Abstract
We present calculations of Higgs boson production via gluon-gluon fusion in association with one or two additional jets at next-to-leading order in QCD. The calculation of H+jet is exact in the treatment of the top-quark mass, whereas for the H+2 jets calculation the two-loop virtual amplitudes are approximated via a reweighting with leading-order mass effects, while keeping all top-quark mass effects in the real radiation contributions. For H+jet production, this study extends a previous calculation, revealing an error in the previous results. For total and differential cross sections, we present new results and compare the QCD corrections with the infinite top-mass limit, for which we find a strikingly good agreement if all amplitudes are rescaled by the leading-order mass dependence.
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C. Arnesen, I.Z. Rothstein and J. Zupan, Smoking Guns for On-Shell New Physics at the LHC, Phys. Rev. Lett. 103 (2009) 151801 [arXiv:0809.1429] [INSPIRE].
A. Banfi, A. Martin and V. Sanz, Probing top-partners in Higgs+jets, JHEP 08 (2014) 053 [arXiv:1308.4771] [INSPIRE].
A. Azatov and A. Paul, Probing Higgs couplings with high pT Higgs production, JHEP 01 (2014) 014 [arXiv:1309.5273] [INSPIRE].
C. Grojean, E. Salvioni, M. Schlaffer and A. Weiler, Very boosted Higgs in gluon fusion, JHEP 05 (2014) 022 [arXiv:1312.3317] [INSPIRE].
R.V. Harlander and T. Neumann, Probing the nature of the Higgs-gluon coupling, Phys. Rev. D 88 (2013) 074015 [arXiv:1308.2225] [INSPIRE].
S. Dawson, I.M. Lewis and M. Zeng, Effective field theory for Higgs boson plus jet production, Phys. Rev. D 90 (2014) 093007 [arXiv:1409.6299] [INSPIRE].
U. Langenegger, M. Spira and I. Strebel, Testing the Higgs Boson Coupling to Gluons, arXiv:1507.01373 [INSPIRE].
M. Grazzini, A. Ilnicka, M. Spira and M. Wiesemann, Modeling BSM effects on the Higgs transverse-momentum spectrum in an EFT approach, JHEP 03 (2017) 115 [arXiv:1612.00283] [INSPIRE].
N. Deutschmann, C. Duhr, F. Maltoni and E. Vryonidou, Gluon-fusion Higgs production in the Standard Model Effective Field Theory, JHEP 12 (2017) 063 [Erratum ibid. 02 (2018) 159] [arXiv:1708.00460] [INSPIRE].
M. Battaglia, M. Grazzini, M. Spira and M. Wiesemann, Sensitivity to BSM effects in the Higgs pT spectrum within SMEFT, JHEP 11 (2021) 173 [arXiv:2109.02987] [INSPIRE].
ATLAS collaboration, Prospects for differential cross-section measurements of Higgs boson production measured in decays to ZZ and γγ with the ATLAS experiment at the High-Luminosity LHC, ATL-PHYS-PUB-2018-040 (2018).
CMS collaboration, Sensitivity projections for Higgs boson properties measurements at the HL-LHC, CMS-PAS-FTR-18-011 (2018).
ATLAS collaboration, Study of Higgs-boson production with large transverse momentum using the H → \( b\overline{b} \) decay with the ATLAS detector, ATLAS-CONF-2021-010 (2021).
CMS collaboration, Inclusive search for highly boosted Higgs bosons decaying to bottom quark-antiquark pairs in proton-proton collisions at \( \sqrt{s} \) = 13 TeV, JHEP 12 (2020) 085 [arXiv:2006.13251] [INSPIRE].
K. Becker et al., Precise predictions for boosted Higgs production, arXiv:2005.07762 [INSPIRE].
F. Campanario, T.M. Figy, S. Plätzer, M. Rauch, P. Schichtel and M. Sjödahl, Stress testing the vector-boson-fusion approximation in multijet final states, Phys. Rev. D 98 (2018) 033003 [arXiv:1802.09955] [INSPIRE].
