the parton level, normalized, as a function of $m^{{\mathrm{t} {}\mathrm{\bar{t}}}}$ in the all-jet channel. The lower panel shows the ratio (MC/data)$-$1. The vertical bars on the data and in the ratio represent the statistical uncertainty in data, while the shaded band shows the total statistical and systematic uncertainty added in quadrature. |
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Figure 16-c:
Differential cross section unfolded to the parton level, absolute, as a function of $ {p_{\mathrm {T}}} ^{{\mathrm{t} {}\mathrm{\bar{t}}}}$ in the all-jet channel. The lower panel shows the ratio (MC/data)$-$1. The vertical bars on the data and in the ratio represent the statistical uncertainty in data, while the shaded band shows the total statistical and systematic uncertainty added in quadrature. |
png pdf |
Figure 16-d:
Differential cross section unfolded to the parton level, normalized, as a function of $ {p_{\mathrm {T}}} ^{{\mathrm{t} {}\mathrm{\bar{t}}}}$ in the all-jet channel. The lower panel shows the ratio (MC/data)$-$1. The vertical bars on the data and in the ratio represent the statistical uncertainty in data, while the shaded band shows the total statistical and systematic uncertainty added in quadrature. |
png pdf |
Figure 16-e:
Differential cross section unfolded to the parton level, absolute, as a function of $y^{{\mathrm{t} {}\mathrm{\bar{t}}}}$ in the all-jet channel. The lower panel shows the ratio (MC/data)$-$1. The vertical bars on the data and in the ratio represent the statistical uncertainty in data, while the shaded band shows the total statistical and systematic uncertainty added in quadrature. |
png pdf |
Figure 16-f:
Differential cross section unfolded to the parton level, normalized, as a function of $y^{{\mathrm{t} {}\mathrm{\bar{t}}}}$ in the all-jet channel. The lower panel shows the ratio (MC/data)$-$1. The vertical bars on the data and in the ratio represent the statistical uncertainty in data, while the shaded band shows the total statistical and systematic uncertainty added in quadrature. |
png pdf |
Figure 17:
Breakdown of the uncertainties in the absolute (left column) and normalized (right column) measurement at the particle level, as a function of the leading top quark ${p_{\mathrm {T}}}$ (upper row) and $ {| y |}$ (lower row) in the all-jet channel. The shaded band shows the statistical uncertainty, while the solid lines show the systematic uncertainties grouped in four categories: a) uncertainty due to pileup and the JES and JER of the large-$R$ jets, b) uncertainty due to flavor tagging of the subjets, c) uncertainty due to the modeling of the parton shower, and d) uncertainty due to the modeling of the hard scattering. |
png pdf |
Figure 17-a:
Breakdown of the uncertainties in the absolute measurement at the particle level, as a function of the leading top quark ${p_{\mathrm {T}}}$ in the all-jet channel. The shaded band shows the statistical uncertainty, while the solid lines show the systematic uncertainties grouped in four categories: a) uncertainty due to pileup and the JES and JER of the large-$R$ jets, b) uncertainty due to flavor tagging of the subjets, c) uncertainty due to the modeling of the parton shower, and d) uncertainty due to the modeling of the hard scattering. |
png pdf |
Figure 17-b:
Breakdown of the uncertainties in the normalized measurement at the particle level, as a function of the leading top quark ${p_{\mathrm {T}}}$ in the all-jet channel. The shaded band shows the statistical uncertainty, while the solid lines show the systematic uncertainties grouped in four categories: a) uncertainty due to pileup and the JES and JER of the large-$R$ jets, b) uncertainty due to flavor tagging of the subjets, c) uncertainty due to the modeling of the parton shower, and d) uncertainty due to the modeling of the hard scattering. |
png pdf |
Figure 17-c:
Breakdown of the uncertainties in the absolute measurement at the particle level, as a function of the leading top quark $ {| y |}$ in the all-jet channel. The shaded band shows the statistical uncertainty, while the solid lines show the systematic uncertainties grouped in four categories: a) uncertainty due to pileup and the JES and JER of the large-$R$ jets, b) uncertainty due to flavor tagging of the subjets, c) uncertainty due to the modeling of the parton shower, and d) uncertainty due to the modeling of the hard scattering. |
