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CMS-TOP-12-041 ; CERN-PH-EP-2015-240
Measurement of tˉt production with additional jet activity, including b quark jets, in the dilepton decay channel using pp collisions at s= 8 TeV
Eur. Phys. J. C 76 (2016) 379
Abstract: Jet multiplicity distributions in top quark pair (tˉt) events are measured in pp collisions at a centre-of-mass energy of 8 TeV with the CMS detector at the LHC using a data set corresponding to an integrated luminosity of 19.7 fb1. The measurement is performed in the dilepton decay channels (e+e, μ+μ, and e±μ). The absolute and normalized differential cross sections for tˉt production are measured as a function of the jet multiplicity in the event for different jet transverse momentum thresholds and the kinematic properties of the leading additional jets. The differential tˉtb and tˉtbˉb cross sections are presented for the first time as a function of the kinematic properties of the leading additional b jets. Furthermore, the fraction of events without additional jets above a threshold is measured as a function of the transverse momenta of the leading additional jets and the scalar sum of the transverse momenta of all additional jets. The data are compared and found to be consistent with predictions from several perturbative quantum chromodynamics event generators and a next-to-leading order calculation.
Figures & Tables Summary Additional Figures References CMS Publications
Figures

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Figure 1-a:
Reconstructed jet multiplicity distribution after event selection in data (points) and from signal and background simulation (histograms) for all jets with pT of at least 30 GeV (a), 60 GeV (b), and 100 GeV (c). The hatched regions correspond to the uncertainties affecting the shape of the distributions in the simulated signal tˉt events and backgrounds (cf. Section 6). The lower plots show the ratio of the data to the MC simulation prediction. Note that in all cases the event selection requires at least two jets with pT> 30 GeV.

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Figure 1-b:
Reconstructed jet multiplicity distribution after event selection in data (points) and from signal and background simulation (histograms) for all jets with pT of at least 30 GeV (a), 60 GeV (b), and 100 GeV (c). The hatched regions correspond to the uncertainties affecting the shape of the distributions in the simulated signal tˉt events and backgrounds (cf. Section 6). The lower plots show the ratio of the data to the MC simulation prediction. Note that in all cases the event selection requires at least two jets with pT> 30 GeV.

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Figure 1-c:
Reconstructed jet multiplicity distribution after event selection in data (points) and from signal and background simulation (histograms) for all jets with pT of at least 30 GeV (a), 60 GeV (b), and 100 GeV (c). The hatched regions correspond to the uncertainties affecting the shape of the distributions in the simulated signal tˉt events and backgrounds (cf. Section 6). The lower plots show the ratio of the data to the MC simulation prediction. Note that in all cases the event selection requires at least two jets with pT> 30 GeV.

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Figure 2-a:
Distribution of the η (a,c) and pT (b,d) of the leading (a,b) and subleading (c,d) additional reconstructed jets in data (points) and from signal and background simulation (histograms). The hatched regions correspond to the uncertainties affecting the shape of the simulated distributions in the signal tˉt events and backgrounds (cf. Section 6). The lower plots show the ratio of the data to the MC simulation prediction.

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Figure 2-b:
Distribution of the η (a,c) and pT (b,d) of the leading (a,b) and subleading (c,d) additional reconstructed jets in data (points) and from signal and background simulation (histograms). The hatched regions correspond to the uncertainties affecting the shape of the simulated distributions in the signal tˉt events and backgrounds (cf. Section 6). The lower plots show the ratio of the data to the MC simulation prediction.

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Figure 2-c:
Distribution of the η (a,c) and pT (b,d) of the leading (a,b) and subleading (c,d) additional reconstructed jets in data (points) and from signal and background simulation (histograms). The hatched regions correspond to the uncertainties affecting the shape of the simulated distributions in the signal tˉt events and backgrounds (cf. Section 6). The lower plots show the ratio of the data to the MC simulation prediction.

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Figure 2-d:
Distribution of the η (a,c) and pT (b,d) of the leading (a,b) and subleading (c,d) additional reconstructed jets in data (points) and from signal and background simulation (histograms). The hatched regions correspond to the uncertainties affecting the shape of the simulated distributions in the signal tˉt events and backgrounds (cf. Section 6). The lower plots show the ratio of the data to the MC simulation prediction.

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Figure 3-a:
Distribution of the scalar sum of the pT of all additional jets HT (a), the invariant mass of the leading and subleading additional jets mjj (b), and their angular distance ΔRjj (c) in data (points) and from signal and background simulation (histograms). The hatched regions correspond to the uncertainties affecting the shape of the distributions in the simulated signal tˉt events and backgrounds (cf. Section 6). The lower plots show the ratio of the data to the MC simulation prediction.

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Figure 3-b:
Distribution of the scalar sum of the pT of all additional jets HT (a), the invariant mass of the leading and subleading additional jets mjj (b), and their angular distance ΔRjj (c) in data (points) and from signal and background simulation (histograms). The hatched regions correspond to the uncertainties affecting the shape of the distributions in the simulated signal tˉt events and backgrounds (cf. Section 6). The lower plots show the ratio of the data to the MC simulation prediction.

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Figure 3-c:
Distribution of the scalar sum of the pT of all additional jets HT (a), the invariant mass of the leading and subleading additional jets mjj (b), and their angular distance ΔRjj (c) in data (points) and from signal and background simulation (histograms). The hatched regions correspond to the uncertainties affecting the shape of the distributions in the simulated signal tˉt events and backgrounds (cf. Section 6). The lower plots show the ratio of the data to the MC simulation prediction.

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Figure 4-a:
The BDT discriminant of all dijet combinations in data (points) and from signal and background simulation (histograms) per event (left) and dijet combination with the highest discriminant per event (right) in events with at least four jets and exactly four b-tagged jets. The distributions include the correction obtained with the template fit to the b-tagged jet multiplicity (cf. Section {sec:ttbbreco}). The hatched area represents the statistical uncertainty in the simulated samples. ``Minor bkg." includes all non-tˉt processes and tˉt+Z/W/γ. The lower plots show the ratio of the data to the MC simulation prediction.

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Figure 4-b:
The BDT discriminant of all dijet combinations in data (points) and from signal and background simulation (histograms) per event (left) and dijet combination with the highest discriminant per event (right) in events with at least four jets and exactly four b-tagged jets. The distributions include the correction obtained with the template fit to the b-tagged jet multiplicity (cf. Section {sec:ttbbreco}). The hatched area represents the statistical uncertainty in the simulated samples. ``Minor bkg." includes all non-tˉt processes and tˉt+Z/W/γ. The lower plots show the ratio of the data to the MC simulation prediction.

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Figure 5-a:
The pre-fit distribution of the b jet multiplicity in data (points) and from signal and background simulation (histograms) for events fulfilling the lepton selection criteria, having 2 jets, 1 b-tagged jet (left), and the post-fit distribution (right). The hatched area represents the statistical uncertainty in the simulated samples. ``Minor bkg." includes all non-tˉt processes and tˉt+Z/W/γ. The lower plots show the ratio of the data to the MC simulation prediction.

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Figure 5-b:
The pre-fit distribution of the b jet multiplicity in data (points) and from signal and background simulation (histograms) for events fulfilling the lepton selection criteria, having 2 jets, 1 b-tagged jet (left), and the post-fit distribution (right). The hatched area represents the statistical uncertainty in the simulated samples. ``Minor bkg." includes all non-tˉt processes and tˉt+Z/W/γ. The lower plots show the ratio of the data to the MC simulation prediction.

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Figure 6-a:
Distributions of the leading additional b jet pT (a) and |η| (b), subleading additional b jet pT (c) and |η| (d), ΔRbb (e), and mbb(f) from data (points) and from signal and background simulation (histograms). The hatched area represents the statistical uncertainty in the simulated samples. ``Minor bkg." includes all non-tˉt processes and tˉt+Z/W/γ. The lower plots show the ratio of the data to the MC simulation prediction.

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Figure 6-b:
Distributions of the leading additional b jet pT (a) and |η| (b), subleading additional b jet pT (c) and |η| (d), ΔRbb (e), and mbb(f) from data (points) and from signal and background simulation (histograms). The hatched area represents the statistical uncertainty in the simulated samples. ``Minor bkg." includes all non-tˉt processes and tˉt+Z/W/γ. The lower plots show the ratio of the data to the MC simulation prediction.

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Figure 6-c:
Distributions of the leading additional b jet pT (a) and |η| (b), subleading additional b jet pT (c) and |η| (d), ΔRbb (e), and mbb(f) from data (points) and from signal and background simulation (histograms). The hatched area represents the statistical uncertainty in the simulated samples. ``Minor bkg." includes all non-tˉt processes and tˉt+Z/W/γ. The lower plots show the ratio of the data to the MC simulation prediction.

