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| CMS-PAS-TOP-22-009 | ||
| Inclusive and differential cross section measurements of $ \mathrm{t}\mathrm{\bar{t}}\mathrm{b}\mathrm{\bar{b}} $ production in the lepton+jets channel at $ \sqrt{s}= $ 13 TeV with the CMS detector | ||
| CMS Collaboration | ||
| 19 March 2023 | ||
| Abstract: Measurements of inclusive and differential cross sections of the associated production of top quark and b quark pairs, $ \mathrm{t}\mathrm{\bar{t}}\mathrm{b}\mathrm{\bar{b}} $, are presented. The results are based on LHC data from proton-proton collisions at a centre-of-mass energy of $ \sqrt{s} = $ 13 TeV, corresponding to an integrated luminosity of 138 fb$ ^{-1} $. The cross sections are measured in the lepton+jets decay channel of the top quark pair, using events containing exactly one isolated electron or muon and at least five jets. These cross sections are measured in four fiducial phase space regions, targeting different aspects of the $ \mathrm{t}\mathrm{\bar{t}}\mathrm{b}\mathrm{\bar{b}} $ process. The jets arising from the b quark pair are probed using two complementary approaches, one relying on kinematic variables at the stable particle level and another based on a dedicated multivariate identification algorithm exploiting the simulated event history. Distributions are unfolded to the particle level through maximum likelihood fits, and compared with predictions from several event generators. The inclusive cross section measurements of the fiducial phase space regions are the most precise measurements of $ \mathrm{t}\mathrm{\bar{t}}\mathrm{b}\mathrm{\bar{b}} $ production so far. With one exception, the inclusive cross sections predicted by the considered event generators are 10-50% lower than the measured values in the different phase space regions. The differential cross sections show varying degrees of compatibility with the theoretical predictions, whereby no generator simultaneously describes all the measured distributions. | ||
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Links:
CDS record (PDF) ;
CADI line (restricted) ;
These preliminary results are superseded in this paper, Submitted to JHEP. The superseded preliminary plots can be found here. |
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| Figures | |
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Figure 1:
Jet (left) and b-tagged jet (right) multiplicity in the 5j3b selection prior to any fit, shown for both lepton channels and all data periods combined. The contributions from simulation have been scaled by a common factor to match the yield in data. The $ {\mathrm{t}\bar{\mathrm{t}}} \mathrm{X} $ contribution includes the $ {\mathrm{t}\bar{\mathrm{t}}} \mathrm{H} $, $ {\mathrm{t}\bar{\mathrm{t}}} \mathrm{W} $, and $ {\mathrm{t}\bar{\mathrm{t}}} \mathrm{Z} $ processes. The shaded bands include all a-priori uncertainties described in Sec. 7, including the $ {\mathrm{t}\bar{\mathrm{t}}} \mathrm{B} $ cross section uncertainty estimated from the nominal $ {\mathrm{t}\bar{\mathrm{t}}} \mathrm{b}\bar{\mathrm{b}} $ simulation. Only effects on the shape of the distributions are considered. The last bins also contain the overflow. |
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Figure 1-a:
Jet (left) and b-tagged jet (right) multiplicity in the 5j3b selection prior to any fit, shown for both lepton channels and all data periods combined. The contributions from simulation have been scaled by a common factor to match the yield in data. The $ {\mathrm{t}\bar{\mathrm{t}}} \mathrm{X} $ contribution includes the $ {\mathrm{t}\bar{\mathrm{t}}} \mathrm{H} $, $ {\mathrm{t}\bar{\mathrm{t}}} \mathrm{W} $, and $ {\mathrm{t}\bar{\mathrm{t}}} \mathrm{Z} $ processes. The shaded bands include all a-priori uncertainties described in Sec. 7, including the $ {\mathrm{t}\bar{\mathrm{t}}} \mathrm{B} $ cross section uncertainty estimated from the nominal $ {\mathrm{t}\bar{\mathrm{t}}} \mathrm{b}\bar{\mathrm{b}} $ simulation. Only effects on the shape of the distributions are considered. The last bins also contain the overflow. |
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Figure 1-b:
Jet (left) and b-tagged jet (right) multiplicity in the 5j3b selection prior to any fit, shown for both lepton channels and all data periods combined. The contributions from simulation have been scaled by a common factor to match the yield in data. The $ {\mathrm{t}\bar{\mathrm{t}}} \mathrm{X} $ contribution includes the $ {\mathrm{t}\bar{\mathrm{t}}} \mathrm{H} $, $ {\mathrm{t}\bar{\mathrm{t}}} \mathrm{W} $, and $ {\mathrm{t}\bar{\mathrm{t}}} \mathrm{Z} $ processes. The shaded bands include all a-priori uncertainties described in Sec. 7, including the $ {\mathrm{t}\bar{\mathrm{t}}} \mathrm{B} $ cross section uncertainty estimated from the nominal $ {\mathrm{t}\bar{\mathrm{t}}} \mathrm{b}\bar{\mathrm{b}} $ simulation. Only effects on the shape of the distributions are considered. The last bins also contain the overflow. |
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Figure 2:
Number of jets b-tagged at the tight working point in the 5j3b (left) and 6j4b selections (right) prior to any fit, shown for all lepton channels and years combined. The contributions from simulation have been scaled by a common factor to match the yield in data. The shaded bands include all uncertainties described in Sec. 7, including the $ {\mathrm{t}\bar{\mathrm{t}}} \mathrm{B} $ cross section uncertainty estimated from the nominal $ {\mathrm{t}\bar{\mathrm{t}}} \mathrm{b}\bar{\mathrm{b}} $ simulation. Only effects on the shape of the distributions are considered. The last bins also contain the overflow. The vertical dashed lines indicate the ancillary regions. |
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Figure 2-a:
Number of jets b-tagged at the tight working point in the 5j3b (left) and 6j4b selections (right) prior to any fit, shown for all lepton channels and years combined. The contributions from simulation have been scaled by a common factor to match the yield in data. The shaded bands include all uncertainties described in Sec. 7, including the $ {\mathrm{t}\bar{\mathrm{t}}} \mathrm{B} $ cross section uncertainty estimated from the nominal $ {\mathrm{t}\bar{\mathrm{t}}} \mathrm{b}\bar{\mathrm{b}} $ simulation. Only effects on the shape of the distributions are considered. The last bins also contain the overflow. The vertical dashed lines indicate the ancillary regions. |
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Figure 2-b:
Number of jets b-tagged at the tight working point in the 5j3b (left) and 6j4b selections (right) prior to any fit, shown for all lepton channels and years combined. The contributions from simulation have been scaled by a common factor to match the yield in data. The shaded bands include all uncertainties described in Sec. 7, including the $ {\mathrm{t}\bar{\mathrm{t}}} \mathrm{B} $ cross section uncertainty estimated from the nominal $ {\mathrm{t}\bar{\mathrm{t}}} \mathrm{b}\bar{\mathrm{b}} $ simulation. Only effects on the shape of the distributions are considered. The last bins also contain the overflow. The vertical dashed lines indicate the ancillary regions. |
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Figure 3:
Response matrix for $ \Delta\mathrm{R}(\mathrm{b}\mathrm{b}^{\text{extra}}) $ in the 6j4b phase space. The $ x $ ($ y $) axes show the generator- (detector-)level observables. The upper figure includes the ancillary variable, unrolled on the same axis as the detector-level observable, so that the binning of the detector-level observable, stacked vertically, is repeated twice. For the lower figure, the ancillary variables are projected out to more easily visualize the correspondence between true and reconstructed values. The coloured bins show the finer binning used at reconstructed level (bins split in two), while the numbers show the values one would obtain when using the same binning at generator and detector level. |
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Figure 3-a:
Response matrix for $ \Delta\mathrm{R}(\mathrm{b}\mathrm{b}^{\text{extra}}) $ in the 6j4b phase space. The $ x $ ($ y $) axes show the generator- (detector-)level observables. The upper figure includes the ancillary variable, unrolled on the same axis as the detector-level observable, so that the binning of the detector-level observable, stacked vertically, is repeated twice. For the lower figure, the ancillary variables are projected out to more easily visualize the correspondence between true and reconstructed values. The coloured bins show the finer binning used at reconstructed level (bins split in two), while the numbers show the values one would obtain when using the same binning at generator and detector level. |
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Figure 3-b:
Response matrix for $ \Delta\mathrm{R}(\mathrm{b}\mathrm{b}^{\text{extra}}) $ in the 6j4b phase space. The $ x $ ($ y $) axes show the generator- (detector-)level observables. The upper figure includes the ancillary variable, unrolled on the same axis as the detector-level observable, so that the binning of the detector-level observable, stacked vertically, is repeated twice. For the lower figure, the ancillary variables are projected out to more easily visualize the correspondence between true and reconstructed values. The coloured bins show the finer binning used at reconstructed level (bins split in two), while the numbers show the values one would obtain when using the same binning at generator and detector level. |
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Figure 4:
Effect of the considered sources of uncertainties on the measurement of the normalized differential cross section of the $ H_{\mathrm{T}} $ of b jets in the 5j3b phase space, obtained by combining the impacts of associated nuisance parameters according to Eq. (2). The ordering of the various sources is similar for other observables and in the other phase space regions. The last bin of the distribution is not shown, since it has no associated parameter of interest but is constrained by the other bins as described in Section 6.3. The category "other theory" includes b fragmentation, top $ p_{\mathrm{T}} $ modelling, PDF, $ \mathrm{h}_{\mathrm{damp}} $, colour reconnection, and underlying event uncertainties. The category "other experimental" includes pileup and luminosity uncertainties. |
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Figure 5:
Measured inclusive cross sections for each considered phase space, compared to predictions from different $ {\mathrm{t}\bar{\mathrm{t}}} \mathrm{b}\bar{\mathrm{b}} $ simulation approaches shown as coloured symbols. The blue colour is reserved for models using massive b quarks and NLO QCD $ {\mathrm{t}\bar{\mathrm{t}}} \mathrm{b}\bar{\mathrm{b}} $ matrix elements, while red is used for the inclusive $ \mathrm{t} \bar{\mathrm{t}} $ generators at NLO in QCD with massless b quarks. The right panel shows the ratios between the predicted and measured cross sections. |
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Figure 6:
The $ |\eta| $ of the third hardest b jet in $ p_{\mathrm{T}} $ ($ | \eta(\mathrm{b}_{3}) | $) in the 5j3b phase space (top) and the $ |\eta| $ of the sub-leading additional b jet ($ | \eta(\mathrm{b}_{2}^\text{extra}) | $) in the 6j4b phase space (bottom) after the fit to data, shown for both lepton channels and all data periods combined. The distributions are shown separately for each ancillary region, as defined in Sec. 6.1. The shaded bands include all uncertainties described in Sec. 7 after profiling the nuisance parameters in the fit, estimated by sampling the predicted yields from the fit covariance matrix. The blue line shows the sum of the predicted yields for all processes before the fit to data, using the nominal $ {\mathrm{t}\bar{\mathrm{t}}} \mathrm{b}\bar{\mathrm{b}} $ samples and its corresponding cross section for the signal. The last bins contain the overflow. |
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Figure 6-a:
The $ |\eta| $ of the third hardest b jet in $ p_{\mathrm{T}} $ ($ | \eta(\mathrm{b}_{3}) | $) in the 5j3b phase space (top) and the $ |\eta| $ of the sub-leading additional b jet ($ | \eta(\mathrm{b}_{2}^\text{extra}) | $) in the 6j4b phase space (bottom) after the fit to data, shown for both lepton channels and all data periods combined. The distributions are shown separately for each ancillary region, as defined in Sec. 6.1. The shaded bands include all uncertainties described in Sec. 7 after profiling the nuisance parameters in the fit, estimated by sampling the predicted yields from the fit covariance matrix. The blue line shows the sum of the predicted yields for all processes before the fit to data, using the nominal $ {\mathrm{t}\bar{\mathrm{t}}} \mathrm{b}\bar{\mathrm{b}} $ samples and its corresponding cross section for the signal. The last bins contain the overflow. |
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Figure 6-b:
The $ |\eta| $ of the third hardest b jet in $ p_{\mathrm{T}} $ ($ | \eta(\mathrm{b}_{3}) | $) in the 5j3b phase space (top) and the $ |\eta| $ of the sub-leading additional b jet ($ | \eta(\mathrm{b}_{2}^\text{extra}) | $) in the 6j4b phase space (bottom) after the fit to data, shown for both lepton channels and all data periods combined. The distributions are shown separately for each ancillary region, as defined in Sec. 6.1. The shaded bands include all uncertainties described in Sec. 7 after profiling the nuisance parameters in the fit, estimated by sampling the predicted yields from the fit covariance matrix. The blue line shows the sum of the predicted yields for all processes before the fit to data, using the nominal $ {\mathrm{t}\bar{\mathrm{t}}} \mathrm{b}\bar{\mathrm{b}} $ samples and its corresponding cross section for the signal. The last bins contain the overflow. |
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Figure 7:
The $ H_{\mathrm{T}} $ of all light jets in the 6j3b3l phase space (top) and the azimuthal angle between the hardest remaining light jet and the softest b jet ($ |\Delta\phi({\mathrm{l_{j1}}^{\text{extra}},\mathrm{b}_{\text{soft}}})| $) in the 7j4b3l phase space (bottom) after the fit to data, shown for both lepton channels and all data periods combined. The distributions are shown separately for each ancillary region, as defined in Sec. 6.1. The shaded bands include all uncertainties described in Sec. 7 after profiling the nuisance parameters in the fit, estimated by sampling the predicted yields from the fit covariance matrix. The blue line shows the sum of the predicted yields for all processes before the fit to data, using the nominal $ {\mathrm{t}\bar{\mathrm{t}}} \mathrm{b}\bar{\mathrm{b}} $ samples and its corresponding cross section for the signal. The last bins contain the overflow. |
