Abstract
We present phenomenological results for \( t\overline{t}j \) + X production at the Large Hadron Collider, of interest for designing forthcoming experimental analyses of this process. We focus on those cases where the \( t\overline{t}j \) + X process is considered as a signal. We discuss present theoretical uncertainties and the dependence on relevant input parameters entering the computation. For the \( \mathcal{R} \) distribution, which depends on the invariant mass of the \( t\overline{t}j \)-system, we present reference predictions in the on-shell, \( \overline{\mathrm{MS}} \) and MSR top-quark mass renormalization schemes, applying the latter scheme to this process for the first time. Our conclusions are particularly interesting for those analyses aiming at extracting the top-quark mass from cross-section measurements.
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S. Alioli et al., A new observable to measure the top-quark mass at hadron colliders, Eur. Phys. J. C 73 (2013) 2438 [arXiv:1303.6415] [INSPIRE].
ATLAS collaboration, Determination of the top-quark pole mass using \( t\overline{t} \) + 1-jet events collected with the ATLAS experiment in 7 TeV pp collisions, JHEP 10 (2015) 121 [arXiv:1507.01769] [INSPIRE].
J. Fuster, A. Irles, D. Melini, P. Uwer and M. Vos, Extracting the top-quark running mass using \( t\overline{t} \) + 1-jet events produced at the Large Hadron Collider, Eur. Phys. J. C 77 (2017) 794 [arXiv:1704.00540] [INSPIRE].
CMS collaboration, Determination of the normalised invariant mass distribution of \( t\overline{t} \) + jet and extraction of the top quark mass, Tech. Rep. CMS-PAS-TOP-13-006, CERN, Geneva, Switzerland (2016).
ATLAS collaboration, Measurement of the top-quark mass in \( t\overline{t} \) + 1-jet events collected with the ATLAS detector in pp collisions at \( \sqrt{s} \) = 8 TeV, JHEP 11 (2019) 150 [arXiv:1905.02302] [INSPIRE].
A.H. Hoang, A. Jain, I. Scimemi and I.W. Stewart, Infrared renormalization group flow for heavy quark masses, Phys. Rev. Lett. 101 (2008) 151602 [arXiv:0803.4214] [INSPIRE].
A.H. Hoang et al., The MSR mass and the O(ΛQCD) renormalon sum rule, JHEP 04 (2018) 003 [arXiv:1704.01580] [INSPIRE].
CMS collaboration, Measurement of \( t\overline{t} \) normalised multi-differential cross sections in pp collisions at \( \sqrt{s} \) = 13 TeV, and simultaneous determination of the strong coupling strength, top quark pole mass, and parton distribution functions, Eur. Phys. J. C 80 (2020) 658 [arXiv:1904.05237] [INSPIRE].
S. Dittmaier, P. Uwer and S. Weinzierl, NLO QCD corrections to \( t\overline{t} \) + jet production at hadron colliders, Phys. Rev. Lett. 98 (2007) 262002 [hep-ph/0703120] [INSPIRE].
S. Dittmaier, P. Uwer and S. Weinzierl, Hadronic top-quark pair production in association with a hard jet at next-to-leading order QCD: phenomenological studies for the Tevatron and the LHC, Eur. Phys. J. C 59 (2009) 625 [arXiv:0810.0452] [INSPIRE].
K. Melnikov and M. Schulze, NLO QCD corrections to top quark pair production in association with one hard jet at hadron colliders, Nucl. Phys. B 840 (2010) 129 [arXiv:1004.3284] [INSPIRE].
K. Melnikov, A. Scharf and M. Schulze, Top quark pair production in association with a jet: QCD corrections and jet radiation in top quark decays, Phys. Rev. D 85 (2012) 054002 [arXiv:1111.4991] [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].
R.K. Ellis, Z. Kunszt, K. Melnikov and G. Zanderighi, One-loop calculations in quantum field theory: from Feynman diagrams to unitarity cuts, Phys. Rept. 518 (2012) 141 [arXiv:1105.4319] [INSPIRE].
