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| CMS-PAS-TOP-17-001 | ||
| Measurement of the $\mathrm{t}\bar{\mathrm{t}}$ production cross section, the top quark mass, and the strong coupling constant using events in the dilepton final state in pp collisions at $\sqrt{s}=$ 13 TeV | ||
| CMS Collaboration | ||
| September 2018 | ||
| Abstract: A measurement of the top quark-antiquark ($\mathrm{t}\bar{\mathrm{t}}$) pair production cross section in proton-proton collisions at a centre-of-mass energy of 13 TeV is presented. The data correspond to an integrated luminosity of 35.9 fb$^{-1}$, recorded by the CMS experiment at the CERN LHC in 2016. Events containing two charged leptons are selected and the cross section is measured from a likelihood fit. For a fixed top quark mass parameter in the simulation of 172.5 GeV the fit yields a measured cross section $\sigma_{\mathrm{t}\bar{\mathrm{t}}}= $ 803 $\pm$ 2 (stat) $\pm$ 25 (syst) $\pm$ 20 (lum) pb, in agreement with the expectation from the standard model calculation at next-to-next-to-leading order (NNLO). A simultaneous fit of the cross section and the top quark mass parameter in the simulation is performed. The resulting cross section is used, together with the NNLO theory prediction, to determine the top quark mass and to extract a value of the strong coupling constant. | ||
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Links:
CDS record (PDF) ;
CADI line (restricted) ;
These preliminary results are superseded in this paper, EPJC 79 (2019) 368. The superseded preliminary plots can be found here. |
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| Figures | |
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Figure 1:
Transverse momentum (left) and pseudorapidity (right) of leading (upper) and subleading (middle) lepton in the $\mathrm {e^{\mp}}\mu ^{\pm}$ channel after the event selection after the event selection for the data (points) and the predictions for the signal and various background from the simulation (shaded histograms). The lower row shows the jet (left) and b jet (right) multiplicity distributions. The vertical bars on the points represent the statistical uncertainties in the data. The hatched bands correspond to the systematic uncertainty in the ${{\mathrm {t}\overline {\mathrm {t}}}}$ signal MC simulation. The uncertainties in the integrated luminosity and background contributions are not included. The ratios of data to the sum of the predicted yields are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
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Figure 1-a:
Transverse momentum (left) and pseudorapidity (right) of leading (upper) and subleading (middle) lepton in the $\mathrm {e^{\mp}}\mu ^{\pm}$ channel after the event selection after the event selection for the data (points) and the predictions for the signal and various background from the simulation (shaded histograms). The lower row shows the jet (left) and b jet (right) multiplicity distributions. The vertical bars on the points represent the statistical uncertainties in the data. The hatched bands correspond to the systematic uncertainty in the ${{\mathrm {t}\overline {\mathrm {t}}}}$ signal MC simulation. The uncertainties in the integrated luminosity and background contributions are not included. The ratios of data to the sum of the predicted yields are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
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Figure 1-b:
Transverse momentum (left) and pseudorapidity (right) of leading (upper) and subleading (middle) lepton in the $\mathrm {e^{\mp}}\mu ^{\pm}$ channel after the event selection after the event selection for the data (points) and the predictions for the signal and various background from the simulation (shaded histograms). The lower row shows the jet (left) and b jet (right) multiplicity distributions. The vertical bars on the points represent the statistical uncertainties in the data. The hatched bands correspond to the systematic uncertainty in the ${{\mathrm {t}\overline {\mathrm {t}}}}$ signal MC simulation. The uncertainties in the integrated luminosity and background contributions are not included. The ratios of data to the sum of the predicted yields are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
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Figure 1-c:
Transverse momentum (left) and pseudorapidity (right) of leading (upper) and subleading (middle) lepton in the $\mathrm {e^{\mp}}\mu ^{\pm}$ channel after the event selection after the event selection for the data (points) and the predictions for the signal and various background from the simulation (shaded histograms). The lower row shows the jet (left) and b jet (right) multiplicity distributions. The vertical bars on the points represent the statistical uncertainties in the data. The hatched bands correspond to the systematic uncertainty in the ${{\mathrm {t}\overline {\mathrm {t}}}}$ signal MC simulation. The uncertainties in the integrated luminosity and background contributions are not included. The ratios of data to the sum of the predicted yields are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
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Figure 1-d:
Transverse momentum (left) and pseudorapidity (right) of leading (upper) and subleading (middle) lepton in the $\mathrm {e^{\mp}}\mu ^{\pm}$ channel after the event selection after the event selection for the data (points) and the predictions for the signal and various background from the simulation (shaded histograms). The lower row shows the jet (left) and b jet (right) multiplicity distributions. The vertical bars on the points represent the statistical uncertainties in the data. The hatched bands correspond to the systematic uncertainty in the ${{\mathrm {t}\overline {\mathrm {t}}}}$ signal MC simulation. The uncertainties in the integrated luminosity and background contributions are not included. The ratios of data to the sum of the predicted yields are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
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Figure 1-e:
Transverse momentum (left) and pseudorapidity (right) of leading (upper) and subleading (middle) lepton in the $\mathrm {e^{\mp}}\mu ^{\pm}$ channel after the event selection after the event selection for the data (points) and the predictions for the signal and various background from the simulation (shaded histograms). The lower row shows the jet (left) and b jet (right) multiplicity distributions. The vertical bars on the points represent the statistical uncertainties in the data. The hatched bands correspond to the systematic uncertainty in the ${{\mathrm {t}\overline {\mathrm {t}}}}$ signal MC simulation. The uncertainties in the integrated luminosity and background contributions are not included. The ratios of data to the sum of the predicted yields are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
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Figure 1-f:
Transverse momentum (left) and pseudorapidity (right) of leading (upper) and subleading (middle) lepton in the $\mathrm {e^{\mp}}\mu ^{\pm}$ channel after the event selection after the event selection for the data (points) and the predictions for the signal and various background from the simulation (shaded histograms). The lower row shows the jet (left) and b jet (right) multiplicity distributions. The vertical bars on the points represent the statistical uncertainties in the data. The hatched bands correspond to the systematic uncertainty in the ${{\mathrm {t}\overline {\mathrm {t}}}}$ signal MC simulation. The uncertainties in the integrated luminosity and background contributions are not included. The ratios of data to the sum of the predicted yields are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
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Figure 2:
Transverse momentum (left) and pseudorapidity (right) of leading (upper) and subleading (middle) lepton in the $\mu ^+\mu ^-$ channel after the event selection after the event selection for the data (points) and the predictions for the signal and various background from the simulation (shaded histograms). The lower row shows the jet (left) and b jet (right) multiplicity distributions. The vertical bars on the points represent the statistical uncertainties in the data. The hatched bands correspond to the systematic uncertainty in the ${{\mathrm {t}\overline {\mathrm {t}}}}$ signal MC simulation. The uncertainties in the integrated luminosity and background contributions are not included. The ratios of data to the sum of the predicted yields are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
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Figure 2-a:
Transverse momentum (left) and pseudorapidity (right) of leading (upper) and subleading (middle) lepton in the $\mu ^+\mu ^-$ channel after the event selection after the event selection for the data (points) and the predictions for the signal and various background from the simulation (shaded histograms). The lower row shows the jet (left) and b jet (right) multiplicity distributions. The vertical bars on the points represent the statistical uncertainties in the data. The hatched bands correspond to the systematic uncertainty in the ${{\mathrm {t}\overline {\mathrm {t}}}}$ signal MC simulation. The uncertainties in the integrated luminosity and background contributions are not included. The ratios of data to the sum of the predicted yields are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
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Figure 2-b:
Transverse momentum (left) and pseudorapidity (right) of leading (upper) and subleading (middle) lepton in the $\mu ^+\mu ^-$ channel after the event selection after the event selection for the data (points) and the predictions for the signal and various background from the simulation (shaded histograms). The lower row shows the jet (left) and b jet (right) multiplicity distributions. The vertical bars on the points represent the statistical uncertainties in the data. The hatched bands correspond to the systematic uncertainty in the ${{\mathrm {t}\overline {\mathrm {t}}}}$ signal MC simulation. The uncertainties in the integrated luminosity and background contributions are not included. The ratios of data to the sum of the predicted yields are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
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Figure 2-c:
Transverse momentum (left) and pseudorapidity (right) of leading (upper) and subleading (middle) lepton in the $\mu ^+\mu ^-$ channel after the event selection after the event selection for the data (points) and the predictions for the signal and various background from the simulation (shaded histograms). The lower row shows the jet (left) and b jet (right) multiplicity distributions. The vertical bars on the points represent the statistical uncertainties in the data. The hatched bands correspond to the systematic uncertainty in the ${{\mathrm {t}\overline {\mathrm {t}}}}$ signal MC simulation. The uncertainties in the integrated luminosity and background contributions are not included. The ratios of data to the sum of the predicted yields are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
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Figure 2-d:
Transverse momentum (left) and pseudorapidity (right) of leading (upper) and subleading (middle) lepton in the $\mu ^+\mu ^-$ channel after the event selection after the event selection for the data (points) and the predictions for the signal and various background from the simulation (shaded histograms). The lower row shows the jet (left) and b jet (right) multiplicity distributions. The vertical bars on the points represent the statistical uncertainties in the data. The hatched bands correspond to the systematic uncertainty in the ${{\mathrm {t}\overline {\mathrm {t}}}}$ signal MC simulation. The uncertainties in the integrated luminosity and background contributions are not included. The ratios of data to the sum of the predicted yields are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
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Figure 2-e:
Transverse momentum (left) and pseudorapidity (right) of leading (upper) and subleading (middle) lepton in the $\mu ^+\mu ^-$ channel after the event selection after the event selection for the data (points) and the predictions for the signal and various background from the simulation (shaded histograms). The lower row shows the jet (left) and b jet (right) multiplicity distributions. The vertical bars on the points represent the statistical uncertainties in the data. The hatched bands correspond to the systematic uncertainty in the ${{\mathrm {t}\overline {\mathrm {t}}}}$ signal MC simulation. The uncertainties in the integrated luminosity and background contributions are not included. The ratios of data to the sum of the predicted yields are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
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Figure 2-f:
Transverse momentum (left) and pseudorapidity (right) of leading (upper) and subleading (middle) lepton in the $\mu ^+\mu ^-$ channel after the event selection after the event selection for the data (points) and the predictions for the signal and various background from the simulation (shaded histograms). The lower row shows the jet (left) and b jet (right) multiplicity distributions. The vertical bars on the points represent the statistical uncertainties in the data. The hatched bands correspond to the systematic uncertainty in the ${{\mathrm {t}\overline {\mathrm {t}}}}$ signal MC simulation. The uncertainties in the integrated luminosity and background contributions are not included. The ratios of data to the sum of the predicted yields are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
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Figure 3:
Transverse momentum (left) and pseudorapidity (right) of leading (upper) and subleading (middle) lepton in the $\mathrm {e^+e^-}$ channel after the event selection after the event selection for the data (points) and the predictions for the signal and various background from the simulation (shaded histograms). The lower row shows the jet (left) and b jet (right) multiplicity distributions. The vertical bars on the points represent the statistical uncertainties in the data. The hatched bands correspond to the systematic uncertainty in the ${{\mathrm {t}\overline {\mathrm {t}}}}$ signal MC simulation. The uncertainties in the integrated luminosity and background contributions are not included. The ratios of data to the sum of the predicted yields are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
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Figure 3-a:
Transverse momentum (left) and pseudorapidity (right) of leading (upper) and subleading (middle) lepton in the $\mathrm {e^+e^-}$ channel after the event selection after the event selection for the data (points) and the predictions for the signal and various background from the simulation (shaded histograms). The lower row shows the jet (left) and b jet (right) multiplicity distributions. The vertical bars on the points represent the statistical uncertainties in the data. The hatched bands correspond to the systematic uncertainty in the ${{\mathrm {t}\overline {\mathrm {t}}}}$ signal MC simulation. The uncertainties in the integrated luminosity and background contributions are not included. The ratios of data to the sum of the predicted yields are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
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Figure 3-b:
Transverse momentum (left) and pseudorapidity (right) of leading (upper) and subleading (middle) lepton in the $\mathrm {e^+e^-}$ channel after the event selection after the event selection for the data (points) and the predictions for the signal and various background from the simulation (shaded histograms). The lower row shows the jet (left) and b jet (right) multiplicity distributions. The vertical bars on the points represent the statistical uncertainties in the data. The hatched bands correspond to the systematic uncertainty in the ${{\mathrm {t}\overline {\mathrm {t}}}}$ signal MC simulation. The uncertainties in the integrated luminosity and background contributions are not included. The ratios of data to the sum of the predicted yields are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
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Figure 3-c:
Transverse momentum (left) and pseudorapidity (right) of leading (upper) and subleading (middle) lepton in the $\mathrm {e^+e^-}$ channel after the event selection after the event selection for the data (points) and the predictions for the signal and various background from the simulation (shaded histograms). The lower row shows the jet (left) and b jet (right) multiplicity distributions. The vertical bars on the points represent the statistical uncertainties in the data. The hatched bands correspond to the systematic uncertainty in the ${{\mathrm {t}\overline {\mathrm {t}}}}$ signal MC simulation. The uncertainties in the integrated luminosity and background contributions are not included. The ratios of data to the sum of the predicted yields are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
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Figure 3-d:
Transverse momentum (left) and pseudorapidity (right) of leading (upper) and subleading (middle) lepton in the $\mathrm {e^+e^-}$ channel after the event selection after the event selection for the data (points) and the predictions for the signal and various background from the simulation (shaded histograms). The lower row shows the jet (left) and b jet (right) multiplicity distributions. The vertical bars on the points represent the statistical uncertainties in the data. The hatched bands correspond to the systematic uncertainty in the ${{\mathrm {t}\overline {\mathrm {t}}}}$ signal MC simulation. The uncertainties in the integrated luminosity and background contributions are not included. The ratios of data to the sum of the predicted yields are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