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Figure 7-a:
The $ H_{\mathrm{T}} $ of all light jets in the 6j3b3l phase space (top) and the azimuthal angle between the hardest remaining light jet and the softest b jet ($ |\Delta\phi({\mathrm{l_{j1}}^{\text{extra}},\mathrm{b}_{\text{soft}}})| $) in the 7j4b3l phase space (bottom) after the fit to data, shown for both lepton channels and all data periods combined. The distributions are shown separately for each ancillary region, as defined in Sec. 6.1. The shaded bands include all uncertainties described in Sec. 7 after profiling the nuisance parameters in the fit, estimated by sampling the predicted yields from the fit covariance matrix. The blue line shows the sum of the predicted yields for all processes before the fit to data, using the nominal $ {\mathrm{t}\bar{\mathrm{t}}} \mathrm{b}\bar{\mathrm{b}} $ samples and its corresponding cross section for the signal. The last bins contain the overflow. |
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Figure 7-b:
The $ H_{\mathrm{T}} $ of all light jets in the 6j3b3l phase space (top) and the azimuthal angle between the hardest remaining light jet and the softest b jet ($ |\Delta\phi({\mathrm{l_{j1}}^{\text{extra}},\mathrm{b}_{\text{soft}}})| $) in the 7j4b3l phase space (bottom) after the fit to data, shown for both lepton channels and all data periods combined. The distributions are shown separately for each ancillary region, as defined in Sec. 6.1. The shaded bands include all uncertainties described in Sec. 7 after profiling the nuisance parameters in the fit, estimated by sampling the predicted yields from the fit covariance matrix. The blue line shows the sum of the predicted yields for all processes before the fit to data, using the nominal $ {\mathrm{t}\bar{\mathrm{t}}} \mathrm{b}\bar{\mathrm{b}} $ samples and its corresponding cross section for the signal. The last bins contain the overflow. |
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Figure 8:
Correlations between the parameters of interest $ \vec{\mu} $ in the fit for $ | \eta(\mathrm{b}_{3}) | $ in the 5j3b phase space. |
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Figure 9:
Predicted and observed normalized differential cross sections in the 5j3b fiducial phase space, for the inclusive jet multiplicity (upper left), the b-jet multiplicity (upper right), the inclusive jet $ H_{\mathrm{T}} $ (middle left, $ H^{j}_{\mathrm{T}} $), the $ H_{\mathrm{T}} $ of b jets (middle right, $ H^{\mathrm{b}}_{\mathrm{T}} $), the $ |\eta| $ of the third b jet (lower left), and the $ p_{\mathrm{T}} $ of the third b jet (lower right). The data are represented by points, with inner (outer) vertical bars indicating the systematic (total) uncertainties, also represented as grey (yellow) bands. Cross section predictions obtained at particle level from different simulation approaches are shown as coloured symbols with different shapes. For $ N_{\mathrm{b}} $, $ N_{\text{jets}} $, $ H_{\mathrm{T}} $, and $ p_{\mathrm{T}} $, the last bins contain the overflow. |
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Figure 9-a:
Predicted and observed normalized differential cross sections in the 5j3b fiducial phase space, for the inclusive jet multiplicity (upper left), the b-jet multiplicity (upper right), the inclusive jet $ H_{\mathrm{T}} $ (middle left, $ H^{j}_{\mathrm{T}} $), the $ H_{\mathrm{T}} $ of b jets (middle right, $ H^{\mathrm{b}}_{\mathrm{T}} $), the $ |\eta| $ of the third b jet (lower left), and the $ p_{\mathrm{T}} $ of the third b jet (lower right). The data are represented by points, with inner (outer) vertical bars indicating the systematic (total) uncertainties, also represented as grey (yellow) bands. Cross section predictions obtained at particle level from different simulation approaches are shown as coloured symbols with different shapes. For $ N_{\mathrm{b}} $, $ N_{\text{jets}} $, $ H_{\mathrm{T}} $, and $ p_{\mathrm{T}} $, the last bins contain the overflow. |
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Figure 9-b:
Predicted and observed normalized differential cross sections in the 5j3b fiducial phase space, for the inclusive jet multiplicity (upper left), the b-jet multiplicity (upper right), the inclusive jet $ H_{\mathrm{T}} $ (middle left, $ H^{j}_{\mathrm{T}} $), the $ H_{\mathrm{T}} $ of b jets (middle right, $ H^{\mathrm{b}}_{\mathrm{T}} $), the $ |\eta| $ of the third b jet (lower left), and the $ p_{\mathrm{T}} $ of the third b jet (lower right). The data are represented by points, with inner (outer) vertical bars indicating the systematic (total) uncertainties, also represented as grey (yellow) bands. Cross section predictions obtained at particle level from different simulation approaches are shown as coloured symbols with different shapes. For $ N_{\mathrm{b}} $, $ N_{\text{jets}} $, $ H_{\mathrm{T}} $, and $ p_{\mathrm{T}} $, the last bins contain the overflow. |
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Figure 9-c:
Predicted and observed normalized differential cross sections in the 5j3b fiducial phase space, for the inclusive jet multiplicity (upper left), the b-jet multiplicity (upper right), the inclusive jet $ H_{\mathrm{T}} $ (middle left, $ H^{j}_{\mathrm{T}} $), the $ H_{\mathrm{T}} $ of b jets (middle right, $ H^{\mathrm{b}}_{\mathrm{T}} $), the $ |\eta| $ of the third b jet (lower left), and the $ p_{\mathrm{T}} $ of the third b jet (lower right). The data are represented by points, with inner (outer) vertical bars indicating the systematic (total) uncertainties, also represented as grey (yellow) bands. Cross section predictions obtained at particle level from different simulation approaches are shown as coloured symbols with different shapes. For $ N_{\mathrm{b}} $, $ N_{\text{jets}} $, $ H_{\mathrm{T}} $, and $ p_{\mathrm{T}} $, the last bins contain the overflow. |
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Figure 9-d:
Predicted and observed normalized differential cross sections in the 5j3b fiducial phase space, for the inclusive jet multiplicity (upper left), the b-jet multiplicity (upper right), the inclusive jet $ H_{\mathrm{T}} $ (middle left, $ H^{j}_{\mathrm{T}} $), the $ H_{\mathrm{T}} $ of b jets (middle right, $ H^{\mathrm{b}}_{\mathrm{T}} $), the $ |\eta| $ of the third b jet (lower left), and the $ p_{\mathrm{T}} $ of the third b jet (lower right). The data are represented by points, with inner (outer) vertical bars indicating the systematic (total) uncertainties, also represented as grey (yellow) bands. Cross section predictions obtained at particle level from different simulation approaches are shown as coloured symbols with different shapes. For $ N_{\mathrm{b}} $, $ N_{\text{jets}} $, $ H_{\mathrm{T}} $, and $ p_{\mathrm{T}} $, the last bins contain the overflow. |
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Figure 9-e:
Predicted and observed normalized differential cross sections in the 5j3b fiducial phase space, for the inclusive jet multiplicity (upper left), the b-jet multiplicity (upper right), the inclusive jet $ H_{\mathrm{T}} $ (middle left, $ H^{j}_{\mathrm{T}} $), the $ H_{\mathrm{T}} $ of b jets (middle right, $ H^{\mathrm{b}}_{\mathrm{T}} $), the $ |\eta| $ of the third b jet (lower left), and the $ p_{\mathrm{T}} $ of the third b jet (lower right). The data are represented by points, with inner (outer) vertical bars indicating the systematic (total) uncertainties, also represented as grey (yellow) bands. Cross section predictions obtained at particle level from different simulation approaches are shown as coloured symbols with different shapes. For $ N_{\mathrm{b}} $, $ N_{\text{jets}} $, $ H_{\mathrm{T}} $, and $ p_{\mathrm{T}} $, the last bins contain the overflow. |