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Figure 6-d:
Distributions of the leading additional b jet pT (a) and |η| (b), subleading additional b jet pT (c) and |η| (d), ΔRbb (e), and mbb(f) from data (points) and from signal and background simulation (histograms). The hatched area represents the statistical uncertainty in the simulated samples. ``Minor bkg." includes all non-tˉt processes and tˉt+Z/W/γ. The lower plots show the ratio of the data to the MC simulation prediction.

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Figure 6-e:
Distributions of the leading additional b jet pT (a) and |η| (b), subleading additional b jet pT (c) and |η| (d), ΔRbb (e), and mbb(f) from data (points) and from signal and background simulation (histograms). The hatched area represents the statistical uncertainty in the simulated samples. ``Minor bkg." includes all non-tˉt processes and tˉt+Z/W/γ. The lower plots show the ratio of the data to the MC simulation prediction.

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Figure 6-f:
Distributions of the leading additional b jet pT (a) and |η| (b), subleading additional b jet pT (c) and |η| (d), ΔRbb (e), and mbb(f) from data (points) and from signal and background simulation (histograms). The hatched area represents the statistical uncertainty in the simulated samples. ``Minor bkg." includes all non-tˉt processes and tˉt+Z/W/γ. The lower plots show the ratio of the data to the MC simulation prediction.