A. Buckley et al., A comparative study of Higgs boson production from vector-boson fusion, JHEP 11 (2021) 108 [arXiv:2105.11399] [INSPIRE].
P. Artoisenet et al., A framework for Higgs characterisation, JHEP 11 (2013) 043 [arXiv:1306.6464] [INSPIRE].
F. Maltoni, K. Mawatari and M. Zaro, Higgs characterisation via vector-boson fusion and associated production: NLO and parton-shower effects, Eur. Phys. J. C 74 (2014) 2710 [arXiv:1311.1829] [INSPIRE].
A. Greljo, G. Isidori, J.M. Lindert and D. Marzocca, Pseudo-observables in electroweak Higgs production, Eur. Phys. J. C 76 (2016) 158 [arXiv:1512.06135] [INSPIRE].
C. Degrande, B. Fuks, K. Mawatari, K. Mimasu and V. Sanz, Electroweak Higgs boson production in the standard model effective field theory beyond leading order in QCD, Eur. Phys. J. C 77 (2017) 262 [arXiv:1609.04833] [INSPIRE].
A. Greljo, G. Isidori, J.M. Lindert, D. Marzocca and H. Zhang, Electroweak Higgs production with HiggsPO at NLO QCD, Eur. Phys. J. C 77 (2017) 838 [arXiv:1710.04143] [INSPIRE].
J.Y. Araz, S. Banerjee, R.S. Gupta and M. Spannowsky, Precision SMEFT bounds from the VBF Higgs at high transverse momentum, JHEP 04 (2021) 125 [arXiv:2011.03555] [INSPIRE].
M. Czakon, R.V. Harlander, J. Klappert and M. Niggetiedt, Exact Top-Quark Mass Dependence in Hadronic Higgs Production, Phys. Rev. Lett. 127 (2021) 162002 [arXiv:2105.04436] [INSPIRE].
S.P. Jones, M. Kerner and G. Luisoni, Next-to-Leading-Order QCD Corrections to Higgs Boson Plus Jet Production with Full Top-Quark Mass Dependence, Phys. Rev. Lett. 120 (2018) 162001 [arXiv:1802.00349] [Erratum ibid. 128 (2022) 059901] [INSPIRE].
J.M. Lindert, K. Kudashkin, K. Melnikov and C. Wever, Higgs bosons with large transverse momentum at the LHC, Phys. Lett. B 782 (2018) 210 [arXiv:1801.08226] [INSPIRE].
T. Neumann, NLO Higgs+jet production at large transverse momenta including top quark mass effects, J. Phys. Comm. 2 (2018) 095017 [arXiv:1802.02981] [INSPIRE].
M. Kerner, Top mass effects in HJ and HH production, PoS RADCOR2019 (2019) 020 [INSPIRE].
V. Del Duca, W. Kilgore, C. Oleari, C. Schmidt and D. Zeppenfeld, Higgs + 2 jets via gluon fusion, Phys. Rev. Lett. 87 (2001) 122001 [hep-ph/0105129] [INSPIRE].
V. Del Duca, W. Kilgore, C. Oleari, C. Schmidt and D. Zeppenfeld, Gluon fusion contributions to H + 2 jet production, Nucl. Phys. B 616 (2001) 367 [hep-ph/0108030] [INSPIRE].
T. Neumann and C. Williams, The Higgs boson at high pT, Phys. Rev. D 95 (2017) 014004 [arXiv:1609.00367] [INSPIRE].
J.R. Andersen, J.D. Cockburn, M. Heil, A. Maier and J.M. Smillie, Finite Quark-Mass Effects in Higgs Boson Production with Dijets at Large Energies, JHEP 04 (2019) 127 [arXiv:1812.08072] [INSPIRE].