png pdf |
Figure 17-d:
Breakdown of the uncertainties in the normalized measurement at the particle level, as a function of the leading top quark $ {| y |}$ in the all-jet channel. The shaded band shows the statistical uncertainty, while the solid lines show the systematic uncertainties grouped in four categories: a) uncertainty due to pileup and the JES and JER of the large-$R$ jets, b) uncertainty due to flavor tagging of the subjets, c) uncertainty due to the modeling of the parton shower, and d) uncertainty due to the modeling of the hard scattering. |
png pdf |
Figure 18:
Breakdown of the uncertainties in the absolute (left column) and normalized (right column) measurement at the parton level, as a function of the leading top quark ${p_{\mathrm {T}}}$ (upper row) and $ {| y |}$ (lower row) in the all-jet channel. The shaded band shows the statistical uncertainty, while the solid lines show the systematic uncertainties grouped in four categories: a) uncertainty due to pileup and the JES and JER of the large-$R$ jets, b) uncertainty due to flavor tagging of the subjets, c) uncertainty due to the modeling of the parton shower, and d) uncertainty due to the modeling of the hard scattering. |
png pdf |
Figure 18-a:
Breakdown of the uncertainties in the absolute measurement at the parton level, as a function of the leading top quark ${p_{\mathrm {T}}}$ in the all-jet channel. The shaded band shows the statistical uncertainty, while the solid lines show the systematic uncertainties grouped in four categories: a) uncertainty due to pileup and the JES and JER of the large-$R$ jets, b) uncertainty due to flavor tagging of the subjets, c) uncertainty due to the modeling of the parton shower, and d) uncertainty due to the modeling of the hard scattering. |
png pdf |
Figure 18-b:
Breakdown of the uncertainties in the normalized measurement at the parton level, as a function of the leading top quark ${p_{\mathrm {T}}}$ in the all-jet channel. The shaded band shows the statistical uncertainty, while the solid lines show the systematic uncertainties grouped in four categories: a) uncertainty due to pileup and the JES and JER of the large-$R$ jets, b) uncertainty due to flavor tagging of the subjets, c) uncertainty due to the modeling of the parton shower, and d) uncertainty due to the modeling of the hard scattering. |
png pdf |
Figure 18-c:
Breakdown of the uncertainties in the absolute measurement at the parton level, as a function of the leading top quark $ {| y |}$ in the all-jet channel. The shaded band shows the statistical uncertainty, while the solid lines show the systematic uncertainties grouped in four categories: a) uncertainty due to pileup and the JES and JER of the large-$R$ jets, b) uncertainty due to flavor tagging of the subjets, c) uncertainty due to the modeling of the parton shower, and d) uncertainty due to the modeling of the hard scattering. |
png pdf |
Figure 18-d:
Breakdown of the uncertainties in the normalized measurement at the parton level, as a function of the leading top quark $ {| y |}$ in the all-jet channel. The shaded band shows the statistical uncertainty, while the solid lines show the systematic uncertainties grouped in four categories: a) uncertainty due to pileup and the JES and JER of the large-$R$ jets, b) uncertainty due to flavor tagging of the subjets, c) uncertainty due to the modeling of the parton shower, and d) uncertainty due to the modeling of the hard scattering. |
png pdf |
Figure 19:
Differential cross section measurements at the particle level, as a function of the particle-level t jet ${p_{\mathrm {T}}}$ (upper row) and $ {| y |}$ (lower row) for the $\ell $+jets channel. Both absolute (left column) and normalized (right column) cross sections are shown. The lower panel shows the ratio (MC/data)$-$1. The vertical bars on the data and in the ratio represent the statistical uncertainty in data, while the shaded band shows the total statistical and systematic uncertainty added in quadrature. |
png pdf |