G. Bevilacqua et al., HELAC-NLO, Comput. Phys. Commun. 184 (2013) 986 [arXiv:1110.1499] [INSPIRE].
G. Ossola, C.G. Papadopoulos and R. Pittau, Reducing full one-loop amplitudes to scalar integrals at the integrand level, Nucl. Phys. B 763 (2007) 147 [hep-ph/0609007] [INSPIRE].
P. Draggiotis, M.V. Garzelli, C.G. Papadopoulos and R. Pittau, Feynman rules for the rational part of the QCD 1-loop amplitudes, JHEP 04 (2009) 072 [arXiv:0903.0356] [INSPIRE].
V. Hirschi, R. Frederix, S. Frixione, M.V. Garzelli, F. Maltoni and R. Pittau, Automation of one-loop QCD corrections, JHEP 05 (2011) 044 [arXiv:1103.0621] [INSPIRE].
G. Cullen et al., Automated one-loop calculations with GoSam, Eur. Phys. J. C 72 (2012) 1889 [arXiv:1111.2034] [INSPIRE].
G. Cullen et al., GoSam-2.0: a tool for automated one-loop calculations within the Standard Model and beyond, Eur. Phys. J. C 74 (2014) 3001 [arXiv:1404.7096] [INSPIRE].
F. Cascioli, P. Maierhofer and S. Pozzorini, Scattering amplitudes with open loops, Phys. Rev. Lett. 108 (2012) 111601 [arXiv:1111.5206] [INSPIRE].
F. Buccioni et al., OpenLoops 2, Eur. Phys. J. C 79 (2019) 866 [arXiv:1907.13071] [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].
A. Denner, J.-N. Lang and S. Uccirati, Recola2: REcursive Computation of One-Loop Amplitudes 2, Comput. Phys. Commun. 224 (2018) 346 [arXiv:1711.07388] [INSPIRE].
S. Catani, S. Dittmaier, M.H. Seymour and Z. Trócsányi, The dipole formalism for next-to-leading order QCD calculations with massive partons, Nucl. Phys. B 627 (2002) 189 [hep-ph/0201036] [INSPIRE].
S. Frixione, Z. Kunszt and A. Signer, Three jet cross-sections to next-to-leading order, Nucl. Phys. B 467 (1996) 399 [hep-ph/9512328] [INSPIRE].
Z. Nagy and D.E. Soper, Parton showers with quantum interference: leading color, with spin, JHEP 07 (2008) 025 [arXiv:0805.0216] [INSPIRE].
G. Bevilacqua, M. Czakon, M. Kubocz and M. Worek, Complete Nagy-Soper subtraction for next-to-leading order calculations in QCD, JHEP 10 (2013) 204 [arXiv:1308.5605] [INSPIRE].
M.A. Ebert and F.J. Tackmann, Impact of isolation and fiducial cuts on qT and N-jettiness subtractions, JHEP 03 (2020) 158 [arXiv:1911.08486] [INSPIRE].
S. Alekhin, A. Kardos, S. Moch and Z. Trócsányi, Precision studies for Drell-Yan processes at NNLO, Eur. Phys. J. C 81 (2021) 573 [arXiv:2104.02400] [INSPIRE].
P. Nason, A new method for combining NLO QCD with shower Monte Carlo algorithms, JHEP 11 (2004) 040 [hep-ph/0409146] [INSPIRE].
S. Frixione, P. Nason and C. Oleari, Matching NLO QCD computations with parton shower simulations: the POWHEG method, JHEP 11 (2007) 070 [arXiv:0709.2092] [INSPIRE].
S. Frixione and B.R. Webber, Matching NLO QCD computations and parton shower simulations, JHEP 06 (2002) 029 [hep-ph/0204244] [INSPIRE].
