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CMS-TOP-15-016 ; ATLAS-TOPQ-2016-16 ; CERN-EP-2017-236
Combination of inclusive and differential $\mathrm{t\bar{t}}$ charge asymmetry measurements using ATLAS and CMS data at $\sqrt{s} = $ 7 and 8 TeV
JHEP 04 (2018) 033
Abstract: This paper presents combinations of inclusive and differential measurements of the charge asymmetry ($A_{\mathrm{C}}$) in top quark pair ($\mathrm{t\bar{t}}$) events with a lepton+jets signature by the ATLAS and CMS Collaborations, using data from LHC proton-proton collisions at centre-of-mass energies of 7 and 8 TeV corresponding to integrated luminosities of about 5 and 20 fb$^{-1}$ for each experiment, respectively. The resulting combined LHC measurements of the inclusive charge asymmetry are $A_{\mathrm{C}}^{\mathrm{LHC7}} =$ 0.005 $\pm$ 0.007 (stat) $\pm$ 0.006 (syst) at 7 TeV and $A_{\mathrm{C}}^{\mathrm{LHC8}} =$ 0.0055 $\pm$ 0.0023 (stat) $\pm$ 0.0025 (syst) at 8 TeV. These values, as well as the combination of $A_{\mathrm{C}}$ measurements as a function of the invariant mass of the $\mathrm{t\bar{t}}$ system at 8 TeV, are consistent with the respective standard model predictions.
Figures & Tables Summary References CMS Publications
Figures

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Figure 1:
Summary of the single inclusive measurements and the LHC combination at $\sqrt {s} = $ 7 TeV compared to the theoretical prediction calculated at NLO precision in the strong coupling constant (including NLO electroweak corrections). The inner bars indicate the statistical uncertainty, while the outer bars indicate the total uncertainty. The uncertainty in the theoretical prediction is dominated by uncertainties due to scale variations.

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Figure 2:
Summary of the single inclusive measurements and the LHC combination at $\sqrt {s} = $ 8 TeV compared to theoretical predictions at NLO and NNLO precision in the strong coupling constant (including NLO electroweak corrections). The inner bars indicate the statistical uncertainty, while the outer bars indicate the total uncertainty. The uncertainty in the theoretical prediction is dominated by uncertainties due to scale variations.

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Figure 3:
Measured inclusive charge asymmetries $A_{\mathrm {C}}$ at the LHC at $\sqrt {s} = $ 8 TeV (horizontal line) versus forward-backward asymmetries $A_{\mathrm {FB}}$ (vertical lines) at the Tevatron [1,2], compared with the SM prediction at QCD NNLO (+EW NLO) [19,20,21] and predictions incorporating various potential BSM contributions [62,63]: a $\mathrm{W'} $ boson, a heavy axigluon ($G_{\mu}$), a scalar isodoublet ($\phi $), a colour triplet scalar ($\omega ^{4}$), and a colour sextet scalar ($\Omega ^{4}$).

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Figure 4:
Charge asymmetry in six bins of the invariant mass of the ${\mathrm{t} {}\mathrm{\bar{t}}} $ system as measured in the ATLAS and CMS analyses and the combined results. The last bin includes the overflow. The gray band indicates the uncertainty in the combined result.

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Figure 5:
The combined ATLAS+CMS charge asymmetry in six bins of the invariant mass of the ${\mathrm{t} {}\mathrm{\bar{t}}} $ system in comparison with theoretical predictions for the SM [18,19,20,21] and two versions of a colour-octet model [64]. The last bin includes the overflow. The uncertainties, indicated by the shaded areas, reported for the SM predictions are dominated by scale variations and are small, while the uncertainties reported for the colour-octet model are statistical uncertainties in the simulation.
Tables

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Table 1:
Overview of the most recent theoretical predictions for the inclusive $A_{\mathrm {C}}$ at the LHC at $\sqrt {s} = $ 7 and 8 TeV, along with the experimental results from the ATLAS and CMS Collaborations. The uncertainties in all theoretical predictions are dominated by the uncertainties due to scale variations. Wherever available, the uncertainties in the experimental results are given separately as statistical (first contribution) and systematic (second contribution) uncertainties, otherwise the total uncertainty is quoted. The ATLAS and CMS experimental results are described in Section 2.

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Table 2:
Uncertainties in the input measurements, assumed correlations $\rho $ between the uncertainties, and the resulting values for the uncertainties in the inclusive combination at $\sqrt {s} = $ 7 TeV. Systematic uncertainties smaller than 0.001 are ignored.