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Figure 9-f:
Predicted and observed normalized differential cross sections in the 5j3b fiducial phase space, for the inclusive jet multiplicity (upper left), the b-jet multiplicity (upper right), the inclusive jet $ H_{\mathrm{T}} $ (middle left, $ H^{j}_{\mathrm{T}} $), the $ H_{\mathrm{T}} $ of b jets (middle right, $ H^{\mathrm{b}}_{\mathrm{T}} $), the $ |\eta| $ of the third b jet (lower left), and the $ p_{\mathrm{T}} $ of the third b jet (lower right). The data are represented by points, with inner (outer) vertical bars indicating the systematic (total) uncertainties, also represented as grey (yellow) bands. Cross section predictions obtained at particle level from different simulation approaches are shown as coloured symbols with different shapes. For $ N_{\mathrm{b}} $, $ N_{\text{jets}} $, $ H_{\mathrm{T}} $, and $ p_{\mathrm{T}} $, the last bins contain the overflow. |
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Figure 10:
Predicted and observed normalized differential cross sections in the 6j4b fiducial phase space, for the inclusive jet $ H_{\mathrm{T}} $ (upper left), the $ H_{\mathrm{T}} $ of b jets (upper right), the $ |\eta| $ of the third b jet (middle left), the $ p_{\mathrm{T}} $ of the third b jet (middle right), the $ |\eta| $ of the fourth b jet (lower left), and the $ p_{\mathrm{T}} $ of the fourth b jet (lower right). The data are represented by points, with inner (outer) vertical bars indicating the systematic (total) uncertainties, also represented as grey (yellow) bands. Cross section predictions obtained at particle level from different simulation approaches are shown as coloured symbols with different shapes. For $ H_{\mathrm{T}} $ and $ p_{\mathrm{T}} $, the last bins contain the overflow. |
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Figure 10-a:
Predicted and observed normalized differential cross sections in the 6j4b fiducial phase space, for the inclusive jet $ H_{\mathrm{T}} $ (upper left), the $ H_{\mathrm{T}} $ of b jets (upper right), the $ |\eta| $ of the third b jet (middle left), the $ p_{\mathrm{T}} $ of the third b jet (middle right), the $ |\eta| $ of the fourth b jet (lower left), and the $ p_{\mathrm{T}} $ of the fourth b jet (lower right). The data are represented by points, with inner (outer) vertical bars indicating the systematic (total) uncertainties, also represented as grey (yellow) bands. Cross section predictions obtained at particle level from different simulation approaches are shown as coloured symbols with different shapes. For $ H_{\mathrm{T}} $ and $ p_{\mathrm{T}} $, the last bins contain the overflow. |
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Figure 10-b:
Predicted and observed normalized differential cross sections in the 6j4b fiducial phase space, for the inclusive jet $ H_{\mathrm{T}} $ (upper left), the $ H_{\mathrm{T}} $ of b jets (upper right), the $ |\eta| $ of the third b jet (middle left), the $ p_{\mathrm{T}} $ of the third b jet (middle right), the $ |\eta| $ of the fourth b jet (lower left), and the $ p_{\mathrm{T}} $ of the fourth b jet (lower right). The data are represented by points, with inner (outer) vertical bars indicating the systematic (total) uncertainties, also represented as grey (yellow) bands. Cross section predictions obtained at particle level from different simulation approaches are shown as coloured symbols with different shapes. For $ H_{\mathrm{T}} $ and $ p_{\mathrm{T}} $, the last bins contain the overflow. |
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Figure 10-c:
Predicted and observed normalized differential cross sections in the 6j4b fiducial phase space, for the inclusive jet $ H_{\mathrm{T}} $ (upper left), the $ H_{\mathrm{T}} $ of b jets (upper right), the $ |\eta| $ of the third b jet (middle left), the $ p_{\mathrm{T}} $ of the third b jet (middle right), the $ |\eta| $ of the fourth b jet (lower left), and the $ p_{\mathrm{T}} $ of the fourth b jet (lower right). The data are represented by points, with inner (outer) vertical bars indicating the systematic (total) uncertainties, also represented as grey (yellow) bands. Cross section predictions obtained at particle level from different simulation approaches are shown as coloured symbols with different shapes. For $ H_{\mathrm{T}} $ and $ p_{\mathrm{T}} $, the last bins contain the overflow. |
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Figure 10-d:
Predicted and observed normalized differential cross sections in the 6j4b fiducial phase space, for the inclusive jet $ H_{\mathrm{T}} $ (upper left), the $ H_{\mathrm{T}} $ of b jets (upper right), the $ |\eta| $ of the third b jet (middle left), the $ p_{\mathrm{T}} $ of the third b jet (middle right), the $ |\eta| $ of the fourth b jet (lower left), and the $ p_{\mathrm{T}} $ of the fourth b jet (lower right). The data are represented by points, with inner (outer) vertical bars indicating the systematic (total) uncertainties, also represented as grey (yellow) bands. Cross section predictions obtained at particle level from different simulation approaches are shown as coloured symbols with different shapes. For $ H_{\mathrm{T}} $ and $ p_{\mathrm{T}} $, the last bins contain the overflow. |
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Figure 10-e:
Predicted and observed normalized differential cross sections in the 6j4b fiducial phase space, for the inclusive jet $ H_{\mathrm{T}} $ (upper left), the $ H_{\mathrm{T}} $ of b jets (upper right), the $ |\eta| $ of the third b jet (middle left), the $ p_{\mathrm{T}} $ of the third b jet (middle right), the $ |\eta| $ of the fourth b jet (lower left), and the $ p_{\mathrm{T}} $ of the fourth b jet (lower right). The data are represented by points, with inner (outer) vertical bars indicating the systematic (total) uncertainties, also represented as grey (yellow) bands. Cross section predictions obtained at particle level from different simulation approaches are shown as coloured symbols with different shapes. For $ H_{\mathrm{T}} $ and $ p_{\mathrm{T}} $, the last bins contain the overflow. |
png pdf |
Figure 10-f:
Predicted and observed normalized differential cross sections in the 6j4b fiducial phase space, for the inclusive jet $ H_{\mathrm{T}} $ (upper left), the $ H_{\mathrm{T}} $ of b jets (upper right), the $ |\eta| $ of the third b jet (middle left), the $ p_{\mathrm{T}} $ of the third b jet (middle right), the $ |\eta| $ of the fourth b jet (lower left), and the $ p_{\mathrm{T}} $ of the fourth b jet (lower right). The data are represented by points, with inner (outer) vertical bars indicating the systematic (total) uncertainties, also represented as grey (yellow) bands. Cross section predictions obtained at particle level from different simulation approaches are shown as coloured symbols with different shapes. For $ H_{\mathrm{T}} $ and $ p_{\mathrm{T}} $, the last bins contain the overflow. |
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Figure 11:
Predicted and observed normalized differential cross sections in the 6j4b fiducial phase space, for the average $ \Delta\mathrm{R} $ of all possible $ \mathrm{b} \bar{\mathrm{b}} $\ pairs (upper left), the largest invariant mass of any $ \mathrm{b} \bar{\mathrm{b}} $\ pair (upper right), the invariant mass (middle left), $ \Delta\mathrm{R} $ (middle right), $ p_{\mathrm{T}} $ (lower left), and $ |\eta| $ (lower right) of the extra b-jet pair. The data are represented by points, with inner (outer) vertical bars indicating the systematic (total) uncertainties, also represented as grey (yellow) bands. Cross section predictions obtained at particle level from different simulation approaches are shown as coloured symbols. For $ \mathrm{m}_{\mathrm{b}\mathrm{b}} $ and $ p_{\mathrm{T}} $, the last bins contain the overflow. |
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Figure 11-a:
Predicted and observed normalized differential cross sections in the 6j4b fiducial phase space, for the average $ \Delta\mathrm{R} $ of all possible $ \mathrm{b} \bar{\mathrm{b}} $\ pairs (upper left), the largest invariant mass of any $ \mathrm{b} \bar{\mathrm{b}} $\ pair (upper right), the invariant mass (middle left), $ \Delta\mathrm{R} $ (middle right), $ p_{\mathrm{T}} $ (lower left), and $ |\eta| $ (lower right) of the extra b-jet pair. The data are represented by points, with inner (outer) vertical bars indicating the systematic (total) uncertainties, also represented as grey (yellow) bands. Cross section predictions obtained at particle level from different simulation approaches are shown as coloured symbols. For $ \mathrm{m}_{\mathrm{b}\mathrm{b}} $ and $ p_{\mathrm{T}} $, the last bins contain the overflow. |
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Figure 11-b:
Predicted and observed normalized differential cross sections in the 6j4b fiducial phase space, for the average $ \Delta\mathrm{R} $ of all possible $ \mathrm{b} \bar{\mathrm{b}} $\ pairs (upper left), the largest invariant mass of any $ \mathrm{b} \bar{\mathrm{b}} $\ pair (upper right), the invariant mass (middle left), $ \Delta\mathrm{R} $ (middle right), $ p_{\mathrm{T}} $ (lower left), and $ |\eta| $ (lower right) of the extra b-jet pair. The data are represented by points, with inner (outer) vertical bars indicating the systematic (total) uncertainties, also represented as grey (yellow) bands. Cross section predictions obtained at particle level from different simulation approaches are shown as coloured symbols. For $ \mathrm{m}_{\mathrm{b}\mathrm{b}} $ and $ p_{\mathrm{T}} $, the last bins contain the overflow. |
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Figure 11-c:
Predicted and observed normalized differential cross sections in the 6j4b fiducial phase space, for the average $ \Delta\mathrm{R} $ of all possible $ \mathrm{b} \bar{\mathrm{b}} $\ pairs (upper left), the largest invariant mass of any $ \mathrm{b} \bar{\mathrm{b}} $\ pair (upper right), the invariant mass (middle left), $ \Delta\mathrm{R} $ (middle right), $ p_{\mathrm{T}} $ (lower left), and $ |\eta| $ (lower right) of the extra b-jet pair. The data are represented by points, with inner (outer) vertical bars indicating the systematic (total) uncertainties, also represented as grey (yellow) bands. Cross section predictions obtained at particle level from different simulation approaches are shown as coloured symbols. For $ \mathrm{m}_{\mathrm{b}\mathrm{b}} $ and $ p_{\mathrm{T}} $, the last bins contain the overflow. |
png pdf |
Figure 11-d:
Predicted and observed normalized differential cross sections in the 6j4b fiducial phase space, for the average $ \Delta\mathrm{R} $ of all possible $ \mathrm{b} \bar{\mathrm{b}} $\ pairs (upper left), the largest invariant mass of any $ \mathrm{b} \bar{\mathrm{b}} $\ pair (upper right), the invariant mass (middle left), $ \Delta\mathrm{R} $ (middle right), $ p_{\mathrm{T}} $ (lower left), and $ |\eta| $ (lower right) of the extra b-jet pair. The data are represented by points, with inner (outer) vertical bars indicating the systematic (total) uncertainties, also represented as grey (yellow) bands. Cross section predictions obtained at particle level from different simulation approaches are shown as coloured symbols. For $ \mathrm{m}_{\mathrm{b}\mathrm{b}} $ and $ p_{\mathrm{T}} $, the last bins contain the overflow. |
png pdf |
Figure 11-e:
Predicted and observed normalized differential cross sections in the 6j4b fiducial phase space, for the average $ \Delta\mathrm{R} $ of all possible $ \mathrm{b} \bar{\mathrm{b}} $\ pairs (upper left), the largest invariant mass of any $ \mathrm{b} \bar{\mathrm{b}} $\ pair (upper right), the invariant mass (middle left), $ \Delta\mathrm{R} $ (middle right), $ p_{\mathrm{T}} $ (lower left), and $ |\eta| $ (lower right) of the extra b-jet pair. The data are represented by points, with inner (outer) vertical bars indicating the systematic (total) uncertainties, also represented as grey (yellow) bands. Cross section predictions obtained at particle level from different simulation approaches are shown as coloured symbols. For $ \mathrm{m}_{\mathrm{b}\mathrm{b}} $ and $ p_{\mathrm{T}} $, the last bins contain the overflow. |
png pdf |
Figure 11-f:
Predicted and observed normalized differential cross sections in the 6j4b fiducial phase space, for the average $ \Delta\mathrm{R} $ of all possible $ \mathrm{b} \bar{\mathrm{b}} $\ pairs (upper left), the largest invariant mass of any $ \mathrm{b} \bar{\mathrm{b}} $\ pair (upper right), the invariant mass (middle left), $ \Delta\mathrm{R} $ (middle right), $ p_{\mathrm{T}} $ (lower left), and $ |\eta| $ (lower right) of the extra b-jet pair. The data are represented by points, with inner (outer) vertical bars indicating the systematic (total) uncertainties, also represented as grey (yellow) bands. Cross section predictions obtained at particle level from different simulation approaches are shown as coloured symbols. For $ \mathrm{m}_{\mathrm{b}\mathrm{b}} $ and $ p_{\mathrm{T}} $, the last bins contain the overflow. |
png pdf |
Figure 12:
Predicted and observed normalized differential cross sections in the 6j4b fiducial phase space, for the $ |\eta| $ (upper left) and $ p_{\mathrm{T}} $ (upper right) of the first extra b jet, the $ |\eta| $ (middle left) and $ p_{\mathrm{T}} $ (middle right) of the second extra b jet, and the inclusive jet multiplicity (lower left). The data are represented by points, with inner (outer) vertical bars indicating the systematic (total) uncertainties, also represented as grey (yellow) bands. Cross section predictions obtained at particle level from different simulation approaches are shown as coloured symbols. For $ N_{\text{jets}} $ and $ p_{\mathrm{T}} $, the last bins contain the overflow. |
png pdf |
Figure 12-a:
Predicted and observed normalized differential cross sections in the 6j4b fiducial phase space, for the $ |\eta| $ (upper left) and $ p_{\mathrm{T}} $ (upper right) of the first extra b jet, the $ |\eta| $ (middle left) and $ p_{\mathrm{T}} $ (middle right) of the second extra b jet, and the inclusive jet multiplicity (lower left). The data are represented by points, with inner (outer) vertical bars indicating the systematic (total) uncertainties, also represented as grey (yellow) bands. Cross section predictions obtained at particle level from different simulation approaches are shown as coloured symbols. For $ N_{\text{jets}} $ and $ p_{\mathrm{T}} $, the last bins contain the overflow. |
png pdf |
Figure 12-b:
Predicted and observed normalized differential cross sections in the 6j4b fiducial phase space, for the $ |\eta| $ (upper left) and $ p_{\mathrm{T}} $ (upper right) of the first extra b jet, the $ |\eta| $ (middle left) and $ p_{\mathrm{T}} $ (middle right) of the second extra b jet, and the inclusive jet multiplicity (lower left). The data are represented by points, with inner (outer) vertical bars indicating the systematic (total) uncertainties, also represented as grey (yellow) bands. Cross section predictions obtained at particle level from different simulation approaches are shown as coloured symbols. For $ N_{\text{jets}} $ and $ p_{\mathrm{T}} $, the last bins contain the overflow. |
png pdf |
Figure 12-c:
Predicted and observed normalized differential cross sections in the 6j4b fiducial phase space, for the $ |\eta| $ (upper left) and $ p_{\mathrm{T}} $ (upper right) of the first extra b jet, the $ |\eta| $ (middle left) and $ p_{\mathrm{T}} $ (middle right) of the second extra b jet, and the inclusive jet multiplicity (lower left). The data are represented by points, with inner (outer) vertical bars indicating the systematic (total) uncertainties, also represented as grey (yellow) bands. Cross section predictions obtained at particle level from different simulation approaches are shown as coloured symbols. For $ N_{\text{jets}} $ and $ p_{\mathrm{T}} $, the last bins contain the overflow. |
png pdf |
Figure 12-d:
Predicted and observed normalized differential cross sections in the 6j4b fiducial phase space, for the $ |\eta| $ (upper left) and $ p_{\mathrm{T}} $ (upper right) of the first extra b jet, the $ |\eta| $ (middle left) and $ p_{\mathrm{T}} $ (middle right) of the second extra b jet, and the inclusive jet multiplicity (lower left). The data are represented by points, with inner (outer) vertical bars indicating the systematic (total) uncertainties, also represented as grey (yellow) bands. Cross section predictions obtained at particle level from different simulation approaches are shown as coloured symbols. For $ N_{\text{jets}} $ and $ p_{\mathrm{T}} $, the last bins contain the overflow. |
png pdf |
Figure 12-e:
Predicted and observed normalized differential cross sections in the 6j4b fiducial phase space, for the $ |\eta| $ (upper left) and $ p_{\mathrm{T}} $ (upper right) of the first extra b jet, the $ |\eta| $ (middle left) and $ p_{\mathrm{T}} $ (middle right) of the second extra b jet, and the inclusive jet multiplicity (lower left). The data are represented by points, with inner (outer) vertical bars indicating the systematic (total) uncertainties, also represented as grey (yellow) bands. Cross section predictions obtained at particle level from different simulation approaches are shown as coloured symbols. For $ N_{\text{jets}} $ and $ p_{\mathrm{T}} $, the last bins contain the overflow. |
png pdf |
Figure 13:
Predicted and observed normalized differential cross sections in the 6j4b fiducial phase space, for the invariant mass (upper left), $ \Delta\mathrm{R} $ (upper right), $ p_{\mathrm{T}} $ (lower left), and $ |\eta| $ (lower right) of the additional b-jet pair not originating from decaying top quarks. The data are represented by points, with inner (outer) vertical bars indicating the systematic (total) uncertainties, also represented as grey (yellow) bands. Cross section predictions obtained at particle level from different simulation approaches are shown as coloured symbols. For $ \mathrm{m}_{\mathrm{b}\mathrm{b}} $ and $ p_{\mathrm{T}} $, the last bins contain the overflow. |
png pdf |
Figure 13-a:
Predicted and observed normalized differential cross sections in the 6j4b fiducial phase space, for the invariant mass (upper left), $ \Delta\mathrm{R} $ (upper right), $ p_{\mathrm{T}} $ (lower left), and $ |\eta| $ (lower right) of the additional b-jet pair not originating from decaying top quarks. The data are represented by points, with inner (outer) vertical bars indicating the systematic (total) uncertainties, also represented as grey (yellow) bands. Cross section predictions obtained at particle level from different simulation approaches are shown as coloured symbols. For $ \mathrm{m}_{\mathrm{b}\mathrm{b}} $ and $ p_{\mathrm{T}} $, the last bins contain the overflow. |
png pdf |
Figure 13-b:
Predicted and observed normalized differential cross sections in the 6j4b fiducial phase space, for the invariant mass (upper left), $ \Delta\mathrm{R} $ (upper right), $ p_{\mathrm{T}} $ (lower left), and $ |\eta| $ (lower right) of the additional b-jet pair not originating from decaying top quarks. The data are represented by points, with inner (outer) vertical bars indicating the systematic (total) uncertainties, also represented as grey (yellow) bands. Cross section predictions obtained at particle level from different simulation approaches are shown as coloured symbols. For $ \mathrm{m}_{\mathrm{b}\mathrm{b}} $ and $ p_{\mathrm{T}} $, the last bins contain the overflow. |
png pdf |
Figure 13-c:
Predicted and observed normalized differential cross sections in the 6j4b fiducial phase space, for the invariant mass (upper left), $ \Delta\mathrm{R} $ (upper right), $ p_{\mathrm{T}} $ (lower left), and $ |\eta| $ (lower right) of the additional b-jet pair not originating from decaying top quarks. The data are represented by points, with inner (outer) vertical bars indicating the systematic (total) uncertainties, also represented as grey (yellow) bands. Cross section predictions obtained at particle level from different simulation approaches are shown as coloured symbols. For $ \mathrm{m}_{\mathrm{b}\mathrm{b}} $ and $ p_{\mathrm{T}} $, the last bins contain the overflow. |
png pdf |
Figure 13-d:
Predicted and observed normalized differential cross sections in the 6j4b fiducial phase space, for the invariant mass (upper left), $ \Delta\mathrm{R} $ (upper right), $ p_{\mathrm{T}} $ (lower left), and $ |\eta| $ (lower right) of the additional b-jet pair not originating from decaying top quarks. The data are represented by points, with inner (outer) vertical bars indicating the systematic (total) uncertainties, also represented as grey (yellow) bands. Cross section predictions obtained at particle level from different simulation approaches are shown as coloured symbols. For $ \mathrm{m}_{\mathrm{b}\mathrm{b}} $ and $ p_{\mathrm{T}} $, the last bins contain the overflow. |
png pdf |
Figure 14:
Predicted and observed normalized differential cross sections in the 6j4b fiducial phase space, for the $ |\eta| $ (left) and $ p_{\mathrm{T}} $ (right) of the first (upper row) and second (lower row) additional b of the b-jet pair not originating from decaying top quarks. The data are represented by points, with inner (outer) vertical bars indicating the systematic (total) uncertainties, also represented as grey (yellow) bands. Cross section predictions obtained at particle level from different simulation approaches are shown as coloured symbols. For $ p_{\mathrm{T}} $, the last bins contain the overflow. |
png pdf |
Figure 14-a:
Predicted and observed normalized differential cross sections in the 6j4b fiducial phase space, for the $ |\eta| $ (left) and $ p_{\mathrm{T}} $ (right) of the first (upper row) and second (lower row) additional b of the b-jet pair not originating from decaying top quarks. The data are represented by points, with inner (outer) vertical bars indicating the systematic (total) uncertainties, also represented as grey (yellow) bands. Cross section predictions obtained at particle level from different simulation approaches are shown as coloured symbols. For $ p_{\mathrm{T}} $, the last bins contain the overflow. |