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Figure 3-e:
Transverse momentum (left) and pseudorapidity (right) of leading (upper) and subleading (middle) lepton in the $\mathrm {e^+e^-}$ channel after the event selection after the event selection for the data (points) and the predictions for the signal and various background from the simulation (shaded histograms). The lower row shows the jet (left) and b jet (right) multiplicity distributions. The vertical bars on the points represent the statistical uncertainties in the data. The hatched bands correspond to the systematic uncertainty in the ${{\mathrm {t}\overline {\mathrm {t}}}}$ signal MC simulation. The uncertainties in the integrated luminosity and background contributions are not included. The ratios of data to the sum of the predicted yields are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
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Figure 3-f:
Transverse momentum (left) and pseudorapidity (right) of leading (upper) and subleading (middle) lepton in the $\mathrm {e^+e^-}$ channel after the event selection after the event selection for the data (points) and the predictions for the signal and various background from the simulation (shaded histograms). The lower row shows the jet (left) and b jet (right) multiplicity distributions. The vertical bars on the points represent the statistical uncertainties in the data. The hatched bands correspond to the systematic uncertainty in the ${{\mathrm {t}\overline {\mathrm {t}}}}$ signal MC simulation. The uncertainties in the integrated luminosity and background contributions are not included. The ratios of data to the sum of the predicted yields are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
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Figure 4:
Kinematic distributions in the $\mathrm {e^{\mp}}\mu ^{\pm}$ channel after the fit of the simulation to the data. In the left column events with zero or three or more b-tagged jets are shown. The middle (right) columns show events with exactly one (two) b-tagged jets. Events with zero, one, two, or three additional non-b-tagged jets are shown in the first, second, third and fourth row, respectively. For events with at least one additional non-b-tagged jet, the transverse momentum distributions of the jet with the smallest transverse momentum in the respective category is considered. The hatched bands correspond to the total uncertainty in the sum of the predicted yields including all correlations. The ratios of the data to the sum of the simulated yields after the fit are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
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Figure 4-a:
Kinematic distributions in the $\mathrm {e^{\mp}}\mu ^{\pm}$ channel after the fit of the simulation to the data. In the left column events with zero or three or more b-tagged jets are shown. The middle (right) columns show events with exactly one (two) b-tagged jets. Events with zero, one, two, or three additional non-b-tagged jets are shown in the first, second, third and fourth row, respectively. For events with at least one additional non-b-tagged jet, the transverse momentum distributions of the jet with the smallest transverse momentum in the respective category is considered. The hatched bands correspond to the total uncertainty in the sum of the predicted yields including all correlations. The ratios of the data to the sum of the simulated yields after the fit are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
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Figure 4-b:
Kinematic distributions in the $\mathrm {e^{\mp}}\mu ^{\pm}$ channel after the fit of the simulation to the data. In the left column events with zero or three or more b-tagged jets are shown. The middle (right) columns show events with exactly one (two) b-tagged jets. Events with zero, one, two, or three additional non-b-tagged jets are shown in the first, second, third and fourth row, respectively. For events with at least one additional non-b-tagged jet, the transverse momentum distributions of the jet with the smallest transverse momentum in the respective category is considered. The hatched bands correspond to the total uncertainty in the sum of the predicted yields including all correlations. The ratios of the data to the sum of the simulated yields after the fit are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
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Figure 4-c:
Kinematic distributions in the $\mathrm {e^{\mp}}\mu ^{\pm}$ channel after the fit of the simulation to the data. In the left column events with zero or three or more b-tagged jets are shown. The middle (right) columns show events with exactly one (two) b-tagged jets. Events with zero, one, two, or three additional non-b-tagged jets are shown in the first, second, third and fourth row, respectively. For events with at least one additional non-b-tagged jet, the transverse momentum distributions of the jet with the smallest transverse momentum in the respective category is considered. The hatched bands correspond to the total uncertainty in the sum of the predicted yields including all correlations. The ratios of the data to the sum of the simulated yields after the fit are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
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Figure 4-d:
Kinematic distributions in the $\mathrm {e^{\mp}}\mu ^{\pm}$ channel after the fit of the simulation to the data. In the left column events with zero or three or more b-tagged jets are shown. The middle (right) columns show events with exactly one (two) b-tagged jets. Events with zero, one, two, or three additional non-b-tagged jets are shown in the first, second, third and fourth row, respectively. For events with at least one additional non-b-tagged jet, the transverse momentum distributions of the jet with the smallest transverse momentum in the respective category is considered. The hatched bands correspond to the total uncertainty in the sum of the predicted yields including all correlations. The ratios of the data to the sum of the simulated yields after the fit are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
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Figure 4-e:
Kinematic distributions in the $\mathrm {e^{\mp}}\mu ^{\pm}$ channel after the fit of the simulation to the data. In the left column events with zero or three or more b-tagged jets are shown. The middle (right) columns show events with exactly one (two) b-tagged jets. Events with zero, one, two, or three additional non-b-tagged jets are shown in the first, second, third and fourth row, respectively. For events with at least one additional non-b-tagged jet, the transverse momentum distributions of the jet with the smallest transverse momentum in the respective category is considered. The hatched bands correspond to the total uncertainty in the sum of the predicted yields including all correlations. The ratios of the data to the sum of the simulated yields after the fit are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
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Figure 4-f:
Kinematic distributions in the $\mathrm {e^{\mp}}\mu ^{\pm}$ channel after the fit of the simulation to the data. In the left column events with zero or three or more b-tagged jets are shown. The middle (right) columns show events with exactly one (two) b-tagged jets. Events with zero, one, two, or three additional non-b-tagged jets are shown in the first, second, third and fourth row, respectively. For events with at least one additional non-b-tagged jet, the transverse momentum distributions of the jet with the smallest transverse momentum in the respective category is considered. The hatched bands correspond to the total uncertainty in the sum of the predicted yields including all correlations. The ratios of the data to the sum of the simulated yields after the fit are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
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Figure 4-g:
Kinematic distributions in the $\mathrm {e^{\mp}}\mu ^{\pm}$ channel after the fit of the simulation to the data. In the left column events with zero or three or more b-tagged jets are shown. The middle (right) columns show events with exactly one (two) b-tagged jets. Events with zero, one, two, or three additional non-b-tagged jets are shown in the first, second, third and fourth row, respectively. For events with at least one additional non-b-tagged jet, the transverse momentum distributions of the jet with the smallest transverse momentum in the respective category is considered. The hatched bands correspond to the total uncertainty in the sum of the predicted yields including all correlations. The ratios of the data to the sum of the simulated yields after the fit are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
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Figure 4-h:
Kinematic distributions in the $\mathrm {e^{\mp}}\mu ^{\pm}$ channel after the fit of the simulation to the data. In the left column events with zero or three or more b-tagged jets are shown. The middle (right) columns show events with exactly one (two) b-tagged jets. Events with zero, one, two, or three additional non-b-tagged jets are shown in the first, second, third and fourth row, respectively. For events with at least one additional non-b-tagged jet, the transverse momentum distributions of the jet with the smallest transverse momentum in the respective category is considered. The hatched bands correspond to the total uncertainty in the sum of the predicted yields including all correlations. The ratios of the data to the sum of the simulated yields after the fit are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
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Figure 4-i:
Kinematic distributions in the $\mathrm {e^{\mp}}\mu ^{\pm}$ channel after the fit of the simulation to the data. In the left column events with zero or three or more b-tagged jets are shown. The middle (right) columns show events with exactly one (two) b-tagged jets. Events with zero, one, two, or three additional non-b-tagged jets are shown in the first, second, third and fourth row, respectively. For events with at least one additional non-b-tagged jet, the transverse momentum distributions of the jet with the smallest transverse momentum in the respective category is considered. The hatched bands correspond to the total uncertainty in the sum of the predicted yields including all correlations. The ratios of the data to the sum of the simulated yields after the fit are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
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Figure 4-j:
Kinematic distributions in the $\mathrm {e^{\mp}}\mu ^{\pm}$ channel after the fit of the simulation to the data. In the left column events with zero or three or more b-tagged jets are shown. The middle (right) columns show events with exactly one (two) b-tagged jets. Events with zero, one, two, or three additional non-b-tagged jets are shown in the first, second, third and fourth row, respectively. For events with at least one additional non-b-tagged jet, the transverse momentum distributions of the jet with the smallest transverse momentum in the respective category is considered. The hatched bands correspond to the total uncertainty in the sum of the predicted yields including all correlations. The ratios of the data to the sum of the simulated yields after the fit are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
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Figure 4-k:
Kinematic distributions in the $\mathrm {e^{\mp}}\mu ^{\pm}$ channel after the fit of the simulation to the data. In the left column events with zero or three or more b-tagged jets are shown. The middle (right) columns show events with exactly one (two) b-tagged jets. Events with zero, one, two, or three additional non-b-tagged jets are shown in the first, second, third and fourth row, respectively. For events with at least one additional non-b-tagged jet, the transverse momentum distributions of the jet with the smallest transverse momentum in the respective category is considered. The hatched bands correspond to the total uncertainty in the sum of the predicted yields including all correlations. The ratios of the data to the sum of the simulated yields after the fit are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
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Figure 4-l:
Kinematic distributions in the $\mathrm {e^{\mp}}\mu ^{\pm}$ channel after the fit of the simulation to the data. In the left column events with zero or three or more b-tagged jets are shown. The middle (right) columns show events with exactly one (two) b-tagged jets. Events with zero, one, two, or three additional non-b-tagged jets are shown in the first, second, third and fourth row, respectively. For events with at least one additional non-b-tagged jet, the transverse momentum distributions of the jet with the smallest transverse momentum in the respective category is considered. The hatched bands correspond to the total uncertainty in the sum of the predicted yields including all correlations. The ratios of the data to the sum of the simulated yields after the fit are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
png pdf |
Figure 5:
Kinematic distributions in the $\mu ^+\mu ^-$ channel after the fit of the simulation to the data. The left (right) columns show events with exactly one (two) b-tagged jets. Events with zero, one, two, or three additional non-b-tagged jets are shown in the first, second, third and fourth row, respectively. For events with at least one additional non-b-tagged jet, the transverse momentum distributions of the jet with the smallest transverse momentum in the respective category is considered. The hatched bands correspond to the total uncertainty in the sum of the predicted yields including all correlations. The ratios of the data to the sum of the simulated yields after the fit are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
png pdf |
Figure 5-a:
Kinematic distributions in the $\mu ^+\mu ^-$ channel after the fit of the simulation to the data. The left (right) columns show events with exactly one (two) b-tagged jets. Events with zero, one, two, or three additional non-b-tagged jets are shown in the first, second, third and fourth row, respectively. For events with at least one additional non-b-tagged jet, the transverse momentum distributions of the jet with the smallest transverse momentum in the respective category is considered. The hatched bands correspond to the total uncertainty in the sum of the predicted yields including all correlations. The ratios of the data to the sum of the simulated yields after the fit are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
png pdf |
Figure 5-b:
Kinematic distributions in the $\mu ^+\mu ^-$ channel after the fit of the simulation to the data. The left (right) columns show events with exactly one (two) b-tagged jets. Events with zero, one, two, or three additional non-b-tagged jets are shown in the first, second, third and fourth row, respectively. For events with at least one additional non-b-tagged jet, the transverse momentum distributions of the jet with the smallest transverse momentum in the respective category is considered. The hatched bands correspond to the total uncertainty in the sum of the predicted yields including all correlations. The ratios of the data to the sum of the simulated yields after the fit are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
png pdf |
Figure 5-c:
Kinematic distributions in the $\mu ^+\mu ^-$ channel after the fit of the simulation to the data. The left (right) columns show events with exactly one (two) b-tagged jets. Events with zero, one, two, or three additional non-b-tagged jets are shown in the first, second, third and fourth row, respectively. For events with at least one additional non-b-tagged jet, the transverse momentum distributions of the jet with the smallest transverse momentum in the respective category is considered. The hatched bands correspond to the total uncertainty in the sum of the predicted yields including all correlations. The ratios of the data to the sum of the simulated yields after the fit are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
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Figure 5-d:
Kinematic distributions in the $\mu ^+\mu ^-$ channel after the fit of the simulation to the data. The left (right) columns show events with exactly one (two) b-tagged jets. Events with zero, one, two, or three additional non-b-tagged jets are shown in the first, second, third and fourth row, respectively. For events with at least one additional non-b-tagged jet, the transverse momentum distributions of the jet with the smallest transverse momentum in the respective category is considered. The hatched bands correspond to the total uncertainty in the sum of the predicted yields including all correlations. The ratios of the data to the sum of the simulated yields after the fit are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
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Figure 5-e:
Kinematic distributions in the $\mu ^+\mu ^-$ channel after the fit of the simulation to the data. The left (right) columns show events with exactly one (two) b-tagged jets. Events with zero, one, two, or three additional non-b-tagged jets are shown in the first, second, third and fourth row, respectively. For events with at least one additional non-b-tagged jet, the transverse momentum distributions of the jet with the smallest transverse momentum in the respective category is considered. The hatched bands correspond to the total uncertainty in the sum of the predicted yields including all correlations. The ratios of the data to the sum of the simulated yields after the fit are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
png pdf |
Figure 5-f:
Kinematic distributions in the $\mu ^+\mu ^-$ channel after the fit of the simulation to the data. The left (right) columns show events with exactly one (two) b-tagged jets. Events with zero, one, two, or three additional non-b-tagged jets are shown in the first, second, third and fourth row, respectively. For events with at least one additional non-b-tagged jet, the transverse momentum distributions of the jet with the smallest transverse momentum in the respective category is considered. The hatched bands correspond to the total uncertainty in the sum of the predicted yields including all correlations. The ratios of the data to the sum of the simulated yields after the fit are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
png pdf |
Figure 5-g:
Kinematic distributions in the $\mu ^+\mu ^-$ channel after the fit of the simulation to the data. The left (right) columns show events with exactly one (two) b-tagged jets. Events with zero, one, two, or three additional non-b-tagged jets are shown in the first, second, third and fourth row, respectively. For events with at least one additional non-b-tagged jet, the transverse momentum distributions of the jet with the smallest transverse momentum in the respective category is considered. The hatched bands correspond to the total uncertainty in the sum of the predicted yields including all correlations. The ratios of the data to the sum of the simulated yields after the fit are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
png pdf |
Figure 5-h:
Kinematic distributions in the $\mu ^+\mu ^-$ channel after the fit of the simulation to the data. The left (right) columns show events with exactly one (two) b-tagged jets. Events with zero, one, two, or three additional non-b-tagged jets are shown in the first, second, third and fourth row, respectively. For events with at least one additional non-b-tagged jet, the transverse momentum distributions of the jet with the smallest transverse momentum in the respective category is considered. The hatched bands correspond to the total uncertainty in the sum of the predicted yields including all correlations. The ratios of the data to the sum of the simulated yields after the fit are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
png pdf |
Figure 6:
Kinematic distributions in the $\mathrm {e^+e^-}$ channel after the fit of the simulation to the data. The left (right) columns show events with exactly one (two) b-tagged jets. Events with zero, one, two, or three additional non-b-tagged jets are shown in the first, second, third, and fourth row, respectively. For events with at least one additional non-b-tagged jet, the transverse momentum distributions of the jet with the smallest transverse momentum in the respective category is considered. The hatched bands correspond to the total uncertainty in the sum of the predicted yields including all correlations. The ratios of the data to the sum of the simulated yields after the fit are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
png pdf |
Figure 6-a:
Kinematic distributions in the $\mathrm {e^+e^-}$ channel after the fit of the simulation to the data. The left (right) columns show events with exactly one (two) b-tagged jets. Events with zero, one, two, or three additional non-b-tagged jets are shown in the first, second, third, and fourth row, respectively. For events with at least one additional non-b-tagged jet, the transverse momentum distributions of the jet with the smallest transverse momentum in the respective category is considered. The hatched bands correspond to the total uncertainty in the sum of the predicted yields including all correlations. The ratios of the data to the sum of the simulated yields after the fit are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
png pdf |
Figure 6-b:
Kinematic distributions in the $\mathrm {e^+e^-}$ channel after the fit of the simulation to the data. The left (right) columns show events with exactly one (two) b-tagged jets. Events with zero, one, two, or three additional non-b-tagged jets are shown in the first, second, third, and fourth row, respectively. For events with at least one additional non-b-tagged jet, the transverse momentum distributions of the jet with the smallest transverse momentum in the respective category is considered. The hatched bands correspond to the total uncertainty in the sum of the predicted yields including all correlations. The ratios of the data to the sum of the simulated yields after the fit are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
png pdf |
Figure 6-c:
Kinematic distributions in the $\mathrm {e^+e^-}$ channel after the fit of the simulation to the data. The left (right) columns show events with exactly one (two) b-tagged jets. Events with zero, one, two, or three additional non-b-tagged jets are shown in the first, second, third, and fourth row, respectively. For events with at least one additional non-b-tagged jet, the transverse momentum distributions of the jet with the smallest transverse momentum in the respective category is considered. The hatched bands correspond to the total uncertainty in the sum of the predicted yields including all correlations. The ratios of the data to the sum of the simulated yields after the fit are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
png pdf |
Figure 6-d:
Kinematic distributions in the $\mathrm {e^+e^-}$ channel after the fit of the simulation to the data. The left (right) columns show events with exactly one (two) b-tagged jets. Events with zero, one, two, or three additional non-b-tagged jets are shown in the first, second, third, and fourth row, respectively. For events with at least one additional non-b-tagged jet, the transverse momentum distributions of the jet with the smallest transverse momentum in the respective category is considered. The hatched bands correspond to the total uncertainty in the sum of the predicted yields including all correlations. The ratios of the data to the sum of the simulated yields after the fit are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
png pdf |
Figure 6-e:
Kinematic distributions in the $\mathrm {e^+e^-}$ channel after the fit of the simulation to the data. The left (right) columns show events with exactly one (two) b-tagged jets. Events with zero, one, two, or three additional non-b-tagged jets are shown in the first, second, third, and fourth row, respectively. For events with at least one additional non-b-tagged jet, the transverse momentum distributions of the jet with the smallest transverse momentum in the respective category is considered. The hatched bands correspond to the total uncertainty in the sum of the predicted yields including all correlations. The ratios of the data to the sum of the simulated yields after the fit are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
png pdf |
Figure 6-f:
Kinematic distributions in the $\mathrm {e^+e^-}$ channel after the fit of the simulation to the data. The left (right) columns show events with exactly one (two) b-tagged jets. Events with zero, one, two, or three additional non-b-tagged jets are shown in the first, second, third, and fourth row, respectively. For events with at least one additional non-b-tagged jet, the transverse momentum distributions of the jet with the smallest transverse momentum in the respective category is considered. The hatched bands correspond to the total uncertainty in the sum of the predicted yields including all correlations. The ratios of the data to the sum of the simulated yields after the fit are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
png pdf |
Figure 6-g:
Kinematic distributions in the $\mathrm {e^+e^-}$ channel after the fit of the simulation to the data. The left (right) columns show events with exactly one (two) b-tagged jets. Events with zero, one, two, or three additional non-b-tagged jets are shown in the first, second, third, and fourth row, respectively. For events with at least one additional non-b-tagged jet, the transverse momentum distributions of the jet with the smallest transverse momentum in the respective category is considered. The hatched bands correspond to the total uncertainty in the sum of the predicted yields including all correlations. The ratios of the data to the sum of the simulated yields after the fit are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
png pdf |
Figure 6-h:
Kinematic distributions in the $\mathrm {e^+e^-}$ channel after the fit of the simulation to the data. The left (right) columns show events with exactly one (two) b-tagged jets. Events with zero, one, two, or three additional non-b-tagged jets are shown in the first, second, third, and fourth row, respectively. For events with at least one additional non-b-tagged jet, the transverse momentum distributions of the jet with the smallest transverse momentum in the respective category is considered. The hatched bands correspond to the total uncertainty in the sum of the predicted yields including all correlations. The ratios of the data to the sum of the simulated yields after the fit are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty in the MC simulation. |
png pdf |
Figure 7:
Pulls and constraints of the nuisance parameters related to modelling uncertainties for the cross section fit. The marker denotes the fitted value, while the inner error band represents the constraint and the outer error band denotes the additional uncertainty from the toy experiments. The horizontal bars represent the pre-fit uncertainty. |
png pdf |
Figure 8:
Pre-fit distributions for the simultaneous fit of ${\sigma _{\mathrm {t}\overline {\mathrm {t}}}}$ and ${m_\mathrm {t}^{\mathrm {MC}}}$. Categories in the same column have the same number of b-tagged jets (from left to right: zero or more than two, one, and two b-tagged jets) while categories in the same row have the same number of additional jets (uppermost to lowermost: zero additional jets, one additional jet, two additional jets, three or more additional jets). The hatched bands correspond to the total uncertainty in the sum of the predicted yields. The ratios of data to the sum of the predicted yields are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty. |
png pdf |
Figure 8-a:
Pre-fit distributions for the simultaneous fit of ${\sigma _{\mathrm {t}\overline {\mathrm {t}}}}$ and ${m_\mathrm {t}^{\mathrm {MC}}}$. Categories in the same column have the same number of b-tagged jets (from left to right: zero or more than two, one, and two b-tagged jets) while categories in the same row have the same number of additional jets (uppermost to lowermost: zero additional jets, one additional jet, two additional jets, three or more additional jets). The hatched bands correspond to the total uncertainty in the sum of the predicted yields. The ratios of data to the sum of the predicted yields are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty. |
png pdf |
Figure 8-b:
Pre-fit distributions for the simultaneous fit of ${\sigma _{\mathrm {t}\overline {\mathrm {t}}}}$ and ${m_\mathrm {t}^{\mathrm {MC}}}$. Categories in the same column have the same number of b-tagged jets (from left to right: zero or more than two, one, and two b-tagged jets) while categories in the same row have the same number of additional jets (uppermost to lowermost: zero additional jets, one additional jet, two additional jets, three or more additional jets). The hatched bands correspond to the total uncertainty in the sum of the predicted yields. The ratios of data to the sum of the predicted yields are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty. |
png pdf |
Figure 8-c:
Pre-fit distributions for the simultaneous fit of ${\sigma _{\mathrm {t}\overline {\mathrm {t}}}}$ and ${m_\mathrm {t}^{\mathrm {MC}}}$. Categories in the same column have the same number of b-tagged jets (from left to right: zero or more than two, one, and two b-tagged jets) while categories in the same row have the same number of additional jets (uppermost to lowermost: zero additional jets, one additional jet, two additional jets, three or more additional jets). The hatched bands correspond to the total uncertainty in the sum of the predicted yields. The ratios of data to the sum of the predicted yields are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty. |
png pdf |
Figure 8-d:
Pre-fit distributions for the simultaneous fit of ${\sigma _{\mathrm {t}\overline {\mathrm {t}}}}$ and ${m_\mathrm {t}^{\mathrm {MC}}}$. Categories in the same column have the same number of b-tagged jets (from left to right: zero or more than two, one, and two b-tagged jets) while categories in the same row have the same number of additional jets (uppermost to lowermost: zero additional jets, one additional jet, two additional jets, three or more additional jets). The hatched bands correspond to the total uncertainty in the sum of the predicted yields. The ratios of data to the sum of the predicted yields are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty. |
png pdf |
Figure 8-e:
Pre-fit distributions for the simultaneous fit of ${\sigma _{\mathrm {t}\overline {\mathrm {t}}}}$ and ${m_\mathrm {t}^{\mathrm {MC}}}$. Categories in the same column have the same number of b-tagged jets (from left to right: zero or more than two, one, and two b-tagged jets) while categories in the same row have the same number of additional jets (uppermost to lowermost: zero additional jets, one additional jet, two additional jets, three or more additional jets). The hatched bands correspond to the total uncertainty in the sum of the predicted yields. The ratios of data to the sum of the predicted yields are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty. |
png pdf |
Figure 8-f:
Pre-fit distributions for the simultaneous fit of ${\sigma _{\mathrm {t}\overline {\mathrm {t}}}}$ and ${m_\mathrm {t}^{\mathrm {MC}}}$. Categories in the same column have the same number of b-tagged jets (from left to right: zero or more than two, one, and two b-tagged jets) while categories in the same row have the same number of additional jets (uppermost to lowermost: zero additional jets, one additional jet, two additional jets, three or more additional jets). The hatched bands correspond to the total uncertainty in the sum of the predicted yields. The ratios of data to the sum of the predicted yields are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty. |
png pdf |
Figure 8-g:
Pre-fit distributions for the simultaneous fit of ${\sigma _{\mathrm {t}\overline {\mathrm {t}}}}$ and ${m_\mathrm {t}^{\mathrm {MC}}}$. Categories in the same column have the same number of b-tagged jets (from left to right: zero or more than two, one, and two b-tagged jets) while categories in the same row have the same number of additional jets (uppermost to lowermost: zero additional jets, one additional jet, two additional jets, three or more additional jets). The hatched bands correspond to the total uncertainty in the sum of the predicted yields. The ratios of data to the sum of the predicted yields are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty. |
png pdf |
Figure 8-h:
Pre-fit distributions for the simultaneous fit of ${\sigma _{\mathrm {t}\overline {\mathrm {t}}}}$ and ${m_\mathrm {t}^{\mathrm {MC}}}$. Categories in the same column have the same number of b-tagged jets (from left to right: zero or more than two, one, and two b-tagged jets) while categories in the same row have the same number of additional jets (uppermost to lowermost: zero additional jets, one additional jet, two additional jets, three or more additional jets). The hatched bands correspond to the total uncertainty in the sum of the predicted yields. The ratios of data to the sum of the predicted yields are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty. |
png pdf |
Figure 8-i:
Pre-fit distributions for the simultaneous fit of ${\sigma _{\mathrm {t}\overline {\mathrm {t}}}}$ and ${m_\mathrm {t}^{\mathrm {MC}}}$. Categories in the same column have the same number of b-tagged jets (from left to right: zero or more than two, one, and two b-tagged jets) while categories in the same row have the same number of additional jets (uppermost to lowermost: zero additional jets, one additional jet, two additional jets, three or more additional jets). The hatched bands correspond to the total uncertainty in the sum of the predicted yields. The ratios of data to the sum of the predicted yields are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty. |
png pdf |
Figure 8-j:
Pre-fit distributions for the simultaneous fit of ${\sigma _{\mathrm {t}\overline {\mathrm {t}}}}$ and ${m_\mathrm {t}^{\mathrm {MC}}}$. Categories in the same column have the same number of b-tagged jets (from left to right: zero or more than two, one, and two b-tagged jets) while categories in the same row have the same number of additional jets (uppermost to lowermost: zero additional jets, one additional jet, two additional jets, three or more additional jets). The hatched bands correspond to the total uncertainty in the sum of the predicted yields. The ratios of data to the sum of the predicted yields are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty. |
png pdf |
Figure 8-k:
Pre-fit distributions for the simultaneous fit of ${\sigma _{\mathrm {t}\overline {\mathrm {t}}}}$ and ${m_\mathrm {t}^{\mathrm {MC}}}$. Categories in the same column have the same number of b-tagged jets (from left to right: zero or more than two, one, and two b-tagged jets) while categories in the same row have the same number of additional jets (uppermost to lowermost: zero additional jets, one additional jet, two additional jets, three or more additional jets). The hatched bands correspond to the total uncertainty in the sum of the predicted yields. The ratios of data to the sum of the predicted yields are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty. |
png pdf |
Figure 8-l:
Pre-fit distributions for the simultaneous fit of ${\sigma _{\mathrm {t}\overline {\mathrm {t}}}}$ and ${m_\mathrm {t}^{\mathrm {MC}}}$. Categories in the same column have the same number of b-tagged jets (from left to right: zero or more than two, one, and two b-tagged jets) while categories in the same row have the same number of additional jets (uppermost to lowermost: zero additional jets, one additional jet, two additional jets, three or more additional jets). The hatched bands correspond to the total uncertainty in the sum of the predicted yields. The ratios of data to the sum of the predicted yields are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty. |