L. Budge, J.M. Campbell, G. De Laurentis, R.K. Ellis and S. Seth, The one-loop amplitudes for Higgs + 4 partons with full mass effects, JHEP 05 (2020) 079 [arXiv:2002.04018] [INSPIRE].
R. Frederix, S. Frixione, E. Vryonidou and M. Wiesemann, Heavy-quark mass effects in Higgs plus jets production, JHEP 08 (2016) 006 [arXiv:1604.03017] [INSPIRE].
S. Borowka, G. Heinrich, S.P. Jones, M. Kerner, J. Schlenk and T. Zirke, SecDec-3.0: numerical evaluation of multi-scale integrals beyond one loop, Comput. Phys. Commun. 196 (2015) 470 [arXiv:1502.06595] [INSPIRE].
S. Borowka et al., pySecDec: a toolbox for the numerical evaluation of multi-scale integrals, Comput. Phys. Commun. 222 (2018) 313 [arXiv:1703.09692] [INSPIRE].
K. Kudashkin, K. Melnikov and C. Wever, Two-loop amplitudes for processes gg → Hg, qg → Hq and \( q\overline{q} \) → Hg at large Higgs transverse momentum, JHEP 02 (2018) 135 [arXiv:1712.06549] [INSPIRE].
F. Wilczek, Decays of Heavy Vector Mesons Into Higgs Particles, Phys. Rev. Lett. 39 (1977) 1304 [INSPIRE].
C. Anastasiou, C. Duhr, F. Dulat, F. Herzog and B. Mistlberger, Higgs Boson Gluon-Fusion Production in QCD at Three Loops, Phys. Rev. Lett. 114 (2015) 212001 [arXiv:1503.06056] [INSPIRE].
F. Dulat, B. Mistlberger and A. Pelloni, Differential Higgs production at N3LO beyond threshold, JHEP 01 (2018) 145 [arXiv:1710.03016] [INSPIRE].
L. Cieri, X. Chen, T. Gehrmann, E.W.N. Glover and A. Huss, Higgs boson production at the LHC using the qT subtraction formalism at N3LO QCD, JHEP 02 (2019) 096 [arXiv:1807.11501] [INSPIRE].
B. Mistlberger, Higgs boson production at hadron colliders at N3LO in QCD, JHEP 05 (2018) 028 [arXiv:1802.00833] [INSPIRE].
X. Chen, T. Gehrmann, E.W.N. Glover, A. Huss, B. Mistlberger and A. Pelloni, Fully Differential Higgs Boson Production to Third Order in QCD, Phys. Rev. Lett. 127 (2021) 072002 [arXiv:2102.07607] [INSPIRE].
G. Billis, B. Dehnadi, M.A. Ebert, J.K.L. Michel and F.J. Tackmann, Higgs pT Spectrum and Total Cross Section with Fiducial Cuts at Third Resummed and Fixed Order in QCD, Phys. Rev. Lett. 127 (2021) 072001 [arXiv:2102.08039] [INSPIRE].
R. Boughezal, F. Caola, K. Melnikov, F. Petriello and M. Schulze, Higgs boson production in association with a jet at next-to-next-to-leading order in perturbative QCD, JHEP 06 (2013) 072 [arXiv:1302.6216] [INSPIRE].
X. Chen, T. Gehrmann, E.W.N. Glover and M. Jaquier, Precise QCD predictions for the production of Higgs + jet final states, Phys. Lett. B 740 (2015) 147 [arXiv:1408.5325] [INSPIRE].
R. Boughezal, F. Caola, K. Melnikov, F. Petriello and M. Schulze, Higgs boson production in association with a jet at next-to-next-to-leading order, Phys. Rev. Lett. 115 (2015) 082003 [arXiv:1504.07922] [INSPIRE].
R. Boughezal, C. Focke, W. Giele, X. Liu and F. Petriello, Higgs boson production in association with a jet at NNLO using jettiness subtraction, Phys. Lett. B 748 (2015) 5 [arXiv:1505.03893] [INSPIRE].
