Abstract
The production of top-quark pairs that subsequently decay hadronically and leptonically (lepton+jets channel) is one of the key processes for the study of top-quark properties at the LHC. In this article, NLO QCD corrections of order \( \mathcal{O}\left({\alpha}_{\mathrm{s}}^3{\alpha}^4\right) \) to the hadronic process \( \mathrm{pp}\to {\mu}^{-}{\overline{\nu}}_{\mu}\mathrm{b}\overline{\mathrm{b}}\mathrm{j}\mathrm{j} \) are presented. The computation includes off-shell as well as non-resonant contributions, and experimental event selections are used in order to provide realistic predictions. The results are provided in the form of cross sections and differential distributions. The QCD corrections are sizeable and different from the ones of the fully leptonic channel. This is due to the different final state where here four jets are present at leading order.
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A. Denner, S. Dittmaier, S. Kallweit and S. Pozzorini, NLO QCD corrections to WWbb production at hadron colliders, Phys. Rev. Lett. 106 (2011) 052001 [arXiv:1012.3975] [INSPIRE].
G. Bevilacqua, M. Czakon, A. van Hameren, C.G. Papadopoulos and M. Worek, Complete off-shell effects in top quark pair hadroproduction with leptonic decay at next-to-leading order, JHEP 02 (2011) 083 [arXiv:1012.4230] [INSPIRE].
A. Denner, S. Dittmaier, S. Kallweit and S. Pozzorini, NLO QCD corrections to off-shell top-antitop production with leptonic decays at hadron colliders, JHEP 10 (2012) 110 [arXiv:1207.5018] [INSPIRE].
R. Frederix, Top Quark Induced Backgrounds to Higgs Production in the W W (∗) → llνν Decay Channel at Next-to-Leading-Order in QCD, Phys. Rev. Lett. 112 (2014) 082002 [arXiv:1311.4893] [INSPIRE].
F. Cascioli, S. Kallweit, P. Maierhöfer and S. Pozzorini, A unified NLO description of top-pair and associated Wt production, Eur. Phys. J. C 74 (2014) 2783 [arXiv:1312.0546] [INSPIRE].
J.M. Campbell, R.K. Ellis, P. Nason and E. Re, Top-pair production and decay at NLO matched with parton showers, JHEP 04 (2015) 114 [arXiv:1412.1828] [INSPIRE].
T. Ježo, J.M. Lindert, P. Nason, C. Oleari and S. Pozzorini, An NLO+PS generator for \( t\overline{t} \) and W t production and decay including non-resonant and interference effects, Eur. Phys. J. C 76 (2016) 691 [arXiv:1607.04538] [INSPIRE].
A. Denner and M. Pellen, NLO electroweak corrections to off-shell top-antitop production with leptonic decays at the LHC, JHEP 08 (2016) 155 [arXiv:1607.05571] [INSPIRE].
G. Bevilacqua, H.B. Hartanto, M. Kraus and M. Worek, Top Quark Pair Production in Association with a Jet with Next-to-Leading-Order QCD Off-Shell Effects at the Large Hadron Collider, Phys. Rev. Lett. 116 (2016) 052003 [arXiv:1509.09242] [INSPIRE].
G. Bevilacqua, H.B. Hartanto, M. Kraus and M. Worek, Off-shell top quarks with one jet at the LHC: a comprehensive analysis at NLO QCD, JHEP 11 (2016) 098 [arXiv:1609.01659] [INSPIRE].
A. Denner and R. Feger, NLO QCD corrections to off-shell top-antitop production with leptonic decays in association with a Higgs boson at the LHC, JHEP 11 (2015) 209 [arXiv:1506.07448] [INSPIRE].
A. Denner, J.-N. Lang, M. Pellen and S. Uccirati, Higgs production in association with off-shell top-antitop pairs at NLO EW and QCD at the LHC, JHEP 02 (2017) 053 [arXiv:1612.07138] [INSPIRE].
J. Gao and A.S. Papanastasiou, Top-quark pair-production and decay at high precision, Phys. Rev. D 96 (2017) 051501 [arXiv:1705.08903] [INSPIRE].
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 [arXiv:1601.05375] [INSPIRE].
M. Czakon, D. Heymes and A. Mitov, Dynamical scales for multi-TeV top-pair production at the LHC, JHEP 04 (2017) 071 [arXiv:1606.03350] [INSPIRE].
G. Heinrich, A. Maier, R. Nisius, J. Schlenk and J. Winter, NLO QCD corrections to \( {W}^{+}{W}^{-}b\overline{b} \) production with leptonic decays in the light of top quark mass and asymmetry measurements, JHEP 06 (2014) 158 [arXiv:1312.6659] [INSPIRE].
G. Heinrich, A. Maier, R. Nisius, J. Schlenk, M. Schulze, L. Scyboz et al., NLO and off-shell effects in top quark mass determinations, arXiv:1709.08615 [INSPIRE].
G. Bevilacqua, H.B. Hartanto, M. Kraus, M. Schulze and M. Worek, Top quark mass studies with \( t\overline{t}j \) at the LHC, arXiv:1710.07515 [INSPIRE].