A. Kardos, C. Papadopoulos and Z. Trócsányi, Top quark pair production in association with a jet with NLO parton showering, Phys. Lett. B 705 (2011) 76 [arXiv:1101.2672] [INSPIRE].
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 [arXiv:1002.2581] [INSPIRE].
T. Sjöstrand, S. Mrenna and P.Z. Skands, PYTHIA 6.4 physics and manual, JHEP 05 (2006) 026 [hep-ph/0603175] [INSPIRE].
G. Corcella et al., HERWIG 6.5 release note, hep-ph/0210213 [INSPIRE].
S. Alioli, S.-O. Moch and P. Uwer, Hadronic top-quark pair-production with one jet and parton showering, JHEP 01 (2012) 137 [arXiv:1110.5251] [INSPIRE].
J. Alwall 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].
T. Sjöstrand, The PYTHIA event generator: past, present and future, Comput. Phys. Commun. 246 (2020) 106910 [arXiv:1907.09874] [INSPIRE].
J. Bellm et al., HERWIG 7.1 release note, arXiv:1705.06919 [INSPIRE].
J. Bellm et al., HERWIG 7.0/HERWIG++ 3.0 release note, Eur. Phys. J. C 76 (2016) 196 [arXiv:1512.01178] [INSPIRE].
M. Czakon, H.B. Hartanto, M. Kraus and M. Worek, Matching the Nagy-Soper parton shower at next-to-leading order, JHEP 06 (2015) 033 [arXiv:1502.00925] [INSPIRE].
Z. Nagy and D.E. Soper, A parton shower based on factorization of the quantum density matrix, JHEP 06 (2014) 097 [arXiv:1401.6364] [INSPIRE].
Z. Nagy and D.E. Soper, Effects of subleading color in a parton shower, JHEP 07 (2015) 119 [arXiv:1501.00778] [INSPIRE].
C. Gütschow, J.M. Lindert and M. Schönherr, Multi-jet merged top-pair production including electroweak corrections, Eur. Phys. J. C 78 (2018) 317 [arXiv:1803.00950] [INSPIRE].
S. Hoeche, F. Krauss, M. Schonherr and F. Siegert, QCD matrix elements + parton showers: the NLO case, JHEP 04 (2013) 027 [arXiv:1207.5030] [INSPIRE].
Sherpa collaboration, Event generation with Sherpa 2.2, SciPost Phys. 7 (2019) 034 [arXiv:1905.09127] [INSPIRE].
R. Frederix, E. Re and P. Torrielli, Single-top t-channel hadroproduction in the four-flavour scheme with POWHEG and aMC@NLO, JHEP 09 (2012) 130 [arXiv:1207.5391] [INSPIRE].
G. Bevilacqua, M.V. Garzelli and A. Kardos, \( t\overline{t}b\overline{b} \) hadroproduction with massive bottom quarks with PowHel, arXiv:1709.06915 [INSPIRE].
S. Alekhin, J. Blümlein and S. Moch, NLO PDFs from the ABMP16 fit, Eur. Phys. J. C 78 (2018) 477 [arXiv:1803.07537] [INSPIRE].
T.-J. Hou et al., New CTEQ global analysis of quantum chromodynamics with high-precision data from the LHC, Phys. Rev. D 103 (2021) 014013 [arXiv:1912.10053] [INSPIRE].
L.A. Harland-Lang, A.D. Martin, P. Motylinski and R.S. Thorne, Parton distributions in the LHC era: MMHT 2014 PDFs, Eur. Phys. J. C 75 (2015) 204 [arXiv:1412.3989] [INSPIRE].
S. Bailey, T. Cridge, L.A. Harland-Lang, A.D. Martin and R.S. Thorne, Parton distributions from LHC, HERA, Tevatron and fixed target data: MSHT20 PDFs, Eur. Phys. J. C 81 (2021) 341 [arXiv:2012.04684] [INSPIRE].
NNPDF collaboration, Parton distributions from high-precision collider data, Eur. Phys. J. C 77 (2017) 663 [arXiv:1706.00428] [INSPIRE].