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Figure 7-a:
Absolute differential tˉtcross sections as a function of jet multiplicity for jets with pT>30GeV (top row), 60 GeV (middle row), and 100 GeV (bottom row). In the figures on the left, the data are compared with predictions from MadGraph interfaced with PYTHIA 6, MC@NLO interfaced with HERWIG 6, and POWHEG with PYTHIA 6 and HERWIG 6. The figures on the right show the behaviour of the MadGraph generator with varied renormalization, factorization, and jet-parton matching scales. The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 7-b:
Absolute differential tˉtcross sections as a function of jet multiplicity for jets with pT>30GeV (top row), 60 GeV (middle row), and 100 GeV (bottom row). In the figures on the left, the data are compared with predictions from MadGraph interfaced with PYTHIA 6, MC@NLO interfaced with HERWIG 6, and POWHEG with PYTHIA 6 and HERWIG 6. The figures on the right show the behaviour of the MadGraph generator with varied renormalization, factorization, and jet-parton matching scales. The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 7-c:
Absolute differential tˉtcross sections as a function of jet multiplicity for jets with pT>30GeV (top row), 60 GeV (middle row), and 100 GeV (bottom row). In the figures on the left, the data are compared with predictions from MadGraph interfaced with PYTHIA 6, MC@NLO interfaced with HERWIG 6, and POWHEG with PYTHIA 6 and HERWIG 6. The figures on the right show the behaviour of the MadGraph generator with varied renormalization, factorization, and jet-parton matching scales. The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 7-d:
Absolute differential tˉtcross sections as a function of jet multiplicity for jets with pT>30GeV (top row), 60 GeV (middle row), and 100 GeV (bottom row). In the figures on the left, the data are compared with predictions from MadGraph interfaced with PYTHIA 6, MC@NLO interfaced with HERWIG 6, and POWHEG with PYTHIA 6 and HERWIG 6. The figures on the right show the behaviour of the MadGraph generator with varied renormalization, factorization, and jet-parton matching scales. The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 7-e:
Absolute differential tˉtcross sections as a function of jet multiplicity for jets with pT>30GeV (top row), 60 GeV (middle row), and 100 GeV (bottom row). In the figures on the left, the data are compared with predictions from MadGraph interfaced with PYTHIA 6, MC@NLO interfaced with HERWIG 6, and POWHEG with PYTHIA 6 and HERWIG 6. The figures on the right show the behaviour of the MadGraph generator with varied renormalization, factorization, and jet-parton matching scales. The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 7-f:
Absolute differential tˉtcross sections as a function of jet multiplicity for jets with pT>30GeV (top row), 60 GeV (middle row), and 100 GeV (bottom row). In the figures on the left, the data are compared with predictions from MadGraph interfaced with PYTHIA 6, MC@NLO interfaced with HERWIG 6, and POWHEG with PYTHIA 6 and HERWIG 6. The figures on the right show the behaviour of the MadGraph generator with varied renormalization, factorization, and jet-parton matching scales. The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 8-a:
Absolute differential tˉtcross sections as a function of jet multiplicity for jets with pT>30GeV (top row), 60 GeV (middle row), and 100 GeV (bottom row). In the figures on the left, the data are compared with predictions from MadGraph interfaced with PYTHIA 6 and PYTHIA 8, and MG5\_aMC@NLO interfaced with PYTHIA 8. The figures on the right show the behaviour of the POWHEG generator without and with hdamp set to mt, matched with different versions and tunes of PYTHIA and HERWIG 6. The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 8-b:
Absolute differential tˉtcross sections as a function of jet multiplicity for jets with pT>30GeV (top row), 60 GeV (middle row), and 100 GeV (bottom row). In the figures on the left, the data are compared with predictions from MadGraph interfaced with PYTHIA 6 and PYTHIA 8, and MG5\_aMC@NLO interfaced with PYTHIA 8. The figures on the right show the behaviour of the POWHEG generator without and with hdamp set to mt, matched with different versions and tunes of PYTHIA and HERWIG 6. The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 8-c:
Absolute differential tˉtcross sections as a function of jet multiplicity for jets with pT>30GeV (top row), 60 GeV (middle row), and 100 GeV (bottom row). In the figures on the left, the data are compared with predictions from MadGraph interfaced with PYTHIA 6 and PYTHIA 8, and MG5\_aMC@NLO interfaced with PYTHIA 8. The figures on the right show the behaviour of the POWHEG generator without and with hdamp set to mt, matched with different versions and tunes of PYTHIA and HERWIG 6. The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 8-d:
Absolute differential tˉtcross sections as a function of jet multiplicity for jets with pT>30GeV (top row), 60 GeV (middle row), and 100 GeV (bottom row). In the figures on the left, the data are compared with predictions from MadGraph interfaced with PYTHIA 6 and PYTHIA 8, and MG5\_aMC@NLO interfaced with PYTHIA 8. The figures on the right show the behaviour of the POWHEG generator without and with hdamp set to mt, matched with different versions and tunes of PYTHIA and HERWIG 6. The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 8-e:
Absolute differential tˉtcross sections as a function of jet multiplicity for jets with pT>30GeV (top row), 60 GeV (middle row), and 100 GeV (bottom row). In the figures on the left, the data are compared with predictions from MadGraph interfaced with PYTHIA 6 and PYTHIA 8, and MG5\_aMC@NLO interfaced with PYTHIA 8. The figures on the right show the behaviour of the POWHEG generator without and with hdamp set to mt, matched with different versions and tunes of PYTHIA and HERWIG 6. The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 8-f:
Absolute differential tˉtcross sections as a function of jet multiplicity for jets with pT>30GeV (top row), 60 GeV (middle row), and 100 GeV (bottom row). In the figures on the left, the data are compared with predictions from MadGraph interfaced with PYTHIA 6 and PYTHIA 8, and MG5\_aMC@NLO interfaced with PYTHIA 8. The figures on the right show the behaviour of the POWHEG generator without and with hdamp set to mt, matched with different versions and tunes of PYTHIA and HERWIG 6. The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 9-a:
Absolute differential t¯t cross section as a function of pT of the leading additional jet (a,b) and the subleading additional jet (e,f), and HT (e,f) in the visible phase space of the t¯t system and the additional jets. Data are compared to predictions from MADGRAPH+PYTHIA-6, POWHEG+PYTHIA-6, POWHEG+HERWIG-6, and MC@NLO+HERWIG-6 (a,c,e) and to MADGRAPH with varied renormalization, factorization, and jet-parton matching scales (b,d,f). The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 9-b:
Absolute differential t¯t cross section as a function of pT of the leading additional jet (a,b) and the subleading additional jet (e,f), and HT (e,f) in the visible phase space of the t¯t system and the additional jets. Data are compared to predictions from MADGRAPH+PYTHIA-6, POWHEG+PYTHIA-6, POWHEG+HERWIG-6, and MC@NLO+HERWIG-6 (a,c,e) and to MADGRAPH with varied renormalization, factorization, and jet-parton matching scales (b,d,f). The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 9-c:
Absolute differential t¯t cross section as a function of pT of the leading additional jet (a,b) and the subleading additional jet (e,f), and HT (e,f) in the visible phase space of the t¯t system and the additional jets. Data are compared to predictions from MADGRAPH+PYTHIA-6, POWHEG+PYTHIA-6, POWHEG+HERWIG-6, and MC@NLO+HERWIG-6 (a,c,e) and to MADGRAPH with varied renormalization, factorization, and jet-parton matching scales (b,d,f). The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 9-d:
Absolute differential t¯t cross section as a function of pT of the leading additional jet (a,b) and the subleading additional jet (e,f), and HT (e,f) in the visible phase space of the t¯t system and the additional jets. Data are compared to predictions from MADGRAPH+PYTHIA-6, POWHEG+PYTHIA-6, POWHEG+HERWIG-6, and MC@NLO+HERWIG-6 (a,c,e) and to MADGRAPH with varied renormalization, factorization, and jet-parton matching scales (b,d,f). The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 9-e:
Absolute differential t¯t cross section as a function of pT of the leading additional jet (a,b) and the subleading additional jet (e,f), and HT (e,f) in the visible phase space of the t¯t system and the additional jets. Data are compared to predictions from MADGRAPH+PYTHIA-6, POWHEG+PYTHIA-6, POWHEG+HERWIG-6, and MC@NLO+HERWIG-6 (a,c,e) and to MADGRAPH with varied renormalization, factorization, and jet-parton matching scales (b,d,f). The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 9-f:
Absolute differential t¯t cross section as a function of pT of the leading additional jet (a,b) and the subleading additional jet (e,f), and HT (e,f) in the visible phase space of the t¯t system and the additional jets. Data are compared to predictions from MADGRAPH+PYTHIA-6, POWHEG+PYTHIA-6, POWHEG+HERWIG-6, and MC@NLO+HERWIG-6 (a,c,e) and to MADGRAPH with varied renormalization, factorization, and jet-parton matching scales (b,d,f). The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 10-a:
Absolute differential t¯t cross section as a function of the |η| of the leading additional jet (a,b) and the subleading additional jet (c,d) in the visible phase space of the t¯t system and the additional jets. Data are compared to predictions from MADGRAPH +PYTHIA-6, POWHEG +PYTHIA-6, POWHEG +HERWIG-6, and MC@NLO+HERWIG-6 (a,c) and to MADGRAPH with with varied renormalization, factorization, and jet-parton matching scales (b,d). The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 10-b:
Absolute differential t¯t cross section as a function of the |η| of the leading additional jet (a,b) and the subleading additional jet (c,d) in the visible phase space of the t¯t system and the additional jets. Data are compared to predictions from MADGRAPH +PYTHIA-6, POWHEG +PYTHIA-6, POWHEG +HERWIG-6, and MC@NLO+HERWIG-6 (a,c) and to MADGRAPH with with varied renormalization, factorization, and jet-parton matching scales (b,d). The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 10-c:
Absolute differential t¯t cross section as a function of the |η| of the leading additional jet (a,b) and the subleading additional jet (c,d) in the visible phase space of the t¯t system and the additional jets. Data are compared to predictions from MADGRAPH +PYTHIA-6, POWHEG +PYTHIA-6, POWHEG +HERWIG-6, and MC@NLO+HERWIG-6 (a,c) and to MADGRAPH with with varied renormalization, factorization, and jet-parton matching scales (b,d). The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 10-d:
Absolute differential t¯t cross section as a function of the |η| of the leading additional jet (a,b) and the subleading additional jet (c,d) in the visible phase space of the t¯t system and the additional jets. Data are compared to predictions from MADGRAPH +PYTHIA-6, POWHEG +PYTHIA-6, POWHEG +HERWIG-6, and MC@NLO+HERWIG-6 (a,c) and to MADGRAPH with with varied renormalization, factorization, and jet-parton matching scales (b,d). The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 11-a:
Absolute differential t¯t cross section as a function of ΔRjj between the leading and subleading additional jets (a,b) and their invariant mass, mjj (c,d). Data are compared to predictions from MADGRAPH +PYTHIA-6, POWHEG +PYTHIA-6, POWHEG +HERWIG-6, and MC@NLO+HERWIG-6 (a,c) and to MADGRAPH with varied renormalization, factorization, and jet-parton matching scales (b,d). The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 11-b:
Absolute differential t¯t cross section as a function of ΔRjj between the leading and subleading additional jets (a,b) and their invariant mass, mjj (c,d). Data are compared to predictions from MADGRAPH +PYTHIA-6, POWHEG +PYTHIA-6, POWHEG +HERWIG-6, and MC@NLO+HERWIG-6 (a,c) and to MADGRAPH with varied renormalization, factorization, and jet-parton matching scales (b,d). The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 11-c:
Absolute differential t¯t cross section as a function of ΔRjj between the leading and subleading additional jets (a,b) and their invariant mass, mjj (c,d). Data are compared to predictions from MADGRAPH +PYTHIA-6, POWHEG +PYTHIA-6, POWHEG +HERWIG-6, and MC@NLO+HERWIG-6 (a,c) and to MADGRAPH with varied renormalization, factorization, and jet-parton matching scales (b,d). The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 11-d:
Absolute differential t¯t cross section as a function of ΔRjj between the leading and subleading additional jets (a,b) and their invariant mass, mjj (c,d). Data are compared to predictions from MADGRAPH +PYTHIA-6, POWHEG +PYTHIA-6, POWHEG +HERWIG-6, and MC@NLO+HERWIG-6 (a,c) and to MADGRAPH with varied renormalization, factorization, and jet-parton matching scales (b,d). The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 12-a:
Absolute differential t¯t cross section as a function of pT of the leading additional jet (a,b) and the subleading additional jet (c,d) and HT (e,f) measured in the full phase space of the t¯t system, corrected for acceptance and branching fractions. Data are compared to predictions from MADGRAPH +PYTHIA-6, POWHEG +PYTHIA-6, POWHEG +HERWIG-6, and MC@NLO+HERWIG-6 (a,c,e) and to MADGRAPH with varied renormalization, factorization, and jet-parton matching scales (b,d,f). The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 12-b:
Absolute differential t¯t cross section as a function of pT of the leading additional jet (a,b) and the subleading additional jet (c,d) and HT (e,f) measured in the full phase space of the t¯t system, corrected for acceptance and branching fractions. Data are compared to predictions from MADGRAPH +PYTHIA-6, POWHEG +PYTHIA-6, POWHEG +HERWIG-6, and MC@NLO+HERWIG-6 (a,c,e) and to MADGRAPH with varied renormalization, factorization, and jet-parton matching scales (b,d,f). The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 12-c:
Absolute differential t¯t cross section as a function of pT of the leading additional jet (a,b) and the subleading additional jet (c,d) and HT (e,f) measured in the full phase space of the t¯t system, corrected for acceptance and branching fractions. Data are compared to predictions from MADGRAPH +PYTHIA-6, POWHEG +PYTHIA-6, POWHEG +HERWIG-6, and MC@NLO+HERWIG-6 (a,c,e) and to MADGRAPH with varied renormalization, factorization, and jet-parton matching scales (b,d,f). The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 12-d:
Absolute differential t¯t cross section as a function of pT of the leading additional jet (a,b) and the subleading additional jet (c,d) and HT (e,f) measured in the full phase space of the t¯t system, corrected for acceptance and branching fractions. Data are compared to predictions from MADGRAPH +PYTHIA-6, POWHEG +PYTHIA-6, POWHEG +HERWIG-6, and MC@NLO+HERWIG-6 (a,c,e) and to MADGRAPH with varied renormalization, factorization, and jet-parton matching scales (b,d,f). The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 12-e:
Absolute differential t¯t cross section as a function of pT of the leading additional jet (a,b) and the subleading additional jet (c,d) and HT (e,f) measured in the full phase space of the t¯t system, corrected for acceptance and branching fractions. Data are compared to predictions from MADGRAPH +PYTHIA-6, POWHEG +PYTHIA-6, POWHEG +HERWIG-6, and MC@NLO+HERWIG-6 (a,c,e) and to MADGRAPH with varied renormalization, factorization, and jet-parton matching scales (b,d,f). The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 12-f:
Absolute differential t¯t cross section as a function of pT of the leading additional jet (a,b) and the subleading additional jet (c,d) and HT (e,f) measured in the full phase space of the t¯t system, corrected for acceptance and branching fractions. Data are compared to predictions from MADGRAPH +PYTHIA-6, POWHEG +PYTHIA-6, POWHEG +HERWIG-6, and MC@NLO+HERWIG-6 (a,c,e) and to MADGRAPH with varied renormalization, factorization, and jet-parton matching scales (b,d,f). The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 13-a:
Absolute differential t¯t cross section as a function of the |η| of the leading additional jet (a,b) and the subleading additional jet (c,d) measured in the full phase space of the t¯t system, corrected for acceptance and branching fractions. Data are compared to predictions from MADGRAPH +PYTHIA-6, POWHEG +PYTHIA-6, POWHEG +HERWIG-6, and MC@NLO+HERWIG-6 (a,c) and to MADGRAPH with varied renormalization, factorization, and jet-parton matching scales (b,d). The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 13-b:
Absolute differential t¯t cross section as a function of the |η| of the leading additional jet (a,b) and the subleading additional jet (c,d) measured in the full phase space of the t¯t system, corrected for acceptance and branching fractions. Data are compared to predictions from MADGRAPH +PYTHIA-6, POWHEG +PYTHIA-6, POWHEG +HERWIG-6, and MC@NLO+HERWIG-6 (a,c) and to MADGRAPH with varied renormalization, factorization, and jet-parton matching scales (b,d). The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 13-c:
Absolute differential t¯t cross section as a function of the |η| of the leading additional jet (a,b) and the subleading additional jet (c,d) measured in the full phase space of the t¯t system, corrected for acceptance and branching fractions. Data are compared to predictions from MADGRAPH +PYTHIA-6, POWHEG +PYTHIA-6, POWHEG +HERWIG-6, and MC@NLO+HERWIG-6 (a,c) and to MADGRAPH with varied renormalization, factorization, and jet-parton matching scales (b,d). The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 13-d:
Absolute differential t¯t cross section as a function of the |η| of the leading additional jet (a,b) and the subleading additional jet (c,d) measured in the full phase space of the t¯t system, corrected for acceptance and branching fractions. Data are compared to predictions from MADGRAPH +PYTHIA-6, POWHEG +PYTHIA-6, POWHEG +HERWIG-6, and MC@NLO+HERWIG-6 (a,c) and to MADGRAPH with varied renormalization, factorization, and jet-parton matching scales (b,d). The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 14-a:
Absolute differential t¯t cross section as a function of ΔRjj between the leading and subleading additional jets (a,b) and their invariant mass, mjj (c,d) measured in the full phase space of the t¯t system, corrected for acceptance and branching fractions. Data are compared to predictions from MADGRAPH +PYTHIA-6, POWHEG +PYTHIA-6, POWHEG +HERWIG-6, and MC@NLO+HERWIG-6 (a,c) and to MADGRAPH with varied renormalization, factorization, and jet-parton matching scales (b,d). The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 14-b:
Absolute differential t¯t cross section as a function of ΔRjj between the leading and subleading additional jets (a,b) and their invariant mass, mjj (c,d) measured in the full phase space of the t¯t system, corrected for acceptance and branching fractions. Data are compared to predictions from MADGRAPH +PYTHIA-6, POWHEG +PYTHIA-6, POWHEG +HERWIG-6, and MC@NLO+HERWIG-6 (a,c) and to MADGRAPH with varied renormalization, factorization, and jet-parton matching scales (b,d). The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 14-c:
Absolute differential t¯t cross section as a function of ΔRjj between the leading and subleading additional jets (a,b) and their invariant mass, mjj (c,d) measured in the full phase space of the t¯t system, corrected for acceptance and branching fractions. Data are compared to predictions from MADGRAPH +PYTHIA-6, POWHEG +PYTHIA-6, POWHEG +HERWIG-6, and MC@NLO+HERWIG-6 (a,c) and to MADGRAPH with varied renormalization, factorization, and jet-parton matching scales (b,d). The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 14-d:
Absolute differential t¯t cross section as a function of ΔRjj between the leading and subleading additional jets (a,b) and their invariant mass, mjj (c,d) measured in the full phase space of the t¯t system, corrected for acceptance and branching fractions. Data are compared to predictions from MADGRAPH +PYTHIA-6, POWHEG +PYTHIA-6, POWHEG +HERWIG-6, and MC@NLO+HERWIG-6 (a,c) and to MADGRAPH with varied renormalization, factorization, and jet-parton matching scales (b,d). The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 15-a:
Absolute differential t¯t cross section measured in the visible phase space of the t¯t system and the additional b jets, as a function of the leading additional b jet pT (a) and |η| (b), subleading additional b jet pT (c) and |η| (d), the angular separation ΔRbb between the two leading additional b jets (e), and the invariant mass mbb of the two b jets. Data are compared with predictions from MADGRAPH interfaced with PYTHIA-6, MC@NLO interfaced with HERWIG-6, and POWHEG with PYTHIA-6 and HERWIG-6, normalized to the measured inclusive cross section. The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 15-b:
Absolute differential t¯t cross section measured in the visible phase space of the t¯t system and the additional b jets, as a function of the leading additional b jet pT (a) and |η| (b), subleading additional b jet pT (c) and |η| (d), the angular separation ΔRbb between the two leading additional b jets (e), and the invariant mass mbb of the two b jets. Data are compared with predictions from MADGRAPH interfaced with PYTHIA-6, MC@NLO interfaced with HERWIG-6, and POWHEG with PYTHIA-6 and HERWIG-6, normalized to the measured inclusive cross section. The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 15-c:
Absolute differential t¯t cross section measured in the visible phase space of the t¯t system and the additional b jets, as a function of the leading additional b jet pT (a) and |η| (b), subleading additional b jet pT (c) and |η| (d), the angular separation ΔRbb between the two leading additional b jets (e), and the invariant mass mbb of the two b jets. Data are compared with predictions from MADGRAPH interfaced with PYTHIA-6, MC@NLO interfaced with HERWIG-6, and POWHEG with PYTHIA-6 and HERWIG-6, normalized to the measured inclusive cross section. The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 15-d:
Absolute differential t¯t cross section measured in the visible phase space of the t¯t system and the additional b jets, as a function of the leading additional b jet pT (a) and |η| (b), subleading additional b jet pT (c) and |η| (d), the angular separation ΔRbb between the two leading additional b jets (e), and the invariant mass mbb of the two b jets. Data are compared with predictions from MADGRAPH interfaced with PYTHIA-6, MC@NLO interfaced with HERWIG-6, and POWHEG with PYTHIA-6 and HERWIG-6, normalized to the measured inclusive cross section. The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 15-e:
Absolute differential t¯t cross section measured in the visible phase space of the t¯t system and the additional b jets, as a function of the leading additional b jet pT (a) and |η| (b), subleading additional b jet pT (c) and |η| (d), the angular separation ΔRbb between the two leading additional b jets (e), and the invariant mass mbb of the two b jets. Data are compared with predictions from MADGRAPH interfaced with PYTHIA-6, MC@NLO interfaced with HERWIG-6, and POWHEG with PYTHIA-6 and HERWIG-6, normalized to the measured inclusive cross section. The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 15-f:
Absolute differential t¯t cross section measured in the visible phase space of the t¯t system and the additional b jets, as a function of the leading additional b jet pT (a) and |η| (b), subleading additional b jet pT (c) and |η| (d), the angular separation ΔRbb between the two leading additional b jets (e), and the invariant mass mbb of the two b jets. Data are compared with predictions from MADGRAPH interfaced with PYTHIA-6, MC@NLO interfaced with HERWIG-6, and POWHEG with PYTHIA-6 and HERWIG-6, normalized to the measured inclusive cross section. The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 16-a:
Absolute differential t¯t cross section measured in the visible phase space of the t¯t system and the additional b jets, as a function of the second additional b jet pT (a) and |η| (b), the angular separation ΔRbb between the two leading additional b jets (c), and the invariant mass mbb of the two b jets (d). Data are compared with predictions from PowHel+PYTHIA-6. The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the calculation to data.