png pdf |
Figure 14-b:
Predicted and observed normalized differential cross sections in the 6j4b fiducial phase space, for the $ |\eta| $ (left) and $ p_{\mathrm{T}} $ (right) of the first (upper row) and second (lower row) additional b of the b-jet pair not originating from decaying top quarks. The data are represented by points, with inner (outer) vertical bars indicating the systematic (total) uncertainties, also represented as grey (yellow) bands. Cross section predictions obtained at particle level from different simulation approaches are shown as coloured symbols. For $ p_{\mathrm{T}} $, the last bins contain the overflow. |
png pdf |
Figure 14-c:
Predicted and observed normalized differential cross sections in the 6j4b fiducial phase space, for the $ |\eta| $ (left) and $ p_{\mathrm{T}} $ (right) of the first (upper row) and second (lower row) additional b of the b-jet pair not originating from decaying top quarks. The data are represented by points, with inner (outer) vertical bars indicating the systematic (total) uncertainties, also represented as grey (yellow) bands. Cross section predictions obtained at particle level from different simulation approaches are shown as coloured symbols. For $ p_{\mathrm{T}} $, the last bins contain the overflow. |
png pdf |
Figure 14-d:
Predicted and observed normalized differential cross sections in the 6j4b fiducial phase space, for the $ |\eta| $ (left) and $ p_{\mathrm{T}} $ (right) of the first (upper row) and second (lower row) additional b of the b-jet pair not originating from decaying top quarks. The data are represented by points, with inner (outer) vertical bars indicating the systematic (total) uncertainties, also represented as grey (yellow) bands. Cross section predictions obtained at particle level from different simulation approaches are shown as coloured symbols. For $ p_{\mathrm{T}} $, the last bins contain the overflow. |
png pdf |
Figure 15:
Predicted and observed normalized differential cross sections in the 6j3b3l (left) and 7j4b3l (right) fiducial phase space regions, for the $ H_{\mathrm{T}} $ of light jets (upper row), the $ p_{\mathrm{T}} $ of the extra light jet (middle row), and the $ \Delta\phi $ between the extra light jet and the softest b jet (lower row). The data are represented by points, with inner (outer) vertical bars indicating the systematic (total) uncertainties, also represented as grey (yellow) bands. Cross section predictions obtained at particle level from different simulation approaches are shown as coloured symbols with different shapes. For $ H_{\mathrm{T}} $ and $ p_{\mathrm{T}} $, the last bins contain the overflow. |
png pdf |
Figure 15-a:
Predicted and observed normalized differential cross sections in the 6j3b3l (left) and 7j4b3l (right) fiducial phase space regions, for the $ H_{\mathrm{T}} $ of light jets (upper row), the $ p_{\mathrm{T}} $ of the extra light jet (middle row), and the $ \Delta\phi $ between the extra light jet and the softest b jet (lower row). The data are represented by points, with inner (outer) vertical bars indicating the systematic (total) uncertainties, also represented as grey (yellow) bands. Cross section predictions obtained at particle level from different simulation approaches are shown as coloured symbols with different shapes. For $ H_{\mathrm{T}} $ and $ p_{\mathrm{T}} $, the last bins contain the overflow. |
png pdf |
Figure 15-b:
Predicted and observed normalized differential cross sections in the 6j3b3l (left) and 7j4b3l (right) fiducial phase space regions, for the $ H_{\mathrm{T}} $ of light jets (upper row), the $ p_{\mathrm{T}} $ of the extra light jet (middle row), and the $ \Delta\phi $ between the extra light jet and the softest b jet (lower row). The data are represented by points, with inner (outer) vertical bars indicating the systematic (total) uncertainties, also represented as grey (yellow) bands. Cross section predictions obtained at particle level from different simulation approaches are shown as coloured symbols with different shapes. For $ H_{\mathrm{T}} $ and $ p_{\mathrm{T}} $, the last bins contain the overflow. |
png pdf |
Figure 15-c:
Predicted and observed normalized differential cross sections in the 6j3b3l (left) and 7j4b3l (right) fiducial phase space regions, for the $ H_{\mathrm{T}} $ of light jets (upper row), the $ p_{\mathrm{T}} $ of the extra light jet (middle row), and the $ \Delta\phi $ between the extra light jet and the softest b jet (lower row). The data are represented by points, with inner (outer) vertical bars indicating the systematic (total) uncertainties, also represented as grey (yellow) bands. Cross section predictions obtained at particle level from different simulation approaches are shown as coloured symbols with different shapes. For $ H_{\mathrm{T}} $ and $ p_{\mathrm{T}} $, the last bins contain the overflow. |
png pdf |
Figure 15-d:
Predicted and observed normalized differential cross sections in the 6j3b3l (left) and 7j4b3l (right) fiducial phase space regions, for the $ H_{\mathrm{T}} $ of light jets (upper row), the $ p_{\mathrm{T}} $ of the extra light jet (middle row), and the $ \Delta\phi $ between the extra light jet and the softest b jet (lower row). The data are represented by points, with inner (outer) vertical bars indicating the systematic (total) uncertainties, also represented as grey (yellow) bands. Cross section predictions obtained at particle level from different simulation approaches are shown as coloured symbols with different shapes. For $ H_{\mathrm{T}} $ and $ p_{\mathrm{T}} $, the last bins contain the overflow. |
png pdf |
Figure 15-e:
Predicted and observed normalized differential cross sections in the 6j3b3l (left) and 7j4b3l (right) fiducial phase space regions, for the $ H_{\mathrm{T}} $ of light jets (upper row), the $ p_{\mathrm{T}} $ of the extra light jet (middle row), and the $ \Delta\phi $ between the extra light jet and the softest b jet (lower row). The data are represented by points, with inner (outer) vertical bars indicating the systematic (total) uncertainties, also represented as grey (yellow) bands. Cross section predictions obtained at particle level from different simulation approaches are shown as coloured symbols with different shapes. For $ H_{\mathrm{T}} $ and $ p_{\mathrm{T}} $, the last bins contain the overflow. |
png pdf |
Figure 15-f:
Predicted and observed normalized differential cross sections in the 6j3b3l (left) and 7j4b3l (right) fiducial phase space regions, for the $ H_{\mathrm{T}} $ of light jets (upper row), the $ p_{\mathrm{T}} $ of the extra light jet (middle row), and the $ \Delta\phi $ between the extra light jet and the softest b jet (lower row). The data are represented by points, with inner (outer) vertical bars indicating the systematic (total) uncertainties, also represented as grey (yellow) bands. Cross section predictions obtained at particle level from different simulation approaches are shown as coloured symbols with different shapes. For $ H_{\mathrm{T}} $ and $ p_{\mathrm{T}} $, the last bins contain the overflow. |
png pdf |
Figure 16:
Observed $ z $ score for each of the theoretical predictions, given the unfolded normalized differential cross sections and their covariances. A lower value indicates a better agreement between prediction and measurement. The dashed line at $ z= $ 2 indicates a $ p $-value of 5%. Predictions for which the $ z $ score exceeds the visible range of the figure are marked with arrows ($ \rightarrow $). |
png pdf |
Figure A1:
$ |\eta| $ of the b jet with third highest $ p_{\mathrm{T}} $ in the 5j3b phase space. |
png pdf |
Figure A2:
$ |\eta| $ of the subleading extra b jet in the 6j4b phase space. |
png pdf |
Figure A3:
$ H_{\mathrm{T}} $ of light jets in the 6j3b3l phase space. |
png pdf |
Figure A4:
$ \Delta\phi $ between leading light jet and softest b jet in the 7j4b3l phase space. |
png pdf |
Figure B1:
$ |\eta| $ of the b jet with third highest $ p_{\mathrm{T}} $ in the 5j3b phase space. |
png pdf |
Figure B2:
$ |\eta| $ of the subleading extra b jet in the 6j4b phase space. |
png pdf |
Figure B3:
$ H_{\mathrm{T}} $ of light jets in the 6j3b3l phase space. |
png pdf |
Figure B4:
$ \Delta\phi $ between leading light jet and softest b jet in the 7j4b3l phase space. |
png pdf |
Figure C1:
$ |\eta| $ of the subleading extra b jet in the 6j4b phase space. |
png pdf |
Figure C2:
$ H_{\mathrm{T}} $ of light jets in the 6j3b3l phase space. |
png pdf |
Figure C3:
$ \Delta\phi $ between leading light jet and softest b jet in the 7j4b3l phase space. |
| Tables | |
png pdf |
Table 1:
Description of all measured observables for each of the four fiducial phase space regions. Observables marked as checkmark rely on the definition of additional b jets, and do not fully correspond to the 6j4b fiducial phase space defined at particle level, but also require the presence of b jets without top (anti)quarks in their simulated history. |
png pdf |
Table 2:
Summary of the systematic uncertainty sources in the inclusive and differential $ {\mathrm{t}\bar{\mathrm{t}}} \mathrm{b}\bar{\mathrm{b}} $ cross section measurements. The first column lists the source of the uncertainty. The second (third) column indicates the treatment of correlations between the uncertainties between the data-taking periods (processes), where a checkmark means fully correlated, $ \sim $ means partially correlated (i.e.,, contains sub-sources that are either fully correlated or uncorrelated), $ \times $ means uncorrelated, and --- means not applicable. |
png pdf |
Table 3:
Contributions of the considered sources of uncertainty to the total uncertainty in the inclusive cross sections. For each source, the impacts of the corresponding nuisance parameters on the total cross section are combined, taking into account their correlation in the fit. The numbers show relative uncertainties (in %). The statistical uncertainty is obtained as the difference, in quadrature, between the total uncertainty and the sum of all systematic uncertainties. |
png pdf |
Table 4:
Measured and predicted inclusive cross sections in the four considered phase space regions (in fb). |
png pdf |
Table D1:
Observed $ z $ score for each of the theoretical predictions in the 5j3b phase space, given the unfolded data and covariance matrix. For the determination of the $ z $ score only the measurement uncertainties are considered. |
png pdf |
Table D2:
Observed z-score for each of the theoretical predictions in the 6j4b phase space, given the unfolded data and covariance matrix. For the determination of the $ z $ score only the measurement uncertainties are considered. |
png pdf |
Table D3:
Observed $ z $ score for each of the theoretical predictions in the 6j4b phase space of the observables related to the $ \mathrm{b}\mathrm{b}^{\text{extra}} $ pair, given the unfolded data and covariance matrix. For the determination of the $ z $ score only the measurement uncertainties are considered. |
png pdf |
Table D4:
Observed $ z $ score for each of the theoretical predictions in the 6j4b phase space of the observables related to the $ \mathrm{b}\mathrm{b}^{\text{add.}} $ pair, given the unfolded data and covariance matrix. For the determination of the $ z $ score only the measurement uncertainties are considered. |
png pdf |
Table D5:
Observed $ z $ score for each of the theoretical predictions in the 6j3b3l phase space, given the unfolded data and covariance matrix. For the determination of the $ z $ score only the measurement uncertainties are considered. |
png pdf |
Table D6:
Observed $ z $ score for each of the theoretical predictions in the 7j4b3l phase space, given the unfolded data and covariance matrix. For the determination of the $ z $ score only the measurement uncertainties are considered. |
| Summary |
| Measurements of inclusive and normalized differential cross sections of $ \mathrm{t} \bar{\mathrm{t}} $ production in association with b jets, for events containing an electron or a muon, have been presented. These measurements use pp collision data recorded by the CMS detector at $ \sqrt{s} = $ 13 TeV and correspond to an integrated luminosity of 138 fb$^{-1}$. The inclusive cross sections are measured in four phase space regions requiring different jet, b-jet, and light-jet multiplicities. With total uncertainties of 6--18%, depending on the phase space, these are the most precise measurements of the $ {\mathrm{t}\bar{\mathrm{t}}} \mathrm{b}\bar{\mathrm{b}} $ cross section to date. The uncertainties are dominated by systematic sources, with the leading uncertainties originating from the calibration of the b tagging and of the jet energy scale, and from the choice of renormalization scale in the signal $ {\mathrm{t}\bar{\mathrm{t}}} \mathrm{b}\bar{\mathrm{b}} $ and background $ \mathrm{t} \bar{\mathrm{t}} $ processes. Differential cross section measurements are performed as a function of several observables in the aforementioned phase space regions. These observables mainly target b jets as well as additional light jets produced in association with the top quark pairs. In the 6j4b phase space, the additional b-jet radiation is probed with two different approaches. The first approach uses observables defined purely at the particle level, without any reference to the top quark decay chains, by selecting the two b jets closest in $ \Delta\mathrm{R} $. The second approach uses explicitly at generator level the b jets which do not originate from top quark decays, and identifies those jets at the detector level with a deep neural network discriminant. The differential measurements have relative uncertainties in the range of 2--50%, depending on the phase space and the observable. The results are compared to the predictions of several event generators, and it is found that none of them simultaneously describe all measured distributions in the various phase space regions. In the more inclusive phase space with five jets and three b jets, the agreement between data and predictions is generally poor, while in the phase space with six jets and four b jets, corresponding to the case in which the two additional b jets in $ {\mathrm{t}\bar{\mathrm{t}}} \mathrm{b}\bar{\mathrm{b}} $ production are resolved, most predictions are compatible with the data within the larger experimental uncertainties. These measurements of $ {\mathrm{t}\bar{\mathrm{t}}} \mathrm{b}\bar{\mathrm{b}} $ production will help to further tune and refine the theoretical predictions and better assess the validity of the theoretical uncertainties estimated from the various $ {\mathrm{t}\bar{\mathrm{t}}} \mathrm{b}\bar{\mathrm{b}} $ event generators. |
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