ATLAS collaboration, Measurements of top-quark pair differential cross-sections in the lepton+jets channel in pp collisions at \( \sqrt{s}=13 \) TeV using the ATLAS detector, JHEP 11 (2017) 191 [arXiv:1708.00727] [INSPIRE].
CMS collaboration, Measurement of differential cross sections for top quark pair production using the lepton+jets final state in proton-proton collisions at 13 TeV, Phys. Rev. D 95 (2017) 092001 [arXiv:1610.04191] [INSPIRE].
A. Manohar, P. Nason, G.P. Salam and G. Zanderighi, How bright is the proton? A precise determination of the photon parton distribution function, Phys. Rev. Lett. 117 (2016) 242002 [arXiv:1607.04266] [INSPIRE].
B. Biedermann, A. Denner and M. Pellen, Complete NLO corrections to W + W + scattering and its irreducible background at the LHC, JHEP 10 (2017) 124 [arXiv:1708.00268] [INSPIRE].
F.A. Berends, R. Pittau and R. Kleiss, All electroweak four fermion processes in electron - positron collisions, Nucl. Phys. B 424 (1994) 308 [hep-ph/9404313] [INSPIRE].
A. Denner, S. Dittmaier, M. Roth and D. Wackeroth, Predictions for all processes e + e − → 4 fermions +γ, Nucl. Phys. B 560 (1999) 33 [hep-ph/9904472] [INSPIRE].
S. Dittmaier and M. Roth, LUSIFER: A LUcid approach to six FERmion production, Nucl. Phys. B 642 (2002) 307 [hep-ph/0206070] [INSPIRE].
S. Actis, A. Denner, L. Hofer, A. Scharf and S. Uccirati, Recursive generation of one-loop amplitudes in the Standard Model, JHEP 04 (2013) 037 [arXiv:1211.6316] [INSPIRE].
S. Actis, A. Denner, L. Hofer, J.-N. Lang, A. Scharf and S. Uccirati, RECOLA: REcursive Computation of One-Loop Amplitudes, Comput. Phys. Commun. 214 (2017) 140 [arXiv:1605.01090] [INSPIRE].
B. Biedermann, S. Bräuer, A. Denner, M. Pellen, S. Schumann and J.M. Thompson, Automation of NLO QCD and EW corrections with Sherpa and Recola, Eur. Phys. J. C 77 (2017) 492 [arXiv:1704.05783] [INSPIRE].
W. Kilian et al., WHIZARD 2.6, A generic Monte-Carlo integration and event generation package for multi-particle processes, MANUAL, https://whizard.hepforge.org/manual.pdf (2017).
W. Kilian, S. Brass, T. Ohl, J. Reuter, V. Rothe, P. Stienemeier et al., New Developments in WHIZARD Version 2.6, arXiv:1801.08034 [INSPIRE].
A. Denner, S. Dittmaier and L. Hofer, COLLIER — A fortran-library for one-loop integrals, PoS(LL2014)071 [arXiv:1407.0087] [INSPIRE].
A. Denner, S. Dittmaier and L. Hofer, Collier: A fortran-based complex one-loop library in extended regularizations, Comput. Phys. Commun. 212 (2017) 220 [arXiv:1604.06792] [INSPIRE].
G. ’t Hooft and M.J.G. Veltman, Scalar one loop integrals, Nucl. Phys. B 153 (1979) 365 [INSPIRE].
W. Beenakker and A. Denner, Infrared divergent scalar box integrals with applications in the electroweak standard model, Nucl. Phys. B 338 (1990) 349 [INSPIRE].
S. Dittmaier, Separation of soft and collinear singularities from one loop N point integrals, Nucl. Phys. B 675 (2003) 447 [hep-ph/0308246] [INSPIRE].
A. Denner and S. Dittmaier, Scalar one-loop 4-point integrals, Nucl. Phys. B 844 (2011) 199 [arXiv:1005.2076] [INSPIRE].
G. Passarino and M.J.G. Veltman, One-loop corrections for e + e − annihilation into μ + μ − in the Weinberg model, Nucl. Phys. B 160 (1979) 151 [INSPIRE].
A. Denner and S. Dittmaier, Reduction of one loop tensor five point integrals, Nucl. Phys. B 658 (2003) 175 [hep-ph/0212259] [INSPIRE].
A. Denner and S. Dittmaier, Reduction schemes for one-loop tensor integrals, Nucl. Phys. B 734 (2006) 62 [hep-ph/0509141] [INSPIRE].
A. Denner, S. Dittmaier, M. Roth and L.H. Wieders, Electroweak corrections to charged-current e + e − → 4 fermion processes: Technical details and further results, Nucl. Phys. B 724 (2005) 247 [Erratum ibid. B 854 (2012) 504] [hep-ph/0505042] [INSPIRE].
S. Catani and M.H. Seymour, A General algorithm for calculating jet cross-sections in NLO QCD, Nucl. Phys. B 485 (1997) 291 [Erratum ibid. B 510 (1998) 503] [hep-ph/9605323] [INSPIRE].