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Figure 16-b:
Absolute differential t¯t cross section measured in the visible phase space of the t¯t system and the additional b jets, as a function of the second additional b jet pT (a) and |η| (b), the angular separation ΔRbb between the two leading additional b jets (c), and the invariant mass mbb of the two b jets (d). Data are compared with predictions from PowHel+PYTHIA-6. The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the calculation to data.

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Figure 16-c:
Absolute differential t¯t cross section measured in the visible phase space of the t¯t system and the additional b jets, as a function of the second additional b jet pT (a) and |η| (b), the angular separation ΔRbb between the two leading additional b jets (c), and the invariant mass mbb of the two b jets (d). Data are compared with predictions from PowHel+PYTHIA-6. The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the calculation to data.

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Figure 16-d:
Absolute differential t¯t cross section measured in the visible phase space of the t¯t system and the additional b jets, as a function of the second additional b jet pT (a) and |η| (b), the angular separation ΔRbb between the two leading additional b jets (c), and the invariant mass mbb of the two b jets (d). Data are compared with predictions from PowHel+PYTHIA-6. The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the calculation to data.

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Figure 17-a:
Absolute differential t¯t cross section measured in the full phase space of the t¯t system, corrected for acceptance and branching fractions, and the visible phase space of the additional b jets, as a function of the leading additional b jet pT (a) and |η| (b), subleading additional b jet pT (c) and |η| (d), the angular separation ΔRbb between the leading and subleading additional b jets (e), and the invariant mass mbb of the two b jets (f). Data are compared with predictions from MADGRAPH interfaced with PYTHIA-6, MC@NLO interfaced with HERWIG-6, and POWHEG intefarced with both PYTHIA-6 and HERWIG-6, normalized to the measured inclusive cross section. The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 17-b:
Absolute differential t¯t cross section measured in the full phase space of the t¯t system, corrected for acceptance and branching fractions, and the visible phase space of the additional b jets, as a function of the leading additional b jet pT (a) and |η| (b), subleading additional b jet pT (c) and |η| (d), the angular separation ΔRbb between the leading and subleading additional b jets (e), and the invariant mass mbb of the two b jets (f). Data are compared with predictions from MADGRAPH interfaced with PYTHIA-6, MC@NLO interfaced with HERWIG-6, and POWHEG intefarced with both PYTHIA-6 and HERWIG-6, normalized to the measured inclusive cross section. The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 17-c:
Absolute differential t¯t cross section measured in the full phase space of the t¯t system, corrected for acceptance and branching fractions, and the visible phase space of the additional b jets, as a function of the leading additional b jet pT (a) and |η| (b), subleading additional b jet pT (c) and |η| (d), the angular separation ΔRbb between the leading and subleading additional b jets (e), and the invariant mass mbb of the two b jets (f). Data are compared with predictions from MADGRAPH interfaced with PYTHIA-6, MC@NLO interfaced with HERWIG-6, and POWHEG intefarced with both PYTHIA-6 and HERWIG-6, normalized to the measured inclusive cross section. The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 17-d:
Absolute differential t¯t cross section measured in the full phase space of the t¯t system, corrected for acceptance and branching fractions, and the visible phase space of the additional b jets, as a function of the leading additional b jet pT (a) and |η| (b), subleading additional b jet pT (c) and |η| (d), the angular separation ΔRbb between the leading and subleading additional b jets (e), and the invariant mass mbb of the two b jets (f). Data are compared with predictions from MADGRAPH interfaced with PYTHIA-6, MC@NLO interfaced with HERWIG-6, and POWHEG intefarced with both PYTHIA-6 and HERWIG-6, normalized to the measured inclusive cross section. The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 17-e:
Absolute differential t¯t cross section measured in the full phase space of the t¯t system, corrected for acceptance and branching fractions, and the visible phase space of the additional b jets, as a function of the leading additional b jet pT (a) and |η| (b), subleading additional b jet pT (c) and |η| (d), the angular separation ΔRbb between the leading and subleading additional b jets (e), and the invariant mass mbb of the two b jets (f). Data are compared with predictions from MADGRAPH interfaced with PYTHIA-6, MC@NLO interfaced with HERWIG-6, and POWHEG intefarced with both PYTHIA-6 and HERWIG-6, normalized to the measured inclusive cross section. The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 17-f:
Absolute differential t¯t cross section measured in the full phase space of the t¯t system, corrected for acceptance and branching fractions, and the visible phase space of the additional b jets, as a function of the leading additional b jet pT (a) and |η| (b), subleading additional b jet pT (c) and |η| (d), the angular separation ΔRbb between the leading and subleading additional b jets (e), and the invariant mass mbb of the two b jets (f). Data are compared with predictions from MADGRAPH interfaced with PYTHIA-6, MC@NLO interfaced with HERWIG-6, and POWHEG intefarced with both PYTHIA-6 and HERWIG-6, normalized to the measured inclusive cross section. The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 18-a:
Absolute differential t¯t cross section measured in the full phase space of the t¯t system, corrected for acceptance and branching fractions, and the additional b jets, as a function of the second additional b jet pT (a) and |η| (b), the angular separation ΔRbb between the leading and subleading additional b jets (c), and the invariant mass mbb of the two b jets (d). Data are compared with predictions from PowHel+PYTHIA-6. The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the calculation to data.

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Figure 18-b:
Absolute differential t¯t cross section measured in the full phase space of the t¯t system, corrected for acceptance and branching fractions, and the additional b jets, as a function of the second additional b jet pT (a) and |η| (b), the angular separation ΔRbb between the leading and subleading additional b jets (c), and the invariant mass mbb of the two b jets (d). Data are compared with predictions from PowHel+PYTHIA-6. The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the calculation to data.

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Figure 18-c:
Absolute differential t¯t cross section measured in the full phase space of the t¯t system, corrected for acceptance and branching fractions, and the additional b jets, as a function of the second additional b jet pT (a) and |η| (b), the angular separation ΔRbb between the leading and subleading additional b jets (c), and the invariant mass mbb of the two b jets (d). Data are compared with predictions from PowHel+PYTHIA-6. The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the calculation to data.

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Figure 18-d:
Absolute differential t¯t cross section measured in the full phase space of the t¯t system, corrected for acceptance and branching fractions, and the additional b jets, as a function of the second additional b jet pT (a) and |η| (b), the angular separation ΔRbb between the leading and subleading additional b jets (c), and the invariant mass mbb of the two b jets (d). Data are compared with predictions from PowHel+PYTHIA-6. The inner (outer) vertical bars indicate the statistical (total) uncertainties. The lower part of each plot shows the ratio of the calculation to data.