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Table 3:
Uncertainties in the input measurements, assumed correlations $\rho $ between the uncertainties, and the resulting values for the uncertainties in the inclusive combination at $\sqrt {s} = $ 8 TeV. The breakdown of the systematic uncertainties of the ATLAS analysis (for the systematic uncertainties that are marginalised) corresponds to the expected uncertainties after marginalisation.

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Table 4:
ATLAS and CMS charge asymmetry results at 8 TeV in six bins of $m_{{\mathrm{t} {}\mathrm{\bar{t}}}}$ and the combined values along with statistical and systematic uncertainties. In addition the predictions from QCD calculations at NLO [18] and NNLO [19,20,21] are given.

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Table 5:
Correlation matrix for the six correlated bins of the combined result. "L$i$'' corresponds to bin $i$ of the LHC combination.
Summary
Combinations of ATLAS and CMS measurements of the $\mathrm{t\bar{t}}$ charge asymmetry in lepton+jets final states are reported using proton-proton collision data collected at the LHC at centre-of-mass energies of 7 and 8 TeV and corresponding to integrated luminosities for each experiment of up to 5 and 20 fb$^{-1}$ , respectively. Inclusive charge asymmetry results are combined at 7 and 8 TeV, and differential measurements of the charge asymmetry as a function of the invariant mass of the $\mathrm{t\bar{t}}$ system at 8 TeV are combined. Detailed studies of the correlations between the different measurements and systematic uncertainties have been performed. The precision of the resulting combinations is significantly improved with respect to the corresponding individual measurements. The individual results and the combinations are in agreement with standard model calculations at next-to-leading-order and next-to-next-to-leading-order precision and also compatible with zero asymmetry. They uniquely restrict the phase space of possible new physics phenomena which would produce asymmetries larger than the standard model ones.
References
1 CDF Collaboration Measurement of the top quark forward-backward production asymmetry and its dependence on event kinematic properties PRD 87 (2013) 092002 1211.1003
2 D0 Collaboration Measurement of the forward-backward asymmetry in top quark-antiquark production in $ p\bar{p} $ collisions using the lepton+jets channel PRD 90 (2014) 072011 1405.0421
3 J. H. Kuhn and G. Rodrigo Charge asymmetries of top quarks at hadron colliders revisited JHEP 01 (2012) 063 1109.6830
4 J. A. Aguilar-Saavedra, D. Amidei, A. Juste, and M. Perez-Victoria Asymmetries in top quark pair production at hadron colliders Rev. Mod. Phys. 87 (2015) 421 1406.1798
5 J. H. Kuhn and G. Rodrigo Charge asymmetry in hadroproduction of heavy quarks PRL 81 (1998) 49 hep-ph/9802268
6 ATLAS Collaboration The ATLAS Experiment at the CERN Large Hadron Collider JINST 3 (2008) S08003
7 CMS Collaboration The CMS experiment at the CERN LHC JINST 3 (2008) S08004 CMS-00-001
8 ATLAS Collaboration Measurement of the top quark pair production charge asymmetry in proton-proton collisions at $ \sqrt{s} = $ 7 TeV using the ATLAS detector JHEP 02 (2014) 107 1311.6724
9 CMS Collaboration Inclusive and differential measurements of the $ t \bar{t} $ charge asymmetry in proton-proton collisions at $ \sqrt{s} = $ 7 TeV PLB 717 (2012) 129 CMS-TOP-11-030
1207.0065
10 ATLAS Collaboration Measurement of the charge asymmetry in top-quark pair production in the lepton-plus-jets final state in $ pp $ collision data at $ \sqrt{s}= $ 8 TeV with the ATLAS detector EPJC 76 (2016) 87 1509.02358
11 CMS Collaboration Measurement of the charge asymmetry in top quark pair production in $ pp $ collisions at $ \sqrt{s} = $ 8 TeV using a template method PRD 93 (2016) 034014 CMS-TOP-13-013