X. Chen, J. Cruz-Martinez, T. Gehrmann, E.W.N. Glover and M. Jaquier, NNLO QCD corrections to Higgs boson production at large transverse momentum, JHEP 10 (2016) 066 [arXiv:1607.08817] [INSPIRE].
J.M. Campbell, R.K. Ellis and G. Zanderighi, Next-to-Leading order Higgs + 2 jet production via gluon fusion, JHEP 10 (2006) 028 [hep-ph/0608194] [INSPIRE].
H. van Deurzen et al., NLO QCD corrections to the production of Higgs plus two jets at the LHC, Phys. Lett. B 721 (2013) 74 [arXiv:1301.0493] [INSPIRE].
G. Cullen et al., Next-to-Leading-Order QCD Corrections to Higgs Boson Production Plus Three Jets in Gluon Fusion, Phys. Rev. Lett. 111 (2013) 131801 [arXiv:1307.4737] [INSPIRE].
G. Bozzi, S. Catani, D. de Florian and M. Grazzini, Transverse-momentum resummation and the spectrum of the Higgs boson at the LHC, Nucl. Phys. B 737 (2006) 73 [hep-ph/0508068] [INSPIRE].
D. de Florian, G. Ferrera, M. Grazzini and D. Tommasini, Transverse-momentum resummation: Higgs boson production at the Tevatron and the LHC, JHEP 11 (2011) 064 [arXiv:1109.2109] [INSPIRE].
T. Becher, M. Neubert and D. Wilhelm, Higgs-Boson Production at Small Transverse Momentum, JHEP 05 (2013) 110 [arXiv:1212.2621] [INSPIRE].
W. Bizon, P.F. Monni, E. Re, L. Rottoli and P. Torrielli, Momentum-space resummation for transverse observables and the Higgs p⊥ at N3LL + NNLO, JHEP 02 (2018) 108 [arXiv:1705.09127] [INSPIRE].
X. Chen et al., Precise QCD Description of the Higgs Boson Transverse Momentum Spectrum, Phys. Lett. B 788 (2019) 425 [arXiv:1805.00736] [INSPIRE].
W. Bizoń et al., Fiducial distributions in Higgs and Drell-Yan production at N3LL + NNLO, JHEP 12 (2018) 132 [arXiv:1805.05916] [INSPIRE].
E. Re, L. Rottoli and P. Torrielli, Fiducial Higgs and Drell-Yan distributions at N3LL′ + NNLO with RadISH, arXiv:2104.07509 [INSPIRE].
H. Mantler and M. Wiesemann, Top- and bottom-mass effects in hadronic Higgs production at small transverse momenta through LO + NLL, Eur. Phys. J. C 73 (2013) 2467 [arXiv:1210.8263] [INSPIRE].
M. Grazzini and H. Sargsyan, Heavy-quark mass effects in Higgs boson production at the LHC, JHEP 09 (2013) 129 [arXiv:1306.4581] [INSPIRE].
A. Banfi, P.F. Monni and G. Zanderighi, Quark masses in Higgs production with a jet veto, JHEP 01 (2014) 097 [arXiv:1308.4634] [INSPIRE].
K. Melnikov, L. Tancredi and C. Wever, Two-loop gg → Hg amplitude mediated by a nearly massless quark, JHEP 11 (2016) 104 [arXiv:1610.03747] [INSPIRE].
J.M. Lindert, K. Melnikov, L. Tancredi and C. Wever, Top-bottom interference effects in Higgs plus jet production at the LHC, Phys. Rev. Lett. 118 (2017) 252002 [arXiv:1703.03886] [INSPIRE].
K. Melnikov, L. Tancredi and C. Wever, Two-loop amplitudes for qg → Hq and \( q\overline{q} \) → Hg mediated by a nearly massless quark, Phys. Rev. D 95 (2017) 054012 [arXiv:1702.00426] [INSPIRE].