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Figure 19-a:
Measured gap fraction as a function of the leading additional jet pT (a,b), subleading additional jet pT (c,d), and of HT (e,f). Data are compared to predictions from MADGRAPH , POWHEG interfaced with PYTHIA andHERWIG , and MC@NLO interfaced withHERWIG (a,c,e), and to MADGRAPH with varied renormalization, factorization, and jet-parton matching scales (b,d,f). For each bin the threshold is defined at the value where the data point is placed. The vertical bars on the data points indicate the statistical uncertainty. The shaded band corresponds to the statistical and the total systematic uncertainty added in quadrature. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 19-b:
Measured gap fraction as a function of the leading additional jet pT (a,b), subleading additional jet pT (c,d), and of HT (e,f). Data are compared to predictions from MADGRAPH , POWHEG interfaced with PYTHIA andHERWIG , and MC@NLO interfaced withHERWIG (a,c,e), and to MADGRAPH with varied renormalization, factorization, and jet-parton matching scales (b,d,f). For each bin the threshold is defined at the value where the data point is placed. The vertical bars on the data points indicate the statistical uncertainty. The shaded band corresponds to the statistical and the total systematic uncertainty added in quadrature. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 19-c:
Measured gap fraction as a function of the leading additional jet pT (a,b), subleading additional jet pT (c,d), and of HT (e,f). Data are compared to predictions from MADGRAPH , POWHEG interfaced with PYTHIA andHERWIG , and MC@NLO interfaced withHERWIG (a,c,e), and to MADGRAPH with varied renormalization, factorization, and jet-parton matching scales (b,d,f). For each bin the threshold is defined at the value where the data point is placed. The vertical bars on the data points indicate the statistical uncertainty. The shaded band corresponds to the statistical and the total systematic uncertainty added in quadrature. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 19-d:
Measured gap fraction as a function of the leading additional jet pT (a,b), subleading additional jet pT (c,d), and of HT (e,f). Data are compared to predictions from MADGRAPH , POWHEG interfaced with PYTHIA andHERWIG , and MC@NLO interfaced withHERWIG (a,c,e), and to MADGRAPH with varied renormalization, factorization, and jet-parton matching scales (b,d,f). For each bin the threshold is defined at the value where the data point is placed. The vertical bars on the data points indicate the statistical uncertainty. The shaded band corresponds to the statistical and the total systematic uncertainty added in quadrature. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 19-e:
Measured gap fraction as a function of the leading additional jet pT (a,b), subleading additional jet pT (c,d), and of HT (e,f). Data are compared to predictions from MADGRAPH , POWHEG interfaced with PYTHIA andHERWIG , and MC@NLO interfaced withHERWIG (a,c,e), and to MADGRAPH with varied renormalization, factorization, and jet-parton matching scales (b,d,f). For each bin the threshold is defined at the value where the data point is placed. The vertical bars on the data points indicate the statistical uncertainty. The shaded band corresponds to the statistical and the total systematic uncertainty added in quadrature. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 19-f:
Measured gap fraction as a function of the leading additional jet pT (a,b), subleading additional jet pT (c,d), and of HT (e,f). Data are compared to predictions from MADGRAPH , POWHEG interfaced with PYTHIA andHERWIG , and MC@NLO interfaced withHERWIG (a,c,e), and to MADGRAPH with varied renormalization, factorization, and jet-parton matching scales (b,d,f). For each bin the threshold is defined at the value where the data point is placed. The vertical bars on the data points indicate the statistical uncertainty. The shaded band corresponds to the statistical and the total systematic uncertainty added in quadrature. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 20-a:
Measured gap fraction as a function of the leading additional jet pT (a,b), subleading additional jet pT (c,d), and of HT (e,f). Data are compared to predictions from MADGRAPH , interfaced with PYTHIA-6 and PYTHIA-8, and MG5-aMC@NLO interfaced with HERWIG-6 (a,c,e), and to POWHEG interfaced with different versions of PYTHIA andHERWIG (b,d,f). For each bin the threshold is defined at the value where the data point is placed. The vertical bars on the data points indicate the statistical uncertainty. The shaded band corresponds to the statistical and the total systematic uncertainty added in quadrature. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 20-b:
Measured gap fraction as a function of the leading additional jet pT (a,b), subleading additional jet pT (c,d), and of HT (e,f). Data are compared to predictions from MADGRAPH , interfaced with PYTHIA-6 and PYTHIA-8, and MG5-aMC@NLO interfaced with HERWIG-6 (a,c,e), and to POWHEG interfaced with different versions of PYTHIA andHERWIG (b,d,f). For each bin the threshold is defined at the value where the data point is placed. The vertical bars on the data points indicate the statistical uncertainty. The shaded band corresponds to the statistical and the total systematic uncertainty added in quadrature. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 20-c:
Measured gap fraction as a function of the leading additional jet pT (a,b), subleading additional jet pT (c,d), and of HT (e,f). Data are compared to predictions from MADGRAPH , interfaced with PYTHIA-6 and PYTHIA-8, and MG5-aMC@NLO interfaced with HERWIG-6 (a,c,e), and to POWHEG interfaced with different versions of PYTHIA andHERWIG (b,d,f). For each bin the threshold is defined at the value where the data point is placed. The vertical bars on the data points indicate the statistical uncertainty. The shaded band corresponds to the statistical and the total systematic uncertainty added in quadrature. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 20-d:
Measured gap fraction as a function of the leading additional jet pT (a,b), subleading additional jet pT (c,d), and of HT (e,f). Data are compared to predictions from MADGRAPH , interfaced with PYTHIA-6 and PYTHIA-8, and MG5-aMC@NLO interfaced with HERWIG-6 (a,c,e), and to POWHEG interfaced with different versions of PYTHIA andHERWIG (b,d,f). For each bin the threshold is defined at the value where the data point is placed. The vertical bars on the data points indicate the statistical uncertainty. The shaded band corresponds to the statistical and the total systematic uncertainty added in quadrature. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 20-e:
Measured gap fraction as a function of the leading additional jet pT (a,b), subleading additional jet pT (c,d), and of HT (e,f). Data are compared to predictions from MADGRAPH , interfaced with PYTHIA-6 and PYTHIA-8, and MG5-aMC@NLO interfaced with HERWIG-6 (a,c,e), and to POWHEG interfaced with different versions of PYTHIA andHERWIG (b,d,f). For each bin the threshold is defined at the value where the data point is placed. The vertical bars on the data points indicate the statistical uncertainty. The shaded band corresponds to the statistical and the total systematic uncertainty added in quadrature. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 20-f:
Measured gap fraction as a function of the leading additional jet pT (a,b), subleading additional jet pT (c,d), and of HT (e,f). Data are compared to predictions from MADGRAPH , interfaced with PYTHIA-6 and PYTHIA-8, and MG5-aMC@NLO interfaced with HERWIG-6 (a,c,e), and to POWHEG interfaced with different versions of PYTHIA andHERWIG (b,d,f). For each bin the threshold is defined at the value where the data point is placed. The vertical bars on the data points indicate the statistical uncertainty. The shaded band corresponds to the statistical and the total systematic uncertainty added in quadrature. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 21-a:
Measured gap fraction as a function of the leading additional jet pT in different η regions. Data are compared to predictions from MadGraph , POWHEG interfaced with PYTHIA 6 and HERWIG 6, and MC@NLO interfaced with HERWIG 6 (left) and to MadGraph with varied renormalization, factorization, and jet-parton matching scales (right). For each bin the threshold is defined at the value where the data point is placed. The vertical bars on the data points indicate the statistical uncertainty. The shaded band corresponds to the statistical uncertainty and the total systematic uncertainty added in quadrature. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 21-b:
Measured gap fraction as a function of the leading additional jet pT in different η regions. Data are compared to predictions from MadGraph , POWHEG interfaced with PYTHIA 6 and HERWIG 6, and MC@NLO interfaced with HERWIG 6 (left) and to MadGraph with varied renormalization, factorization, and jet-parton matching scales (right). For each bin the threshold is defined at the value where the data point is placed. The vertical bars on the data points indicate the statistical uncertainty. The shaded band corresponds to the statistical uncertainty and the total systematic uncertainty added in quadrature. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 21-c:
Measured gap fraction as a function of the leading additional jet pT in different η regions. Data are compared to predictions from MadGraph , POWHEG interfaced with PYTHIA 6 and HERWIG 6, and MC@NLO interfaced with HERWIG 6 (left) and to MadGraph with varied renormalization, factorization, and jet-parton matching scales (right). For each bin the threshold is defined at the value where the data point is placed. The vertical bars on the data points indicate the statistical uncertainty. The shaded band corresponds to the statistical uncertainty and the total systematic uncertainty added in quadrature. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 21-d:
Measured gap fraction as a function of the leading additional jet pT in different η regions. Data are compared to predictions from MadGraph , POWHEG interfaced with PYTHIA 6 and HERWIG 6, and MC@NLO interfaced with HERWIG 6 (left) and to MadGraph with varied renormalization, factorization, and jet-parton matching scales (right). For each bin the threshold is defined at the value where the data point is placed. The vertical bars on the data points indicate the statistical uncertainty. The shaded band corresponds to the statistical uncertainty and the total systematic uncertainty added in quadrature. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 21-e:
Measured gap fraction as a function of the leading additional jet pT in different η regions. Data are compared to predictions from MadGraph , POWHEG interfaced with PYTHIA 6 and HERWIG 6, and MC@NLO interfaced with HERWIG 6 (left) and to MadGraph with varied renormalization, factorization, and jet-parton matching scales (right). For each bin the threshold is defined at the value where the data point is placed. The vertical bars on the data points indicate the statistical uncertainty. The shaded band corresponds to the statistical uncertainty and the total systematic uncertainty added in quadrature. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 21-f:
Measured gap fraction as a function of the leading additional jet pT in different η regions. Data are compared to predictions from MadGraph , POWHEG interfaced with PYTHIA 6 and HERWIG 6, and MC@NLO interfaced with HERWIG 6 (left) and to MadGraph with varied renormalization, factorization, and jet-parton matching scales (right). For each bin the threshold is defined at the value where the data point is placed. The vertical bars on the data points indicate the statistical uncertainty. The shaded band corresponds to the statistical uncertainty and the total systematic uncertainty added in quadrature. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 22-a:
Measured gap fraction as a function of the subleading additional jet pT in different |η| regions. Data are compared to predictions from MADGRAPH , POWHEG interfaced with PYTHIA-6 and HERWIG-6, and MC@NLO interfaced with HERWIG-6 (a,c,e) and to MADGRAPH with varied with varied renormalization, factorization, and jet-parton matching scales (b,d,f). For each bin the threshold is defined at the value where the data point is placed. The vertical bars on the data points indicate the statistical uncertainty. The shaded band corresponds to the statistical uncertainty and the total systematic uncertainty added in quadrature. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 22-b:
Measured gap fraction as a function of the subleading additional jet pT in different |η| regions. Data are compared to predictions from MADGRAPH , POWHEG interfaced with PYTHIA-6 and HERWIG-6, and MC@NLO interfaced with HERWIG-6 (a,c,e) and to MADGRAPH with varied with varied renormalization, factorization, and jet-parton matching scales (b,d,f). For each bin the threshold is defined at the value where the data point is placed. The vertical bars on the data points indicate the statistical uncertainty. The shaded band corresponds to the statistical uncertainty and the total systematic uncertainty added in quadrature. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 22-c:
Measured gap fraction as a function of the subleading additional jet pT in different |η| regions. Data are compared to predictions from MADGRAPH , POWHEG interfaced with PYTHIA-6 and HERWIG-6, and MC@NLO interfaced with HERWIG-6 (a,c,e) and to MADGRAPH with varied with varied renormalization, factorization, and jet-parton matching scales (b,d,f). For each bin the threshold is defined at the value where the data point is placed. The vertical bars on the data points indicate the statistical uncertainty. The shaded band corresponds to the statistical uncertainty and the total systematic uncertainty added in quadrature. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 22-d:
Measured gap fraction as a function of the subleading additional jet pT in different |η| regions. Data are compared to predictions from MADGRAPH , POWHEG interfaced with PYTHIA-6 and HERWIG-6, and MC@NLO interfaced with HERWIG-6 (a,c,e) and to MADGRAPH with varied with varied renormalization, factorization, and jet-parton matching scales (b,d,f). For each bin the threshold is defined at the value where the data point is placed. The vertical bars on the data points indicate the statistical uncertainty. The shaded band corresponds to the statistical uncertainty and the total systematic uncertainty added in quadrature. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 22-e:
Measured gap fraction as a function of the subleading additional jet pT in different |η| regions. Data are compared to predictions from MADGRAPH , POWHEG interfaced with PYTHIA-6 and HERWIG-6, and MC@NLO interfaced with HERWIG-6 (a,c,e) and to MADGRAPH with varied with varied renormalization, factorization, and jet-parton matching scales (b,d,f). For each bin the threshold is defined at the value where the data point is placed. The vertical bars on the data points indicate the statistical uncertainty. The shaded band corresponds to the statistical uncertainty and the total systematic uncertainty added in quadrature. The lower part of each plot shows the ratio of the predictions to the data.