S. Dittmaier, A General approach to photon radiation off fermions, Nucl. Phys. B 565 (2000) 69 [hep-ph/9904440] [INSPIRE].
J. Alwall, R. Frederix, S. Frixione, V. Hirschi, F. Maltoni, O. Mattelaer et al., The automated computation of tree-level and next-to-leading order differential cross sections and their matching to parton shower simulations, JHEP 07 (2014) 079 [arXiv:1405.0301] [INSPIRE].
Z. Nagy and Z. Trócsányi, Next-to-leading order calculation of four jet observables in electron positron annihilation, Phys. Rev. D 59 (1999) 014020 [Erratum ibid. D 62 (2000) 099902] [hep-ph/9806317] [INSPIRE].
A. Denner, J.-N. Lang and S. Uccirati, Recola2: REcursive Computation of One-Loop Amplitudes 2, Comput. Phys. Commun. [arXiv:1711.07388] [INSPIRE].
A. Denner, J.-N. Lang and S. Uccirati, NLO electroweak corrections in extended Higgs Sectors with RECOLA2, JHEP 07 (2017) 087 [arXiv:1705.06053] [INSPIRE].
J.R. Andersen et al., Les Houches 2013: Physics at TeV Colliders: Standard Model Working Group Report, arXiv:1405.1067 [INSPIRE].
A. Buckley, J. Ferrando, S. Lloyd, K. Nordström, B. Page, M. Rüfenacht et al., LHAPDF6: parton density access in the LHC precision era, Eur. Phys. J. C 75 (2015) 132 [arXiv:1412.7420] [INSPIRE].
NNPDF collaboration, R.D. Ball et al., Parton distributions for the LHC Run II, JHEP 04 (2015) 040 [arXiv:1410.8849] [INSPIRE].
A. Denner, S. Dittmaier, M. Roth and D. Wackeroth, Electroweak radiative corrections to e + e − → W W → 4 fermions in double pole approximation: The RACOONWW approach, Nucl. Phys. B 587 (2000) 67 [hep-ph/0006307] [INSPIRE].
Particle Data Group collaboration, C. Patrignani et al., Review of Particle Physics, Chin. Phys. C 40 (2016) 100001 [INSPIRE].
LHC Higgs Cross Section Working Group collaboration, D. de Florian et al., Handbook of LHC Higgs Cross Sections: 4. Deciphering the Nature of the Higgs Sector, arXiv:1610.07922 [INSPIRE].
D. Yu. Bardin, A. Leike, T. Riemann and M. Sachwitz, Energy-dependent width effects in e + e − -annihilation near the Z-boson pole, Phys. Lett. B 206 (1988) 539 [INSPIRE].
L. Basso, S. Dittmaier, A. Huss and L. Oggero, Techniques for the treatment of IR divergences in decay processes at NLO and application to the top-quark decay, Eur. Phys. J. C 76 (2016) 56 [arXiv:1507.04676] [INSPIRE].
M. Cacciari, G.P. Salam and G. Soyez, The anti-k t jet clustering algorithm, JHEP 04 (2008) 063 [arXiv:0802.1189] [INSPIRE].
U. Baur, Weak boson emission in hadron collider processes, Phys. Rev. D 75 (2007) 013005 [hep-ph/0611241] [INSPIRE].
A. Bredenstein, A. Denner, S. Dittmaier and S. Pozzorini, NLO QCD corrections to ttbb production at the LHC: 1. Quark-antiquark annihilation, JHEP 08 (2008) 108 [arXiv:0807.1248] [INSPIRE].
A. Bredenstein, A. Denner, S. Dittmaier and S. Pozzorini, NLO QCD corrections to \( pp\to t\overline{t}b\overline{b}+X \) at the LHC, Phys. Rev. Lett. 103 (2009) 012002 [arXiv:0905.0110] [INSPIRE].
A. Bredenstein, A. Denner, S. Dittmaier and S. Pozzorini, NLO QCD corrections to \( t\overline{t}b\overline{b} \) production at the LHC: 2. Full hadronic results, JHEP 03 (2010) 021 [arXiv:1001.4006] [INSPIRE].
A. Denner, R. Feger and A. Scharf, Irreducible background and interference effects for Higgs-boson production in association with a top-quark pair, JHEP 04 (2015) 008 [arXiv:1412.5290] [INSPIRE].
S. Catani and B.R. Webber, Infrared safe but infinite: Soft gluon divergences inside the physical region, JHEP 10 (1997) 005 [hep-ph/9710333] [INSPIRE].
CMS collaboration, Measurement of the \( t\overline{t} \) production cross section using events with one lepton and at least one jet in pp collisions at \( \sqrt{s} \) = 13 TeV, JHEP 09 (2017) 051 [arXiv:1701.06228] [INSPIRE].
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Denner, A., Pellen, M. Off-shell production of top-antitop pairs in the lepton+jets channel at NLO QCD. J. High Energ. Phys. 2018, 13 (2018). https://doi.org/10.1007/JHEP02(2018)013
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DOI: https://doi.org/10.1007/JHEP02(2018)013