1508.03862
12 CMS Collaboration Inclusive and differential measurements of the $ t\overline{t} $ charge asymmetry in $ pp $ collisions at $ \sqrt{s} = $ 8 TeV PLB 757 (2016) 154 CMS-TOP-12-033
1507.03119
13 ATLAS Collaboration Measurement of the charge asymmetry in dileptonic decays of top quark pairs in $ pp $ collisions at $ \sqrt{s}= $ 7 TeV using the ATLAS detector JHEP 05 (2015) 061 1501.07383
14 CMS Collaboration Measurements of the $ \mathrm{t\bar{t}} $ charge asymmetry using the dilepton decay channel in pp collisions at $ \sqrt{s} = $ 7 TeV JHEP 04 (2014) 191 CMS-TOP-12-010
1402.3803
15 ATLAS Collaboration Measurements of the charge asymmetry in top-quark pair production in the dilepton final state at $ \sqrt{s}= $ 8 TeV with the ATLAS detector PRD 94 (2016) 032006 1604.05538
16 CMS Collaboration Measurements of $ \mathrm{t\bar{t}} $ charge asymmetry using dilepton final states in pp collisions at $ \sqrt s= $ 8 TeV PLB 760 (2016) 365 CMS-TOP-15-009
1603.06221
17 ATLAS Collaboration Measurement of the charge asymmetry in highly boosted top-quark pair production in $ \sqrt{s} = $ 8 TeV $ pp $ collision data collected by the ATLAS experiment PLB 756 (2016) 52 1512.06092
18 W. Bernreuther and Z.-G. Si Top quark and leptonic charge asymmetries for the Tevatron and LHC PRD 86 (2012) 034026 1205.6580
19 M. Czakon et al. Top-pair production at the LHC through NNLO QCD and NLO EW 1705.04105
20 M. Czakon, D. Heymes, and A. Mitov Dynamical scales for multi-TeV top-pair production at the LHC JHEP 04 (2017) 071 1606.03350
21 M. Czakon, P. Fiedler, D. Heymes, and A. Mitov NNLO QCD predictions for fully-differential top-quark pair production at the Tevatron JHEP 05 (2016) 034 1601.05375
22 M. L. Mangano et al. ALPGEN, a generator for hard multiparton processes in hadronic collisions JHEP 07 (2003) 001 hep-ph/0206293
23 J. Pumplin et al. New generation of parton distributions with uncertainties from global QCD analysis JHEP 07 (2002) 012 hep-ph/0201195
24 B. P. Kersevan and E. Richter-W\cas The Monte Carlo event generator AcerMC versions 2.0 to 3.8 with interfaces to PYTHIA 6.4, HERWIG 6.5 and ARIADNE 4.1 CPC 184 (2013) 919 hep-ph/0405247
25 S. Frixione et al. The MC$ @ $NLO 4.0 Event Generator 1010.0819
26 S. Frixione, P. Nason, and G. Ridolfi A positive-weight next-to-leading-order Monte Carlo for heavy flavour hadroproduction JHEP 09 (2007) 126 0707.3088
27 E. Re Single-top $ Wt $-channel production matched with parton showers using the POWHEG method EPJC 71 (2011) 1547 1009.2450
28 S. Alioli, P. Nason, C. Oleari, and E. Re NLO single-top production matched with shower in POWHEG: $ s $- and $ t $-channel contributions JHEP 09 (2009) 111 0907.4076
29 S. Alioli, P. Nason, C. Oleari, and E. Re A general framework for implementing NLO calculations in shower Monte Carlo programs: the POWHEG BOX JHEP 06 (2010) 043 1002.2581
30 P. Nason A new method for combining NLO QCD with shower Monte Carlo algorithms JHEP 11 (2004) 040 hep-ph/0409146
31 S. Frixione, P. Nason, and C. Oleari Matching NLO QCD computations with parton shower simulations: the POWHEG method JHEP 11 (2007) 070 0709.2092
32 H.-L. Lai et al. New parton distributions for collider physics PRD 82 (2010) 074024 1007.2241
33 G. Corcella et al. HERWIG 6: An event generator for hadron emission reactions with interfering gluons (including supersymmetric processes) JHEP 01 (2001) 010 hep-ph/0011363
34 J. M. Butterworth, J. R. Forshaw, and M. H. Seymour Multiparton interactions in photoproduction at HERA Z. Phys. C 72 (1996) 637 hep-ph/9601371
35 ATLAS Collaboration New ATLAS event generator tunes to 2010 data ATLAS report ATL-PHYS-PUB-2011-008, ATL-COM-PHYS-2011-329