png pdf
Figure 22-f:
Measured gap fraction as a function of the subleading additional jet pT in different |η| regions. Data are compared to predictions from MADGRAPH , POWHEG interfaced with PYTHIA-6 and HERWIG-6, and MC@NLO interfaced with HERWIG-6 (a,c,e) and to MADGRAPH with varied with varied renormalization, factorization, and jet-parton matching scales (b,d,f). For each bin the threshold is defined at the value where the data point is placed. The vertical bars on the data points indicate the statistical uncertainty. The shaded band corresponds to the statistical uncertainty and the total systematic uncertainty added in quadrature. The lower part of each plot shows the ratio of the predictions to the data.

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Figure 23-a:
Measured gap fraction as a function of HT in different η regions. Results in data are compared to the nominal MADGRAPH signal sample, POWHEG and MC@NLO (a,c,e) and to the samples with varied renormalization, factorization, and jet-parton matching scales (b,d,f). For each bin the threshold is defined at the value where the data point is placed. The vertical bars on the data points indicate the statistical uncertainty. The shaded band corresponds to the statistical uncertainty and the total systematic uncertainty added in quadrature.

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Figure 23-b:
Measured gap fraction as a function of HT in different η regions. Results in data are compared to the nominal MADGRAPH signal sample, POWHEG and MC@NLO (a,c,e) and to the samples with varied renormalization, factorization, and jet-parton matching scales (b,d,f). For each bin the threshold is defined at the value where the data point is placed. The vertical bars on the data points indicate the statistical uncertainty. The shaded band corresponds to the statistical uncertainty and the total systematic uncertainty added in quadrature.

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Figure 23-c:
Measured gap fraction as a function of HT in different η regions. Results in data are compared to the nominal MADGRAPH signal sample, POWHEG and MC@NLO (a,c,e) and to the samples with varied renormalization, factorization, and jet-parton matching scales (b,d,f). For each bin the threshold is defined at the value where the data point is placed. The vertical bars on the data points indicate the statistical uncertainty. The shaded band corresponds to the statistical uncertainty and the total systematic uncertainty added in quadrature.

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Figure 23-d:
Measured gap fraction as a function of HT in different η regions. Results in data are compared to the nominal MADGRAPH signal sample, POWHEG and MC@NLO (a,c,e) and to the samples with varied renormalization, factorization, and jet-parton matching scales (b,d,f). For each bin the threshold is defined at the value where the data point is placed. The vertical bars on the data points indicate the statistical uncertainty. The shaded band corresponds to the statistical uncertainty and the total systematic uncertainty added in quadrature.

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Figure 23-e:
Measured gap fraction as a function of HT in different η regions. Results in data are compared to the nominal MADGRAPH signal sample, POWHEG and MC@NLO (a,c,e) and to the samples with varied renormalization, factorization, and jet-parton matching scales (b,d,f). For each bin the threshold is defined at the value where the data point is placed. The vertical bars on the data points indicate the statistical uncertainty. The shaded band corresponds to the statistical uncertainty and the total systematic uncertainty added in quadrature.

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Figure 23-f:
Measured gap fraction as a function of HT in different η regions. Results in data are compared to the nominal MADGRAPH signal sample, POWHEG and MC@NLO (a,c,e) and to the samples with varied renormalization, factorization, and jet-parton matching scales (b,d,f). For each bin the threshold is defined at the value where the data point is placed. The vertical bars on the data points indicate the statistical uncertainty. The shaded band corresponds to the statistical uncertainty and the total systematic uncertainty added in quadrature.

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Figure 24-a:
The migration matrices relating the reconstructed level and the particle level in the visible phase space of the tˉt decay products and the additional jets for the pT (a,c) and |η| (b,d) of the leading (top row) and subleading (middle row) additional jets in the event, mjj (c) and ΔRjj (d). The matrices are obtained from simulated tˉt events using MadGraph +PYTHIA 6.

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Figure 24-b:
The migration matrices relating the reconstructed level and the particle level in the visible phase space of the tˉt decay products and the additional jets for the pT (a,c) and |η| (b,d) of the leading (top row) and subleading (middle row) additional jets in the event, mjj (c) and ΔRjj (d). The matrices are obtained from simulated tˉt events using MadGraph +PYTHIA 6.

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Figure 24-c:
The migration matrices relating the reconstructed level and the particle level in the visible phase space of the tˉt decay products and the additional jets for the pT (a,c) and |η| (b,d) of the leading (top row) and subleading (middle row) additional jets in the event, mjj (c) and ΔRjj (d). The matrices are obtained from simulated tˉt events using MadGraph +PYTHIA 6.

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Figure 24-d:
The migration matrices relating the reconstructed level and the particle level in the visible phase space of the tˉt decay products and the additional jets for the pT (a,c) and |η| (b,d) of the leading (top row) and subleading (middle row) additional jets in the event, mjj (c) and ΔRjj (d). The matrices are obtained from simulated tˉt events using MadGraph +PYTHIA 6.

png pdf
Figure 24-e:
The migration matrices relating the reconstructed level and the particle level in the visible phase space of the tˉt decay products and the additional jets for the pT (a,c) and |η| (b,d) of the leading (top row) and subleading (middle row) additional jets in the event, mjj (c) and ΔRjj (d). The matrices are obtained from simulated tˉt events using MadGraph +PYTHIA 6.

png pdf
Figure 24-f:
The migration matrices relating the reconstructed level and the particle level in the visible phase space of the tˉt decay products and the additional jets for the pT (a,c) and |η| (b,d) of the leading (top row) and subleading (middle row) additional jets in the event, mjj (c) and ΔRjj (d). The matrices are obtained from simulated tˉt events using MadGraph +PYTHIA 6.

png pdf
Figure 25-a:
The migration matrices relating the reconstructed level and the particle level in the visible phase space of the tˉt decay products and the additional jets for the pT (a,c,e) and |η| (b,d,f) of the leading (a,b) and subleading (c,d) additional b jets in the event, mbb (e), and ΔRbb (f). The matrices are obtained from simulated tˉt events using MadGraph +PYTHIA 6.

png pdf
Figure 25-b:
The migration matrices relating the reconstructed level and the particle level in the visible phase space of the tˉt decay products and the additional jets for the pT (a,c,e) and |η| (b,d,f) of the leading (a,b) and subleading (c,d) additional b jets in the event, mbb (e), and ΔRbb (f). The matrices are obtained from simulated tˉt events using MadGraph +PYTHIA 6.

png pdf
Figure 25-c:
The migration matrices relating the reconstructed level and the particle level in the visible phase space of the tˉt decay products and the additional jets for the pT (a,c,e) and |η| (b,d,f) of the leading (a,b) and subleading (c,d) additional b jets in the event, mbb (e), and ΔRbb (f). The matrices are obtained from simulated tˉt events using MadGraph +PYTHIA 6.