A. Buckley et al., LHAPDF6: parton density access in the LHC precision era, Eur. Phys. J. C 75 (2015) 132 [arXiv:1412.7420] [INSPIRE].
M. Cacciari, G.P. Salam and G. Soyez, The anti-kt jet clustering algorithm, JHEP 04 (2008) 063 [arXiv:0802.1189] [INSPIRE].
M. Cacciari, G.P. Salam and G. Soyez, FastJet user manual, Eur. Phys. J. C 72 (2012) 1896 [arXiv:1111.6097] [INSPIRE].
S. Catani, M. Ciafaloni and F. Hautmann, High-energy factorization and small x heavy flavor production, Nucl. Phys. B 366 (1991) 135 [INSPIRE].
R.D. Ball and R.K. Ellis, Heavy quark production at high-energy, JHEP 05 (2001) 053 [hep-ph/0101199] [INSPIRE].
PROSA collaboration, Impact of heavy-flavour production cross sections measured by the LHCb experiment on parton distribution functions at low x, Eur. Phys. J. C 75 (2015) 396 [arXiv:1503.04581] [INSPIRE].
S. Alekhin, J. Blümlein and S. Moch, The ABM parton distributions tuned to LHC data, Phys. Rev. D 89 (2014) 054028 [arXiv:1310.3059] [INSPIRE].
T.-J. Hou et al., Progress in the CTEQ-TEA NNLO global QCD analysis, arXiv:1908.11394 [INSPIRE].
U. Langenfeld, S. Moch and P. Uwer, Measuring the running top-quark mass, Phys. Rev. D 80 (2009) 054009 [arXiv:0906.5273] [INSPIRE].
P. Marquard, A.V. Smirnov, V.A. Smirnov and M. Steinhauser, Quark mass relations to four-loop order in perturbative QCD, Phys. Rev. Lett. 114 (2015) 142002 [arXiv:1502.01030] [INSPIRE].
K.G. Chetyrkin, J.H. Kühn and M. Steinhauser, RunDec: a Mathematica package for running and decoupling of the strong coupling and quark masses, Comput. Phys. Commun. 133 (2000) 43 [hep-ph/0004189] [INSPIRE].
F. Herren and M. Steinhauser, Version 3 of RunDec and CRunDec, Comput. Phys. Commun. 224 (2018) 333 [arXiv:1703.03751] [INSPIRE].
M.V. Garzelli, L. Kemmler, S. Moch and O. Zenaiev, Heavy-flavor hadro-production with heavy-quark masses renormalized in the MS, MSR and on-shell schemes, JHEP 04 (2021) 043 [arXiv:2009.07763] [INSPIRE].
A.H. Hoang, C. Lepenik and V. Mateu, REvolver: automated running and matching of couplings and masses in QCD, Comput. Phys. Commun. 270 (2022) 108145 [arXiv:2102.01085] [INSPIRE].
S. Alioli et al., Complete set of predictions in online repository, https://ttj-phenomenology.web.cern.ch/, (2022).
G. Bevilacqua, H.B. Hartanto, M. Kraus, M. Schulze and M. Worek, Top quark mass studies with \( t\overline{t}j \) at the LHC, JHEP 03 (2018) 169 [arXiv:1710.07515] [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].
S. Dulat et al., New parton distribution functions from a global analysis of quantum chromodynamics, Phys. Rev. D 93 (2016) 033006 [arXiv:1506.07443] [INSPIRE].
M. Jezabek and J.H. Kühn, QCD corrections to semileptonic decays of heavy quarks, Nucl. Phys. B 314 (1989) 1 [INSPIRE].
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Alioli, S., Fuster, J., Garzelli, M.V. et al. Phenomenology of \( t\overline{t}j \) + X production at the LHC. J. High Energ. Phys. 2022, 146 (2022). https://doi.org/10.1007/JHEP05(2022)146
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DOI: https://doi.org/10.1007/JHEP05(2022)146