Abstract
We present all-order predictions for Higgs boson production plus at least one jet which are accurate to leading logarithm in \( \hat{s}/{\left|{p}_{\perp}\right|}^2 \). Our calculation includes full top and bottom quark mass dependence at all orders in the logarithmic part, and to highest available order in the tree-level matching. The calculation is implemented in the framework of High Energy Jets (HEJ). This is the first cross section calculated with log(\( \hat{s} \)) resummation and matched to fixed order for a process requiring just one jet, and our results also extend the region of resummation for processes with two jets or more. This is possible because the resummation is performed explicitly in phase space. We compare the results of our new calculation to LHC data and to next-to-leading order predictions and find a numerically significant impact of the logarithmic corrections in the shape of key distributions, which remains after normalisation of the cross section.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
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 [Erratum ibid. 128 (2022) 059901] [arXiv:1802.00349] [INSPIRE].
X. Chen et al., Top-quark mass effects in H+jet and H+2 jets production, JHEP 03 (2022) 096 [arXiv:2110.06953] [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].
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].
B. Mistlberger, Higgs boson production at hadron colliders at N3LO in QCD, JHEP 05 (2018) 028 [arXiv:1802.00833] [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].
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].
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].
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].
J.M. Campbell, R.K. Ellis and C. Williams, Hadronic production of a Higgs boson and two jets at next-to-leading order, Phys. Rev. D 81 (2010) 074023 [arXiv:1001.4495] [INSPIRE].
V. Del Duca, W. Kilgore, C. Oleari, C.R. Schmidt and D. Zeppenfeld, Kinematical limits on Higgs boson production via gluon fusion in association with jets, Phys. Rev. D 67 (2003) 073003 [hep-ph/0301013] [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].
A.H. Mueller and H. Navelet, An inclusive minijet cross-section and the bare pomeron in QCD, Nucl. Phys. B 282 (1987) 727 [INSPIRE].
B.-W. Xiao and F. Yuan, BFKL and Sudakov resummation in Higgs boson plus jet production with large rapidity separation, Phys. Lett. B 782 (2018) 28 [arXiv:1801.05478] [INSPIRE].
F.G. Celiberto, D.Y. Ivanov, M.M.A. Mohammed and A. Papa, High-energy resummed distributions for the inclusive Higgs-plus-jet production at the LHC, Eur. Phys. J. C 81 (2021) 293 [arXiv:2008.00501] [INSPIRE].
J.R. Andersen and J.M. Smillie, Constructing all-order corrections to multi-jet rates, JHEP 01 (2010) 039 [arXiv:0908.2786] [INSPIRE].
J.R. Andersen and J.M. Smillie, The factorisation of the t-channel pole in quark-gluon scattering, Phys. Rev. D 81 (2010) 114021 [arXiv:0910.5113] [INSPIRE].
J.R. Andersen and J.M. Smillie, Multiple jets at the LHC with high energy jets, JHEP 06 (2011) 010 [arXiv:1101.5394] [INSPIRE].
J.R. Andersen, T. Hapola, M. Heil, A. Maier and J.M. Smillie, Higgs-boson plus dijets: higher-order matching for high-energy predictions, JHEP 08 (2018) 090 [arXiv:1805.04446] [INSPIRE].
V.S. Fadin, R. Fiore, M.G. Kozlov and A.V. Reznichenko, Proof of the multi-Regge form of QCD amplitudes with gluon exchanges in the NLA, Phys. Lett. B 639 (2006) 74 [hep-ph/0602006] [INSPIRE].
J.R. Andersen, T. Hapola, A. Maier and J.M. Smillie, Higgs boson plus dijets: higher order corrections, JHEP 09 (2017) 065 [arXiv:1706.01002] [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].
S. Dawson and R.P. Kauffman, Higgs boson plus multi-jet rates at the SSC, Phys. Rev. Lett. 68 (1992) 2273 [INSPIRE].
R.P. Kauffman, S.V. Desai and D. Risal, Production of a Higgs boson plus two jets in hadronic collisions, Phys. Rev. D 55 (1997) 4005 [Erratum ibid. 58 (1998) 119901] [hep-ph/9610541] [INSPIRE].
C. Bierlich et al., Robust independent validation of experiment and theory: Rivet version 3, SciPost Phys. 8 (2020) 026 [arXiv:1912.05451] [INSPIRE].
CMS collaboration, Measurement of inclusive and differential Higgs boson production cross sections in the diphoton decay channel in proton-proton collisions at \( \sqrt{s} \) = 13 TeV, JHEP 01 (2019) 183 [arXiv:1807.03825] [INSPIRE].
CMS collaboration, Measurement of the Higgs boson inclusive and differential fiducial production cross sections in the diphoton decay channel with pp collisions at \( \sqrt{s} \) = 13 TeV, Tech. Rep. CMS-HIG-19-016, CERN, Geneva, Switzerland (2022) [arXiv:2208.12279] [INSPIRE].
ATLAS collaboration, Measurements of fiducial and differential cross sections for Higgs boson production in the diphoton decay channel at \( \sqrt{s} \) = 8 TeV with ATLAS, JHEP 09 (2014) 112 [arXiv:1407.4222] [INSPIRE].
Sherpa collaboration, Event generation with Sherpa 2.2, SciPost Phys. 7 (2019) 034 [arXiv:1905.09127] [INSPIRE].
T. Gleisberg and S. Höche, Comix, a new matrix element generator, JHEP 12 (2008) 039 [arXiv:0808.3674] [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].
NNPDF collaboration, Parton distributions for the LHC run II, JHEP 04 (2015) 040 [arXiv:1410.8849] [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].
J.R. Andersen, J.A. Black, H.M. Brooks, E.P. Byrne, A. Maier and J.M. Smillie, Combined subleading high-energy logarithms and NLO accuracy for W production in association with multiple jets, JHEP 04 (2021) 105 [arXiv:2012.10310] [INSPIRE].
GridPP collaboration, GridPP: development of the U.K. computing grid for particle physics, J. Phys. G 32 (2006) N1 [INSPIRE].
D. Britton et al., GridPP: the U.K. grid for particle physics, Phil. Trans. Roy. Soc. Lond. A 367 (2009) 2447 [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 2210.10671
Rights and permissions
Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Andersen, J.R., Hassan, H., Maier, A. et al. High energy resummed predictions for the production of a Higgs boson with at least one jet. J. High Energ. Phys. 2023, 1 (2023). https://doi.org/10.1007/JHEP03(2023)001
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP03(2023)001