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CMS-PAS-TOP-16-010
Measurement of the cross section ratio $ \sigma_{\rm t\bar{t}b\bar{b}} $ / $ \sigma_{\rm t\bar{t}jj} $ using dilepton final states in pp collisions at $\sqrt{s} =$ 13 TeV
Abstract: The measurement of the cross section ratio $ \sigma_{\rm t\bar{t}b\bar{b}} $ / $ \sigma_{\rm t\bar{t}jj} $ is presented using a data sample corresponding to an integrated luminosity of 2.3 fb$^{-1}$ collected in pp collisions at $\sqrt{s} =$ 13 TeV with the CMS detector at the LHC. Events with two leptons (${\rm e}$ or $\mu$) and at least four reconstructed jets, including at least two identified as b quark jets, in the final state are selected. The measured ratio is 0.022 $\pm$ 0.003 (stat) $\pm$ 0.006 (syst) and cross section $ \sigma_{\rm t\bar{t}b\bar{b}} $ is 3.9 $\pm$ 0.6 (stat) $\pm$ 1.3 (syst) pb and $ \sigma_{\rm t\bar{t}jj} $ is 176 $\pm$ 5 (stat) $\pm$ 33 (syst) pb in the full phase space. The measurement is compatible with the expectation obtained from the POWHEG simulation interfaced with PYTHIA.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1-a:
Normalized distributions of the b jet discriminator for the third (a) and fourth (b) jets in an event, sorted in decreasing order of b-tagging discriminator value, after the full event selection. The histograms are obtained from MC simulation and are separated according to jet flavour.

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Figure 1-b:
Normalized distributions of the b jet discriminator for the third (a) and fourth (b) jets in an event, sorted in decreasing order of b-tagging discriminator value, after the full event selection. The histograms are obtained from MC simulation and are separated according to jet flavour.

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Figure 2-a:
Distributions of b jet discriminator for the third (a) and fourth (b) jets in events in decreasing order of b-tagging discriminator value, after the full event selection. Points are from data and stacked histograms from MC simulation. The ratio of the number of data events to the total number of MC events after the fit is shown in the lower panels.

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Figure 2-b:
Distributions of b jet discriminator for the third (a) and fourth (b) jets in events in decreasing order of b-tagging discriminator value, after the full event selection. Points are from data and stacked histograms from MC simulation. The ratio of the number of data events to the total number of MC events after the fit is shown in the lower panels.

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Figure 3-a:
Distribution of b jet multiplicity after the 4 jet requirement but without the b-tagging requirement for the ${\mathrm{ e }^+\mathrm{ e }^- }$ (a), ${\mathrm {e^\pm }\mu ^\mp }$ (b) and ${\mu^+ \mu^- }$ (c) final states and the sum of the three final states (d). Points are from data and stacked histograms from MC simulation. The ratio of the number of data events to the total number of MC events after the fit is shown in the lower panel.

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Figure 3-b:
Distribution of b jet multiplicity after the 4 jet requirement but without the b-tagging requirement for the ${\mathrm{ e }^+\mathrm{ e }^- }$ (a), ${\mathrm {e^\pm }\mu ^\mp }$ (b) and ${\mu^+ \mu^- }$ (c) final states and the sum of the three final states (d). Points are from data and stacked histograms from MC simulation. The ratio of the number of data events to the total number of MC events after the fit is shown in the lower panel.

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Figure 3-c:
Distribution of b jet multiplicity after the 4 jet requirement but without the b-tagging requirement for the ${\mathrm{ e }^+\mathrm{ e }^- }$ (a), ${\mathrm {e^\pm }\mu ^\mp }$ (b) and ${\mu^+ \mu^- }$ (c) final states and the sum of the three final states (d). Points are from data and stacked histograms from MC simulation. The ratio of the number of data events to the total number of MC events after the fit is shown in the lower panel.

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Figure 3-d:
Distribution of b jet multiplicity after the 4 jet requirement but without the b-tagging requirement for the ${\mathrm{ e }^+\mathrm{ e }^- }$ (a), ${\mathrm {e^\pm }\mu ^\mp }$ (b) and ${\mu^+ \mu^- }$ (c) final states and the sum of the three final states (d). Points are from data and stacked histograms from MC simulation. The ratio of the number of data events to the total number of MC events after the fit is shown in the lower panel.
Tables

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Table 1:
The predicted number of events for each physics process and for each dilepton category, their total, and the observed total number of events. The results are shown after the final event selection. The $\mathrm{Z}/\gamma ^* \to \ell \ell $ uncertainty is from data, while all other uncertainties include only the statistical uncertainties in the MC samples.