png pdf
Figure 25-d:
The migration matrices relating the reconstructed level and the particle level in the visible phase space of the tˉt decay products and the additional jets for the pT (a,c,e) and |η| (b,d,f) of the leading (a,b) and subleading (c,d) additional b jets in the event, mbb (e), and ΔRbb (f). The matrices are obtained from simulated tˉt events using MadGraph +PYTHIA 6.

png pdf
Figure 25-e:
The migration matrices relating the reconstructed level and the particle level in the visible phase space of the tˉt decay products and the additional jets for the pT (a,c,e) and |η| (b,d,f) of the leading (a,b) and subleading (c,d) additional b jets in the event, mbb (e), and ΔRbb (f). The matrices are obtained from simulated tˉt events using MadGraph +PYTHIA 6.

png pdf
Figure 25-f:
The migration matrices relating the reconstructed level and the particle level in the visible phase space of the tˉt decay products and the additional jets for the pT (a,c,e) and |η| (b,d,f) of the leading (a,b) and subleading (c,d) additional b jets in the event, mbb (e), and ΔRbb (f). The matrices are obtained from simulated tˉt events using MadGraph +PYTHIA 6.
Tables

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Table 1:
Summary of the typical systematic uncertainties in the measurements of the tˉt+jets and tˉtbˉb (tˉtb) absolute differential cross sections and their sources. The median of the distribution of uncertainties over all bins of each measured differential cross section is quoted.
Summary
Measurements of the absolute and normalized differential top quark pair production cross sections have been presented using pp collisions at a centre-of-mass energy of 8 TeV, corresponding to an integrated luminosity of 19.7 fb1, in the dilepton decay channel as a function of the number of jets in the event, for three different jet pT thresholds, and as a function of the kinematic variables of the leading and subleading additional jets. The results have been compared to the predictions from MadGraph interfaced with PYTHIA6, POWHEG interfaced with both PYTHIA6 and HERWIG6, MC interfaced with HERWIG6, and MadGraph samples with varied renormalization, factorization, and jet-parton matching scales. In general, all these generators are found to give a reasonable description of the data.

The MadGraph and POWHEG generators interfaced with PYTHIA6 describe the data well for all measured jet multiplicities; while MC interfaced with HERWIG6 generates lower multiplicities than observed for the lower-pT thresholds. The prediction from MadGraph with varied renormalization and factorization scales does not provide an improved description of the data compared to the nominal simulation.

These results are also compared to the predictions from POWHEG with the hdamp parameter set to the top quark mass interfaced with PYTHIA6, PYTHIA8, and HERWIG6, which provide a reasonable description of the data within the uncertainties, and the predictions from MadGraph and MG5-aMC@NLO interfaced with PYTHIA8, which generate higher jet multiplicities for all the pT thresholds.

The measured kinematic variables of the leading and subleading additional jets are consistent with the various predictions. The simulations also describe well the data distributions of the leading additional jet pT and HT, although they tend to predict higher pT values and more central values in η. MadGraph with varied parameters yields similar predictions, except for varying the renormalization and factorization scales, which tends to give higher HT values. The MC generator predicts lower yields than observed for the subleading additional jet pT.

The uncertainties in the measured tˉtbˉb (tˉtb) absolute and normalized differential cross sections as a function of the b jet kinematic variables are dominated by the statistical uncertainties. In general, the predictions describe well the shape of the measured cross sections as a function of the variables studied, except for ΔRbb, where they favour smaller values than the measurement. The predictions underestimate the total tˉtbˉb cross section by approximately a factor of 2, in agreement with previous measurements [11]. The calculation by PowHel [19] describes well the shape of the distributions, while the predicted absolute cross section is about 30% lower, but compatible with the measurements within the uncertainties.

The gap fraction has been measured as a function of the pT of the leading and subleading additional jets and HT of the additional jets in different η ranges. For a given threshold value, the gap fraction as a function of HT is lower than the gap fraction as a function of the pT of the leading additional jet, showing that the measurement is probing multiple quark and gluon emission. Within the uncertainties, all predictions describe the gap fraction well as a function of the momentum of the first additional jet, while MC interfaced with HERWIG fails to describe the gap fraction as a function of the subleading additional jet pT and HT.

In general, MadGraph with decreased renormalization and factorization scales more poorly describes the observed gap fraction, while varying the jet-parton matching threshold provides a similar description of the data. The MadGraph and MG5\_aMC@NLO generators interfaced with PYTHIA8 predict lower values than measured. The POWHEG simulation with HDAMP =mt interfaced with PYTHIA8 is consistent with the data, while the simulation interfaced with HERWIG6 and PYTHIA6 tends to worsen the comparison with the measurement. In general, the different measurements presented are in agreement with the SM predictions as formulated by the various event generators, within their uncertainties. The correct description of tˉt+jets production is important since it constitutes a major background in searches for new particles in several supersymmetric models and in tˉtH processes, where the Higgs boson decays into bˉb. The tˉtbˉb (tˉtb) differential cross sections, measured here for the first time, also provide important information about the main irreducible background in the search for tˉtH(bˉb).
Additional Figures

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Additional Figure 1:
Results of αISRs tuning. Jet multiplicity distribution, Njets (with pjetT> 30 GeV), after tuning αISRs with the Njets> 3 bins (where jets predominantly originate from the parton shower) is used as input to Professor [A. Buckley et al., Eur. Phys. J. C65 (2010) 331]. The unfolded CMS data are shown with total error bars. In each plot, the calculated distribution assuming the tuned αISRs is shown with a solid line. The calculated distributions with the lower bound (dashed line) and the upper bound (dot-dashed line) of the tuned αISRs are also displayed. Beneath each plot is shown the ratio of theory predictions to data. The yellow bands indicate the total data uncertainty.

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Additional Figure 2:
Results of αISRs tuning. Jet multiplicity distribution, Njets (with pjetT> 30 GeV), after tuning αISRs with the Njets> 3 bins (where jets predominantly originate from the parton shower) is used as input to Professor [A. Buckley et al., Eur. Phys. J. C65 (2010) 331]. The unfolded CMS data are shown with total error bars. In each plot, the calculated distribution assuming the tuned αISRs is shown with a solid line. The calculated distributions with the lower bound (dashed line) and the upper bound (dot-dashed line) of the tuned αISRs are also displayed. Beneath each plot is shown the ratio of theory predictions to data. The yellow bands indicate the total data uncertainty.

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Additional Figure 3:
Results of αISRs tuning. Jet multiplicity distribution, Njets (with pjetT> 30 GeV), after tuning αISRs with the Njets> 3 bins (where jets predominantly originate from the parton shower) is used as input to Professor [A. Buckley et al., Eur. Phys. J. C65 (2010) 331]. The unfolded CMS data are shown with total error bars. In each plot, the calculated distribution assuming the tuned αISRs is shown with a solid line. The calculated distributions with the lower bound (dashed line) and the upper bound (dot-dashed line) of the tuned αISRs are also displayed. Beneath each plot is shown the ratio of theory predictions to data. The yellow bands indicate the total data uncertainty.

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Additional Figure 4:
Results of αISRs tuning. Jet multiplicity distribution, Njets (with pjetT> 30 GeV), after tuning αISRs with the Njets> 3 bins (where jets predominantly originate from the parton shower) is used as input to Professor [A. Buckley et al., Eur. Phys. J. C65 (2010) 331]. The unfolded CMS data are shown with total error bars. In each plot, the calculated distribution assuming the tuned αISRs is shown with a solid line. The calculated distributions with the lower bound (dashed line) and the upper bound (dot-dashed line) of the tuned αISRs are also displayed. Beneath each plot is shown the ratio of theory predictions to data. The yellow bands indicate the total data uncertainty.

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Additional Figure 5:
αs as a function of the renormalization scale, μR. The uncertainty on the tuned αs value (0.115) corresponds to variations of μR by factors of 0.33 for the upper bound and 4.1 for the lower bound.

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Additional Figure 6:
Summary of tune results and their uncertainties. Two alternative tunes are presented in addition to the previously described one. The input distribution(s) for each tune is indicated below the label of each tune. The αISRs values in the ATLAS ATTBAR-POWHEG tune for PYTHIA8, the CMS CUETP8M1 tune for PYTHIA8 (CMS default in Run II), and the CMS Z2* PYTHIA6 tune (CMS default in Run I), using the CTEQ5M PDF set, are also displayed.
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