F. Caola, J.M. Lindert, K. Melnikov, P.F. Monni, L. Tancredi and C. Wever, Bottom-quark effects in Higgs production at intermediate transverse momentum, JHEP 09 (2018) 035 [arXiv:1804.07632] [INSPIRE].
F. Caola, S. Forte, S. Marzani, C. Muselli and G. Vita, The Higgs transverse momentum spectrum with finite quark masses beyond leading order, JHEP 08 (2016) 150 [arXiv:1606.04100] [INSPIRE].
R.V. Harlander, T. Neumann, K.J. Ozeren and M. Wiesemann, Top-mass effects in differential Higgs production through gluon fusion at order \( \mathcal{O} \)(\( {\alpha}_s^4 \)), JHEP 08 (2012) 139 [arXiv:1206.0157] [INSPIRE].
T. Neumann and M. Wiesemann, Finite top-mass effects in gluon-induced Higgs production with a jet-veto at NNLO, JHEP 11 (2014) 150 [arXiv:1408.6836] [INSPIRE].
J.M. Campbell, R.K. Ellis, R. Frederix, P. Nason, C. Oleari and C. Williams, NLO Higgs Boson Production Plus One and Two Jets Using the POWHEG BOX, MadGraph4 and MCFM, JHEP 07 (2012) 092 [arXiv:1202.5475] [INSPIRE].
K. Hamilton, P. Nason, C. Oleari and G. Zanderighi, Merging H/W/Z + 0 and 1 jet at NLO with no merging scale: a path to parton shower + NNLO matching, JHEP 05 (2013) 082 [arXiv:1212.4504] [INSPIRE].
M. Buschmann, D. Goncalves, S. Kuttimalai, M. Schonherr, F. Krauss and T. Plehn, Mass Effects in the Higgs-Gluon Coupling: Boosted vs Off-Shell Production, JHEP 02 (2015) 038 [arXiv:1410.5806] [INSPIRE].
N. Greiner, S. Höche, G. Luisoni, M. Schönherr and J.-C. Winter, Full mass dependence in Higgs boson production in association with jets at the LHC and FCC, JHEP 01 (2017) 091 [arXiv:1608.01195] [INSPIRE].
F. Maltoni, E. Vryonidou and M. Zaro, Top-quark mass effects in double and triple Higgs production in gluon-gluon fusion at NLO, JHEP 11 (2014) 079 [arXiv:1408.6542] [INSPIRE].
A. Gehrmann-De Ridder, T. Gehrmann and E.W.N. Glover, Antenna subtraction at NNLO, JHEP 09 (2005) 056 [hep-ph/0505111] [INSPIRE].
A. Gehrmann-De Ridder, T. Gehrmann and E.W.N. Glover, Gluon-gluon antenna functions from Higgs boson decay, Phys. Lett. B 612 (2005) 49 [hep-ph/0502110] [INSPIRE].
A. Daleo, T. Gehrmann and D. Maître, Antenna subtraction with hadronic initial states, JHEP 04 (2007) 016 [hep-ph/0612257] [INSPIRE].
A. Daleo, A. Gehrmann-De Ridder, T. Gehrmann and G. Luisoni, Antenna subtraction at NNLO with hadronic initial states: initial-final configurations, JHEP 01 (2010) 118 [arXiv:0912.0374] [INSPIRE].
E.W. Nigel Glover and J. Pires, Antenna subtraction for gluon scattering at NNLO, JHEP 06 (2010) 096 [arXiv:1003.2824] [INSPIRE].
A. Gehrmann-De Ridder, E.W.N. Glover and J. Pires, Real-Virtual corrections for gluon scattering at NNLO, JHEP 02 (2012) 141 [arXiv:1112.3613] [INSPIRE].
A. Gehrmann-De Ridder, T. Gehrmann and M. Ritzmann, Antenna subtraction at NNLO with hadronic initial states: double real initial-initial configurations, JHEP 10 (2012) 047 [arXiv:1207.5779] [INSPIRE].