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Table 2:
Summary of the systematic uncertainties from various sources contributing to $ {\sigma _{ {\mathrm{ t \bar{t} } \mathrm{ b \bar{b} } } }} $, $ {\sigma _{ {\mathrm{ t \bar{t} } \mathrm {jj}} }} $, and the ratio $ {\sigma _{ {\mathrm{ t \bar{t} } \mathrm{ b \bar{b} } } }} $/$ {\sigma _{ {\mathrm{ t \bar{t} } \mathrm {jj}} }} $ for a jet ${p_{\mathrm {T}}} $threshold of ${p_{\mathrm {T}}} > $ 20 GeV in the visible phase space.

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Table 3:
The measured cross sections ${\sigma _{ {\mathrm{ t \bar{t} } \mathrm{ b \bar{b} } } }} $ and ${\sigma _{ {\mathrm{ t \bar{t} } \mathrm {jj}} }} $ and their ratio are given for the visible phase space defined as exclusively two leptons with $ {p_{\mathrm {T}}} >$ 20 GeV and $ {| \eta | }< $ 2.4 plus 4 jets, including two b jets with $ {p_{\mathrm {T}}} >$ 20 GeV and $ {| \eta | }< $ 2.5, and the full phase space, corrected for acceptance and branching fractions. The uncertainties shown are statistical and systematic, respectively, for the measurements.
Summary
A measurement of the cross section ratio ${\sigma_{ {\mathrm{t }\mathrm{ \bar{t} }\mathrm{ b \bar{b} }}}} /{\sigma_{{\mathrm{t }\mathrm{ \bar{t} }{jj}} }}$ is presented using a data sample produced after collisions at $\sqrt{s} =$ 13 TeV, corresponding to an integrated luminosity of 2.3 fb$^{-1}$. The individual cross sections ${\sigma_{{\mathrm{t }\mathrm{ \bar{t} }{jj}} }}$ and ${\sigma_{{\mathrm{t }\mathrm{ \bar{t} }\mathrm{ b \bar{b} }}}}$ have also been determined. The cross section ratio was measured in a visible phase space region using the dilepton decay mode of $\mathrm{ t \bar{t} }$ events and corrected to the particle level, corresponding to the detector acceptance. The measured cross section ratios in the visible and full phase space are ${\sigma_{ {\mathrm{t }\mathrm{ \bar{t} }\mathrm{ b \bar{b} }}}} /{\sigma_{{\mathrm{t }\mathrm{ \bar{t} }{jj}} }} =$ 0.024 $\pm$ 0.003 (stat) $\pm$ 0.007 (syst) and ${\sigma_{ {\mathrm{t }\mathrm{ \bar{t} }\mathrm{ b \bar{b} }}}} /{\sigma_{{\mathrm{t }\mathrm{ \bar{t} }{jj}} }} =$ 0.022 $\pm$ 0.003 (stat) $\pm$ 0.006 (syst), respectively, requiring a minimum $p_{\mathrm{T}}$ for the particle-level jets of 20 GeV. The measurement is compatible with the expectation obtained from the POWHEG simulation (interfaced with PYTHIA) which is 0.014 $\pm$ 0.001 for the visible and 0.012 $\pm$ 0.001 for full phase space. The measured cross section ${\sigma_{{\mathrm{t }\mathrm{ \bar{t} }\mathrm{ b \bar{b} }}} }$ is 3.9 $\pm$ 0.6 (stat) $\pm$ 1.3 (syst) pb and ${\sigma_{{\mathrm{t }\mathrm{ \bar{t} }{jj}} }} $ is 176 $\pm$ 5 (stat) $\pm$ 33 (syst) pb. The result provides important information about the main background in the search for ${\mathrm{t }\mathrm{ \bar{t} }{H}} $ and as a figure of merit for testing the validity of NLO QCD calculations at $\sqrt{s}$ = 13 TeV.
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Compact Muon Solenoid
LHC, CERN