36 T. Sjostrand, S. Mrenna, and P. Z. Skands PYTHIA 6.4 physics and manual JHEP 05 (2006) 026 hep-ph/0603175
37 P. Z. Skands Tuning Monte Carlo generators: The Perugia tunes PRD 82 (2010) 074018 1005.3457
38 ATLAS Collaboration Measurement of the top quark-pair production cross section with ATLAS in $ pp $ collisions at $ \sqrt{s}= $ 7 TeV EPJC 71 (2011) 1577 1012.1792
39 ATLAS Collaboration Calibration of $ b $-tagging using dileptonic top pair events in a combinatorial likelihood approach with the ATLAS experiment ATLAS note ATLAS-CONF-2014-004
40 ATLAS Collaboration Calibration of the performance of $ b $-tagging for $ c $ and light-flavour jets in the 2012 ATLAS data ATLAS-CONF-2014-046(2014)
41 J. Erdmann et al. A likelihood-based reconstruction algorithm for top-quark pairs and the KLFitter framework NIMA 748 (2014) 18 1312.5595
42 G. Choudalakis Fully Bayesian Unfolding 1201.4612
43 J. Alwall et al. MadGraph 5: going beyond JHEP 06 (2011) 128 1106.0522
44 CMS Collaboration Measurement of the underlying event activity at the LHC with $ \sqrt{s}= $ 7 TeV and comparison with $ \sqrt{s} = $ 0.9 TeV JHEP 09 (2011) 109 CMS-QCD-10-010
1107.0330
45 CMS Collaboration Event generator tunes obtained from underlying event and multiparton scattering measurements EPJC 76 (2016) 155 CMS-GEN-14-001
1512.00815
46 CMS Collaboration Study of the underlying event at forward rapidity in pp collisions at $ \sqrt{s} = $ 0.9, 2.76, and 7 TeV JHEP 04 (2013) 072 CMS-FWD-11-003
1302.2394
47 CMS Collaboration Identification of $ b $-quark jets with the CMS experiment JINST 8 (2013) P04013 CMS-BTV-12-001
1211.4462
48 S. Schmitt TUnfold: an algorithm for correcting migration effects in high energy physics JINST 7 (2012) T10003 1205.6201
49 L. Lyons, D. Gibaut, and P. Clifford How to combine correlated estimates of a single physical quantity NIMA 270 (1988) 110
50 A. Valassi Combining correlated measurements of several different physical quantities NIMA 500 (2003) 391
51 R. Nisius On the combination of correlated estimates of a physics observable EPJC 74 (2014) 3004 1402.4016
52 ATLAS and CMS Collaborations Jet energy scale uncertainty correlations between ATLAS and CMS ATL-PHYS-PUB-2014-020, CMS-PAS-JME-14-003 (2014)
53 P. M. Nadolsky et al. Implications of CTEQ global analysis for collider observables PRD 78 (2008) 013004 0802.0007
54 A. D. Martin, W. J. Stirling, R. S. Thorne, and G. Watt Parton distributions for the LHC EPJC 63 (2009) 189 0901.0002
55 R. D. Ball et al. Impact of heavy quark masses on parton distributions and LHC phenomenology NPB 849 (2011) 296 1101.1300
56 M. Botje et al. The PDF4LHC Working Group Interim Recommendations 1101.0538
57 M. Cacciari, G. P. Salam, and G. Soyez The anti-$ k_t $ jet clustering algorithm JHEP 04 (2008) 063 0802.1189
58 CMS Collaboration Particle-flow reconstruction and global event description with the CMS detector Accepted by JINST CMS-PRF-14-001
1706.04965
59 ATLAS and CMS Collaborations Jet energy scale uncertainty correlations between ATLAS and CMS at 8 TeV
60 CMS Collaboration Measurement of the differential cross section for top quark pair production in $ pp $ collisions at $ \sqrt{s} = $ 8 TeV EPJC 75 (2015) 542 CMS-TOP-12-028
1505.04480
61 ATLAS Collaboration Measurements of top-quark pair differential cross-sections in the lepton+jets channel in $ pp $ collisions at $ \sqrt{s}= $ 8 TeV using the ATLAS detector EPJC 76 (2016) 538 1511.04716
62 J. A. Aguilar-Saavedra and M. Perez-Victoria Asymmetries in $ t\bar{t} $ production: LHC versus Tevatron PRD 84 (2011) 115013 1105.4606
63 J. A. Aguilar-Saavedra and M. Perez-Victoria Simple models for the top asymmetry: Constraints and predictions JHEP 09 (2011) 097 1107.0841
64 J. A. Aguilar-Saavedra Portrait of a colour octet JHEP 08 (2014) 172 1405.5826
Compact Muon Solenoid
LHC, CERN