png pdf |
Figure 9:
Post-fit distributions for the simultaneous fit of ${\sigma _{\mathrm {t}\overline {\mathrm {t}}}}$ and ${m_\mathrm {t}^{\mathrm {MC}}}$. Categories in the same column have the same number of b-tagged jets (from left to right: zero or more than two, one, and two b-tagged jets) while categories in the same row have the same number of additional jets (uppermost to lowermost: zero additional jets, one additional jet, two additional jets, three or more additional jets). The hatched bands correspond to the total uncertainty in the sum of the predicted yields and include the contribution from the top quark mass ($\Delta {m_\mathrm {t}^{\mathrm {MC}}} $). The ratios of data to the sum of the predicted yields are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty. |
png pdf |
Figure 9-a:
Post-fit distributions for the simultaneous fit of ${\sigma _{\mathrm {t}\overline {\mathrm {t}}}}$ and ${m_\mathrm {t}^{\mathrm {MC}}}$. Categories in the same column have the same number of b-tagged jets (from left to right: zero or more than two, one, and two b-tagged jets) while categories in the same row have the same number of additional jets (uppermost to lowermost: zero additional jets, one additional jet, two additional jets, three or more additional jets). The hatched bands correspond to the total uncertainty in the sum of the predicted yields and include the contribution from the top quark mass ($\Delta {m_\mathrm {t}^{\mathrm {MC}}} $). The ratios of data to the sum of the predicted yields are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty. |
png pdf |
Figure 9-b:
Post-fit distributions for the simultaneous fit of ${\sigma _{\mathrm {t}\overline {\mathrm {t}}}}$ and ${m_\mathrm {t}^{\mathrm {MC}}}$. Categories in the same column have the same number of b-tagged jets (from left to right: zero or more than two, one, and two b-tagged jets) while categories in the same row have the same number of additional jets (uppermost to lowermost: zero additional jets, one additional jet, two additional jets, three or more additional jets). The hatched bands correspond to the total uncertainty in the sum of the predicted yields and include the contribution from the top quark mass ($\Delta {m_\mathrm {t}^{\mathrm {MC}}} $). The ratios of data to the sum of the predicted yields are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty. |
png pdf |
Figure 9-c:
Post-fit distributions for the simultaneous fit of ${\sigma _{\mathrm {t}\overline {\mathrm {t}}}}$ and ${m_\mathrm {t}^{\mathrm {MC}}}$. Categories in the same column have the same number of b-tagged jets (from left to right: zero or more than two, one, and two b-tagged jets) while categories in the same row have the same number of additional jets (uppermost to lowermost: zero additional jets, one additional jet, two additional jets, three or more additional jets). The hatched bands correspond to the total uncertainty in the sum of the predicted yields and include the contribution from the top quark mass ($\Delta {m_\mathrm {t}^{\mathrm {MC}}} $). The ratios of data to the sum of the predicted yields are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty. |
png pdf |
Figure 9-d:
Post-fit distributions for the simultaneous fit of ${\sigma _{\mathrm {t}\overline {\mathrm {t}}}}$ and ${m_\mathrm {t}^{\mathrm {MC}}}$. Categories in the same column have the same number of b-tagged jets (from left to right: zero or more than two, one, and two b-tagged jets) while categories in the same row have the same number of additional jets (uppermost to lowermost: zero additional jets, one additional jet, two additional jets, three or more additional jets). The hatched bands correspond to the total uncertainty in the sum of the predicted yields and include the contribution from the top quark mass ($\Delta {m_\mathrm {t}^{\mathrm {MC}}} $). The ratios of data to the sum of the predicted yields are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty. |
png pdf |
Figure 9-e:
Post-fit distributions for the simultaneous fit of ${\sigma _{\mathrm {t}\overline {\mathrm {t}}}}$ and ${m_\mathrm {t}^{\mathrm {MC}}}$. Categories in the same column have the same number of b-tagged jets (from left to right: zero or more than two, one, and two b-tagged jets) while categories in the same row have the same number of additional jets (uppermost to lowermost: zero additional jets, one additional jet, two additional jets, three or more additional jets). The hatched bands correspond to the total uncertainty in the sum of the predicted yields and include the contribution from the top quark mass ($\Delta {m_\mathrm {t}^{\mathrm {MC}}} $). The ratios of data to the sum of the predicted yields are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty. |
png pdf |
Figure 9-f:
Post-fit distributions for the simultaneous fit of ${\sigma _{\mathrm {t}\overline {\mathrm {t}}}}$ and ${m_\mathrm {t}^{\mathrm {MC}}}$. Categories in the same column have the same number of b-tagged jets (from left to right: zero or more than two, one, and two b-tagged jets) while categories in the same row have the same number of additional jets (uppermost to lowermost: zero additional jets, one additional jet, two additional jets, three or more additional jets). The hatched bands correspond to the total uncertainty in the sum of the predicted yields and include the contribution from the top quark mass ($\Delta {m_\mathrm {t}^{\mathrm {MC}}} $). The ratios of data to the sum of the predicted yields are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty. |
png pdf |
Figure 9-g:
Post-fit distributions for the simultaneous fit of ${\sigma _{\mathrm {t}\overline {\mathrm {t}}}}$ and ${m_\mathrm {t}^{\mathrm {MC}}}$. Categories in the same column have the same number of b-tagged jets (from left to right: zero or more than two, one, and two b-tagged jets) while categories in the same row have the same number of additional jets (uppermost to lowermost: zero additional jets, one additional jet, two additional jets, three or more additional jets). The hatched bands correspond to the total uncertainty in the sum of the predicted yields and include the contribution from the top quark mass ($\Delta {m_\mathrm {t}^{\mathrm {MC}}} $). The ratios of data to the sum of the predicted yields are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty. |
png pdf |
Figure 9-h:
Post-fit distributions for the simultaneous fit of ${\sigma _{\mathrm {t}\overline {\mathrm {t}}}}$ and ${m_\mathrm {t}^{\mathrm {MC}}}$. Categories in the same column have the same number of b-tagged jets (from left to right: zero or more than two, one, and two b-tagged jets) while categories in the same row have the same number of additional jets (uppermost to lowermost: zero additional jets, one additional jet, two additional jets, three or more additional jets). The hatched bands correspond to the total uncertainty in the sum of the predicted yields and include the contribution from the top quark mass ($\Delta {m_\mathrm {t}^{\mathrm {MC}}} $). The ratios of data to the sum of the predicted yields are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty. |
png pdf |
Figure 9-i:
Post-fit distributions for the simultaneous fit of ${\sigma _{\mathrm {t}\overline {\mathrm {t}}}}$ and ${m_\mathrm {t}^{\mathrm {MC}}}$. Categories in the same column have the same number of b-tagged jets (from left to right: zero or more than two, one, and two b-tagged jets) while categories in the same row have the same number of additional jets (uppermost to lowermost: zero additional jets, one additional jet, two additional jets, three or more additional jets). The hatched bands correspond to the total uncertainty in the sum of the predicted yields and include the contribution from the top quark mass ($\Delta {m_\mathrm {t}^{\mathrm {MC}}} $). The ratios of data to the sum of the predicted yields are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty. |
png pdf |
Figure 9-j:
Post-fit distributions for the simultaneous fit of ${\sigma _{\mathrm {t}\overline {\mathrm {t}}}}$ and ${m_\mathrm {t}^{\mathrm {MC}}}$. Categories in the same column have the same number of b-tagged jets (from left to right: zero or more than two, one, and two b-tagged jets) while categories in the same row have the same number of additional jets (uppermost to lowermost: zero additional jets, one additional jet, two additional jets, three or more additional jets). The hatched bands correspond to the total uncertainty in the sum of the predicted yields and include the contribution from the top quark mass ($\Delta {m_\mathrm {t}^{\mathrm {MC}}} $). The ratios of data to the sum of the predicted yields are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty. |
png pdf |
Figure 9-k:
Post-fit distributions for the simultaneous fit of ${\sigma _{\mathrm {t}\overline {\mathrm {t}}}}$ and ${m_\mathrm {t}^{\mathrm {MC}}}$. Categories in the same column have the same number of b-tagged jets (from left to right: zero or more than two, one, and two b-tagged jets) while categories in the same row have the same number of additional jets (uppermost to lowermost: zero additional jets, one additional jet, two additional jets, three or more additional jets). The hatched bands correspond to the total uncertainty in the sum of the predicted yields and include the contribution from the top quark mass ($\Delta {m_\mathrm {t}^{\mathrm {MC}}} $). The ratios of data to the sum of the predicted yields are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty. |
png pdf |
Figure 9-l:
Post-fit distributions for the simultaneous fit of ${\sigma _{\mathrm {t}\overline {\mathrm {t}}}}$ and ${m_\mathrm {t}^{\mathrm {MC}}}$. Categories in the same column have the same number of b-tagged jets (from left to right: zero or more than two, one, and two b-tagged jets) while categories in the same row have the same number of additional jets (uppermost to lowermost: zero additional jets, one additional jet, two additional jets, three or more additional jets). The hatched bands correspond to the total uncertainty in the sum of the predicted yields and include the contribution from the top quark mass ($\Delta {m_\mathrm {t}^{\mathrm {MC}}} $). The ratios of data to the sum of the predicted yields are shown in the lower panel of each figure. Here, the solid grey band represents the contribution of the statistical uncertainty. |
png pdf |
Figure 10:
Pulls and constraints of the nuisance parameters related to modelling uncertainties for the simultaneous fit of ${\sigma _{\mathrm {t}\overline {\mathrm {t}}}}$ and ${m_\mathrm {t}^{\mathrm {MC}}}$. The marker denotes the fitted value, while the inner error band represents the constraint and the outer error band denotes the additional uncertainty from the toy experiments. The horizontal bars represent the pre-fit uncertainty. |
png pdf |
Figure 11:
Left: the values of $\chi ^2({\alpha _\mathrm {S}})$ obtained from comparison of the ${\sigma _{\mathrm {t}\overline {\mathrm {t}}}}$ measurement at $\sqrt {s}=$ 13 TeV to the NNLO prediction in the ${\mathrm {\overline {MS}}}$ scheme using different PDFs (symbols of different styles). Right: the values for ${\alpha _\mathrm {S}(m_\mathrm {Z})}$ for different PDF sets obtained in the ${\mathrm {\overline {MS}}}$ scheme for treatment of the top quark mass in the theory prediction. The uncertainties account for the experimental, the PDF, and the scale variation uncertainties. The values are compared to the world-average value [29], shown by the vertical line and hatched band. |
png pdf |
Figure 11-a:
Left: the values of $\chi ^2({\alpha _\mathrm {S}})$ obtained from comparison of the ${\sigma _{\mathrm {t}\overline {\mathrm {t}}}}$ measurement at $\sqrt {s}=$ 13 TeV to the NNLO prediction in the ${\mathrm {\overline {MS}}}$ scheme using different PDFs (symbols of different styles). Right: the values for ${\alpha _\mathrm {S}(m_\mathrm {Z})}$ for different PDF sets obtained in the ${\mathrm {\overline {MS}}}$ scheme for treatment of the top quark mass in the theory prediction. The uncertainties account for the experimental, the PDF, and the scale variation uncertainties. The values are compared to the world-average value [29], shown by the vertical line and hatched band. |
png pdf |
Figure 11-b:
Left: the values of $\chi ^2({\alpha _\mathrm {S}})$ obtained from comparison of the ${\sigma _{\mathrm {t}\overline {\mathrm {t}}}}$ measurement at $\sqrt {s}=$ 13 TeV to the NNLO prediction in the ${\mathrm {\overline {MS}}}$ scheme using different PDFs (symbols of different styles). Right: the values for ${\alpha _\mathrm {S}(m_\mathrm {Z})}$ for different PDF sets obtained in the ${\mathrm {\overline {MS}}}$ scheme for treatment of the top quark mass in the theory prediction. The uncertainties account for the experimental, the PDF, and the scale variation uncertainties. The values are compared to the world-average value [29], shown by the vertical line and hatched band. |
png pdf |
Figure 12:
Summary of the results for ${m_\mathrm {t}(m_\mathrm {t})}$ (left) and of ${m_\mathrm {t}^{\mathrm {pole}}}$ (right) using different PDF sets. The inner part of the horisontal error bar represents the combination of experimental, PDF, and $\alpha _\mathrm {S}$ uncertainties, while the outer error bar represents the total uncertainty. |
png pdf |
Figure 12-a:
Summary of the results for ${m_\mathrm {t}(m_\mathrm {t})}$ (left) and of ${m_\mathrm {t}^{\mathrm {pole}}}$ (right) using different PDF sets. The inner part of the horisontal error bar represents the combination of experimental, PDF, and $\alpha _\mathrm {S}$ uncertainties, while the outer error bar represents the total uncertainty. |
png pdf |
Figure 12-b:
Summary of the results for ${m_\mathrm {t}(m_\mathrm {t})}$ (left) and of ${m_\mathrm {t}^{\mathrm {pole}}}$ (right) using different PDF sets. The inner part of the horisontal error bar represents the combination of experimental, PDF, and $\alpha _\mathrm {S}$ uncertainties, while the outer error bar represents the total uncertainty. |
png pdf |
Figure 13:
The values of ${\alpha _\mathrm {S}(m_\mathrm {Z})}$ obtained in comparison of the ${\sigma _{\mathrm {t}\overline {\mathrm {t}}}}$ measurement at $\sqrt {s}=$ 13 TeV to the NNLO prediction using different PDFs shown as a function of ${m_\mathrm {t}(m_\mathrm {t})}$ used in the NNLO calculation. Different PDFs used are represented by the bands of different shades, with the band width corresponding to the experimental and PDF uncertainties. The extracted values of ${\alpha _\mathrm {S}(m_\mathrm {Z})}$ for each PDF are shown by the markers of different style, shown at the ${m_\mathrm {t}(m_\mathrm {t})}$ values used for each PDF. |
| Tables | |
png pdf |
Table 1:
The measured visible and total ${{\mathrm {t}\overline {\mathrm {t}}}}$ cross sections and a breakdown of their systematic and statistical uncertainties as obtained from the template fit. The individual uncertainties are given without their correlation, but it is accounted for in the total uncertainties. |
png pdf |
Table 2:
Results of the simultaneous fit of ${\sigma _{\mathrm {t}\overline {\mathrm {t}}}}$ (left) and ${m_\mathrm {t}^{\mathrm {MC}}}$ (right). The errors from the luminosity uncertainty and the statistics of the simulated samples are determined separately from the fit. In this case, definition of $ {\sigma _{{{\mathrm {t}\overline {\mathrm {t}}}}}^{\mathrm {vis}}} $ is restricted to the $\mathrm {e^{\mp}}\mu ^{\pm}$ channel. |
png pdf |
Table 3:
The values of the top quark pole mass used in the different PDF sets and the corresponding values of ${m_\mathrm {t}(m_\mathrm {t})}$ obtained using the RunDec [77,78] conversion. |
png pdf |
Table 4:
Values of ${\alpha _\mathrm {S}(m_\mathrm {Z})}$ with their uncertainties obtained using different PDF sets. The ${\mathrm {\overline {MS}}}$ scheme is used for the top quark mass treatment in the theory prediction. |
png pdf |
Table 5:
Values of ${\alpha _\mathrm {S}(m_\mathrm {Z})}$ with their uncertainties obtained using different PDF sets. The pole mass scheme is used for the top quark mass treatment in the theory prediction. |
png pdf |
Table 6:
Extraction of ${m_\mathrm {t}(m_\mathrm {t})}$ at NNLO from ${\sigma _{\mathrm {t}\overline {\mathrm {t}}}}$ using different PDF sets. |
png pdf |
Table 7:
Extraction of ${m_\mathrm {t}^{\mathrm {pole}}}$ at NNLO from ${\sigma _{\mathrm {t}\overline {\mathrm {t}}}}$ using different PDF sets. |
| Summary |
|
A precise measurement of the $\mathrm{t\bar{t}}$ production cross section in proton-proton collisions at a centre-of-mass energy of 13 TeV is presented. Assuming a top quark mass ${m_\mathrm{t}}^{\text{MC}}$ of 172.5 GeV, the visible cross section ${\sigma_{\mathrm{t\bar{t}}}^{\mathrm{vis}}}$ for $\mathrm{t\bar{t}}$ production with two final-state leptons of transverse momenta larger than 25 and 20 GeV and pseudorapidity $ | \eta | < $ 2.4, is measured to be ${\sigma_{\mathrm{t\bar{t}}}^{\mathrm{vis}}} = $ 25.61 $\pm$ 0.05 (stat) $\pm$ 0.75 (syst) $\pm$ 0.64 (lum) pb. By extrapolating to the full phase space, the total $\mathrm{t\bar{t}}$ production cross section is found to be ${\sigma_\mathrm{t\bar{t}}} = $ 803 $\pm$ 2 (stat) $\pm$ 25 (syst) $\pm$ 20 (lum) pb. The total uncertainty is 33 pb (4.0%). The measurement is in good agreement with the theoretical prediction calculated to next-to-next-to-leading order in perturbative QCD, including soft-gluon resummation to next-to-next-to-leading logarithms. The measurement is repeated including the top quark mass as an additional free parameter of interest in a simultaneous fit of ${\sigma_\mathrm{t\bar{t}}} $ and ${m_\mathrm{t}}^{\text{MC}}$. The fit yields a top quark mass value ${m_\mathrm{t}}^{\text{MC}} = $ 172.33 $\pm$ 0.14 (stat) $^{+0.66}_{-0.72}$ (syst) GeV, in good agreement with previous measurements. The value of ${\sigma_\mathrm{t\bar{t}}} $ obtained in the simultaneous fit is further used to extract the values of the top quark mass and of the strong coupling at NNLO, using both the ${\mathrm{\overline{MS}}}$ and pole mass renormalization schemes for different PDFs. |
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