Figure 19-a:
Differential cross section measurements at the particle level, as a function of the particle-level t jet ${p_{\mathrm {T}}}$ for the $\ell $+jets channel. The absolute cross section is shown. The lower panel shows the ratio (MC/data)$-$1. The vertical bars on the data and in the ratio represent the statistical uncertainty in data, while the shaded band shows the total statistical and systematic uncertainty added in quadrature. |
png pdf |
Figure 19-b:
Differential cross section measurements at the particle level, as a function of the particle-level t jet ${p_{\mathrm {T}}}$ for the $\ell $+jets channel. The normalized cross section is shown. The lower panel shows the ratio (MC/data)$-$1. The vertical bars on the data and in the ratio represent the statistical uncertainty in data, while the shaded band shows the total statistical and systematic uncertainty added in quadrature. |
png pdf |
Figure 19-c:
Differential cross section measurements at the particle level, as a function of the particle-level t jet $ {| y |}$ for the $\ell $+jets channel. The absolute cross section is shown. The lower panel shows the ratio (MC/data)$-$1. The vertical bars on the data and in the ratio represent the statistical uncertainty in data, while the shaded band shows the total statistical and systematic uncertainty added in quadrature. |
png pdf |
Figure 19-d:
Differential cross section measurements at the particle level, as a function of the particle-level t jet $ {| y |}$ for the $\ell $+jets channel. The normalized cross section is shown. The lower panel shows the ratio (MC/data)$-$1. The vertical bars on the data and in the ratio represent the statistical uncertainty in data, while the shaded band shows the total statistical and systematic uncertainty added in quadrature. |
png pdf |
Figure 20:
Differential cross section measurements at the parton level, as a function of the parton-level top quark ${p_{\mathrm {T}}}$ (upper row) and $ {| y |}$ (lower row) for the $\ell $+jets channel. Both absolute (left column) and normalized (right column) cross sections are shown. The lower panel shows the ratio (MC/data)$-$1. The vertical bars on the data and in the ratio represent the statistical uncertainty in data, while the shaded band shows the total statistical and systematic uncertainty added in quadrature. |
png pdf |
Figure 20-a:
Differential cross section measurements at the parton level, as a function of the parton-level top quark ${p_{\mathrm {T}}}$ for the $\ell $+jets channel. The absolute cross section is shown. The lower panel shows the ratio (MC/data)$-$1. The vertical bars on the data and in the ratio represent the statistical uncertainty in data, while the shaded band shows the total statistical and systematic uncertainty added in quadrature. |
png pdf |
Figure 20-b:
Differential cross section measurements at the parton level, as a function of the parton-level top quark ${p_{\mathrm {T}}}$ for the $\ell $+jets channel. The normalized cross section is shown. The lower panel shows the ratio (MC/data)$-$1. The vertical bars on the data and in the ratio represent the statistical uncertainty in data, while the shaded band shows the total statistical and systematic uncertainty added in quadrature. |
png pdf |
Figure 20-c:
Differential cross section measurements at the parton level, as a function of the parton-level top quark $ {| y |}$ for the $\ell $+jets channel. The absolute cross section is shown. The lower panel shows the ratio (MC/data)$-$1. The vertical bars on the data and in the ratio represent the statistical uncertainty in data, while the shaded band shows the total statistical and systematic uncertainty added in quadrature. |
png pdf |
Figure 20-d:
Differential cross section measurements at the parton level, as a function of the parton-level top quark $ {| y |}$ for the $\ell $+jets channel. The normalized cross section is shown. The lower panel shows the ratio (MC/data)$-$1. The vertical bars on the data and in the ratio represent the statistical uncertainty in data, while the shaded band shows the total statistical and systematic uncertainty added in quadrature. |
png pdf |
Figure 21:
Breakdown of the sources of systematic uncertainty affecting the differential cross section measurements in the $\ell $+jets channel at the particle level as a function of the particle-level t jet ${p_{\mathrm {T}}}$ (upper row) or $ {| y |}$ (lower row). Both the systematic uncertainties in the absolute (left column) and the normalized (right column) cross sections are shown. "JES+JER+b tagging" includes uncertainties due to the JES, JER, and small-$R$ jet b tagging efficiency; "t tagging" is the uncertainty associated with the large-$R$ jet t tagging efficiency; "Other experimental" includes the uncertainties originating from the background estimate, pileup modeling, lepton identification and trigger efficiency, and measurement of the integrated luminosity; "Parton shower" includes contributions from ISR and FSR, underlying event tune, ME-PS matching, and color reconnection; "Hard scattering" includes the uncertainty due to PDFs, as well as renormalization and factorization scales. The grey bands shows the statistical uncertainty. |
png pdf |
Figure 21-a:
Breakdown of the sources of systematic uncertainty affecting the differential cross section measurements in the $\ell $+jets channel at the particle level as a function of the particle-level t jet ${p_{\mathrm {T}}}$. Systematic uncertainties in the absolute cross section is shown. "JES+JER+b tagging" includes uncertainties due to the JES, JER, and small-$R$ jet b tagging efficiency; "t tagging" is the uncertainty associated with the large-$R$ jet t tagging efficiency; "Other experimental" includes the uncertainties originating from the background estimate, pileup modeling, lepton identification and trigger efficiency, and measurement of the integrated luminosity; "Parton shower" includes contributions from ISR and FSR, underlying event tune, ME-PS matching, and color reconnection; "Hard scattering" includes the uncertainty due to PDFs, as well as renormalization and factorization scales. The grey bands shows the statistical uncertainty. |
png pdf |
Figure 21-b:
Breakdown of the sources of systematic uncertainty affecting the differential cross section measurements in the $\ell $+jets channel at the particle level as a function of the particle-level t jet ${p_{\mathrm {T}}}$. Systematic uncertainties in the normalized cross section is shown. "JES+JER+b tagging" includes uncertainties due to the JES, JER, and small-$R$ jet b tagging efficiency; "t tagging" is the uncertainty associated with the large-$R$ jet t tagging efficiency; "Other experimental" includes the uncertainties originating from the background estimate, pileup modeling, lepton identification and trigger efficiency, and measurement of the integrated luminosity; "Parton shower" includes contributions from ISR and FSR, underlying event tune, ME-PS matching, and color reconnection; "Hard scattering" includes the uncertainty due to PDFs, as well as renormalization and factorization scales. The grey bands shows the statistical uncertainty. |
png pdf |
Figure 21-c:
Breakdown of the sources of systematic uncertainty affecting the differential cross section measurements in the $\ell $+jets channel at the particle level as a function of the particle-level t jet $ {| y |}$. Systematic uncertainties in the absolute cross section is shown. "JES+JER+b tagging" includes uncertainties due to the JES, JER, and small-$R$ jet b tagging efficiency; "t tagging" is the uncertainty associated with the large-$R$ jet t tagging efficiency; "Other experimental" includes the uncertainties originating from the background estimate, pileup modeling, lepton identification and trigger efficiency, and measurement of the integrated luminosity; "Parton shower" includes contributions from ISR and FSR, underlying event tune, ME-PS matching, and color reconnection; "Hard scattering" includes the uncertainty due to PDFs, as well as renormalization and factorization scales. The grey bands shows the statistical uncertainty. |
png pdf |
Figure 21-d:
Breakdown of the sources of systematic uncertainty affecting the differential cross section measurements in the $\ell $+jets channel at the particle level as a function of the particle-level t jet $ {| y |}$. Systematic uncertainties in the normalized cross section is shown. "JES+JER+b tagging" includes uncertainties due to the JES, JER, and small-$R$ jet b tagging efficiency; "t tagging" is the uncertainty associated with the large-$R$ jet t tagging efficiency; "Other experimental" includes the uncertainties originating from the background estimate, pileup modeling, lepton identification and trigger efficiency, and measurement of the integrated luminosity; "Parton shower" includes contributions from ISR and FSR, underlying event tune, ME-PS matching, and color reconnection; "Hard scattering" includes the uncertainty due to PDFs, as well as renormalization and factorization scales. The grey bands shows the statistical uncertainty. |
png pdf |
Figure 22:
Breakdown of the sources of systematic uncertainty affecting the differential cross section measurements in the $\ell $+jets channel at the parton level as a function of the top quark ${p_{\mathrm {T}}}$ (upper row) or $ {| y |}$ (lower row). Both the systematic uncertainties in the absolute (left column) and the normalized (right column) cross sections are shown. "JES+JER+b tagging" includes uncertainties due to the JES, JER, and small-$R$ jet b tagging efficiency; "t tagging" is the uncertainty associated with the large-$R$ jet t tagging efficiency; "Other experimental" includes the uncertainties originating from the background estimate, pileup modeling, lepton identification and trigger efficiency, and measurement of the integrated luminosity; "Parton shower" includes contributions from ISR and FSR, underlying event tune, ME-PS matching, and color reconnection; "Hard scattering" includes the uncertainty due to PDFs, as well as renormalization and factorization scales. |
png pdf |
Figure 22-a:
Breakdown of the sources of systematic uncertainty affecting the differential cross section measurements in the $\ell $+jets channel at the parton level as a function of the top quark ${p_{\mathrm {T}}}$. Systematic uncertainties in the absolute cross section is shown. "JES+JER+b tagging" includes uncertainties due to the JES, JER, and small-$R$ jet b tagging efficiency; "t tagging" is the uncertainty associated with the large-$R$ jet t tagging efficiency; "Other experimental" includes the uncertainties originating from the background estimate, pileup modeling, lepton identification and trigger efficiency, and measurement of the integrated luminosity; "Parton shower" includes contributions from ISR and FSR, underlying event tune, ME-PS matching, and color reconnection; "Hard scattering" includes the uncertainty due to PDFs, as well as renormalization and factorization scales. |
png pdf |
Figure 22-b:
Breakdown of the sources of systematic uncertainty affecting the differential cross section measurements in the $\ell $+jets channel at the parton level as a function of the top quark ${p_{\mathrm {T}}}$. Systematic uncertainties in the normalized cross section is shown. "JES+JER+b tagging" includes uncertainties due to the JES, JER, and small-$R$ jet b tagging efficiency; "t tagging" is the uncertainty associated with the large-$R$ jet t tagging efficiency; "Other experimental" includes the uncertainties originating from the background estimate, pileup modeling, lepton identification and trigger efficiency, and measurement of the integrated luminosity; "Parton shower" includes contributions from ISR and FSR, underlying event tune, ME-PS matching, and color reconnection; "Hard scattering" includes the uncertainty due to PDFs, as well as renormalization and factorization scales. |
png pdf |
Figure 22-c:
Breakdown of the sources of systematic uncertainty affecting the differential cross section measurements in the $\ell $+jets channel at the parton level as a function of the top quark $ {| y |}$. Systematic uncertainties in the absolute cross section is shown. "JES+JER+b tagging" includes uncertainties due to the JES, JER, and small-$R$ jet b tagging efficiency; "t tagging" is the uncertainty associated with the large-$R$ jet t tagging efficiency; "Other experimental" includes the uncertainties originating from the background estimate, pileup modeling, lepton identification and trigger efficiency, and measurement of the integrated luminosity; "Parton shower" includes contributions from ISR and FSR, underlying event tune, ME-PS matching, and color reconnection; "Hard scattering" includes the uncertainty due to PDFs, as well as renormalization and factorization scales. |