A. Gehrmann-De Ridder, T. Gehrmann, E.W.N. Glover and J. Pires, Double Virtual corrections for gluon scattering at NNLO, JHEP 02 (2013) 026 [arXiv:1211.2710] [INSPIRE].
J. Currie, E.W.N. Glover and S. Wells, Infrared Structure at NNLO Using Antenna Subtraction, JHEP 04 (2013) 066 [arXiv:1301.4693] [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, S. Pozzorini and M. Zoller, On-the-fly reduction of open loops, Eur. Phys. J. C 78 (2018) 70 [arXiv:1710.11452] [INSPIRE].
F. Buccioni et al., OpenLoops 2, Eur. Phys. J. C 79 (2019) 866 [arXiv:1907.13071] [INSPIRE].
J.-N. Lang et al, OTTER: On-The-fly Tensor Reduction, in preparation.
R. Frederix et al., Higgs pair production at the LHC with NLO and parton-shower effects, Phys. Lett. B 732 (2014) 142 [arXiv:1401.7340] [INSPIRE].
S. Catani, The Singular behavior of QCD amplitudes at two loop order, Phys. Lett. B 427 (1998) 161 [hep-ph/9802439] [INSPIRE].
M. Grazzini et al., Higgs boson pair production at NNLO with top quark mass effects, JHEP 05 (2018) 059 [arXiv:1803.02463] [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].
A. van Hameren, OneLOop: For the evaluation of one-loop scalar functions, Comput. Phys. Commun. 182 (2011) 2427 [arXiv:1007.4716] [INSPIRE].
A. von Manteuffel and C. Studerus, Reduze 2 — Distributed Feynman Integral Reduction, arXiv:1201.4330 [INSPIRE].
Z. Li, J. Wang, Q.-S. Yan and X. Zhao, Efficient numerical evaluation of Feynman integrals, Chin. Phys. C 40 (2016) 033103 [arXiv:1508.02512] [INSPIRE].
S. Borowka, G. Heinrich, S. Jahn, S.P. Jones, M. Kerner and J. Schlenk, A GPU compatible quasi-Monte Carlo integrator interfaced to pySecDec, Comput. Phys. Commun. 240 (2019) 120 [arXiv:1811.11720] [INSPIRE].
J. Baglio, F. Campanario, S. Glaus, M. Mühlleitner, M. Spira and J. Streicher, Gluon fusion into Higgs pairs at NLO QCD and the top mass scheme, Eur. Phys. J. C 79 (2019) 459 [arXiv:1811.05692] [INSPIRE].
J. Baglio et al., Higgs-Pair Production via Gluon Fusion at Hadron Colliders: NLO QCD Corrections, JHEP 04 (2020) 181 [arXiv:2003.03227] [INSPIRE].
J. Baglio, F. Campanario, S. Glaus, M. Mühlleitner, J. Ronca and M. Spira, gg → HH: Combined uncertainties, Phys. Rev. D 103 (2021) 056002 [arXiv:2008.11626] [INSPIRE].
S. Amoroso et al., Les Houches 2019: Physics at TeV Colliders: Standard Model Working Group Report, in 11th Les Houches Workshop on Physics at TeV Colliders: PhysTeV Les Houches, (2020) [arXiv:2003.01700] [INSPIRE].
J. Butterworth et al., PDF4LHC recommendations for LHC Run II, J. Phys. G 43 (2016) 023001 [arXiv:1510.03865] [INSPIRE].
M. Cacciari, G.P. Salam and G. Soyez, The anti-kt jet clustering algorithm, JHEP 04 (2008) 063 [arXiv:0802.1189] [INSPIRE].
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Chen, X., Huss, A., Jones, S.P. et al. Top-quark mass effects in H+jet and H+2 jets production. J. High Energ. Phys. 2022, 96 (2022). https://doi.org/10.1007/JHEP03(2022)096
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DOI: https://doi.org/10.1007/JHEP03(2022)096