png pdf |
Figure 22-d:
Breakdown of the sources of systematic uncertainty affecting the differential cross section measurements in the $\ell $+jets channel at the parton level as a function of the top quark $ {| y |}$. Systematic uncertainties in the normalized cross section is shown. "JES+JER+b tagging" includes uncertainties due to the JES, JER, and small-$R$ jet b tagging efficiency; "t tagging" is the uncertainty associated with the large-$R$ jet t tagging efficiency; "Other experimental" includes the uncertainties originating from the background estimate, pileup modeling, lepton identification and trigger efficiency, and measurement of the integrated luminosity; "Parton shower" includes contributions from ISR and FSR, underlying event tune, ME-PS matching, and color reconnection; "Hard scattering" includes the uncertainty due to PDFs, as well as renormalization and factorization scales. |
| Tables | |
png pdf |
Table 1:
Fitted values of the nuisance parameters for the fit to data in the SR$_{\mathrm {A}}$ in the all-jet channel. |
png pdf |
Table 2:
Observed and predicted event yields with their respective statistical uncertainties in the signal region SR for the all-jet channel. The ${\mathrm{t} {}\mathrm{\bar{t}}}$ and multijet yields are obtained from the fit in SR$_{\mathrm {A}}$. |
png pdf |
Table 3:
Posterior signal and background event yields in the 0t, 1t0b, and 1t1b categories, together with the observed yields in data. The uncertainties include all posterior experimental contributions. |
| Summary |
| A measurement was presented of the top quark pair ($\mathrm{t\bar{t}}$) cross section for top quarks with high transverse momentum (${p_{\mathrm{T}}}$) produced in pp collisions at 13 TeV. The measurement uses events in which either one or both top quarks decay to jets, and where the decay products cannot be resolved but are instead clustered in a single large-radius ($R$) jet with ${p_{\mathrm{T}}} > $ 400 GeV. The all-jet final state contains two such large-$R$ jets, while the lepton+jets final state is identified through the presence of an electron or muon, a b-tagged jet, missing transverse momentum from the escaping neutrino, and a single t-tagged, large-$R$ jet. The measurement utilizes a larger data set relative to previous results to explore a wider phase space of $\mathrm{t\bar{t}}$ production and to elucidate any discrepancies with theory that were reported in previous publications. For the all-jet channel, absolute and normalized differential cross sections are measured as functions of the leading and subleading top quark ${p_{\mathrm{T}}}$ and absolute rapidity $|y|$, and as a function of the invariant mass, ${p_{\mathrm{T}}}$, and $y$ of the $\mathrm{t\bar{t}}$ system, unfolded to the particle level within a fiducial phase space and to the parton level. For the lepton+jets channel, the differential cross sections are measured as functions of the ${p_{\mathrm{T}}}$ and $|y|$ of the top quark that decays according to $\mathrm{t} \to \mathrm{W} \mathrm{b} \to \mathrm{q} \mathrm{\bar{q}}' \mathrm{b}$, both at the particle and parton levels. The results are compared with theory using the POWHEG matrix element generator, interfaced to either PYTHIA or HERWIG++ for the underlying event and parton showering, and with the MadGraph5+MCatNLO matrix element generator, interfaced to PYTHIA. All the models significantly exceed the absolute cross section in the phase spaces of the measurements. However, the normalized differential cross sections are consistently well described. The most notable discrepancies are observed in the invariant mass of the $\mathrm{t\bar{t}}$ system and the subleading top quark ${p_{\mathrm{T}}}$ in the all-jet channel, where theory predicts a higher cross section at high mass and at high ${p_{\mathrm{T}}}$, respectively. To further investigate the severity of this discrepancy, more data are needed to enhance the statistical significance of the measurement in this region of phase space. |
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