Abstract
We present precise predictions for the hadronic production of an on-shell Higgs boson in association with a leptonically decaying gauge boson and a jet up to order \( {\alpha}_{\mathrm{s}}^3 \). We include the complete set of NNLO QCD corrections to both charged- and neutral-current Drell-Yan type contributions, as well as the previously known leading heavy quark loop induced contributions which involve a direct Higgs-quark coupling. As an application, we study a range of differential observables in proton-proton collisions at \( \sqrt{s} \) = 13 TeV for both the charged- and neutral-current production modes. For each Higgs production process, we assess the improvement in the theoretical uncertainty for both the exclusive (njet = 1) and inclusive (njet ≥ 1) jet categories. We find that the inclusion of the NNLO corrections to the Drell-Yan type contributions is essential in stabilising the predictions and in reducing the theoretical uncertainty for both inclusive and exclusive jet production for all three modes. This is particularly true in the kinematical regimes associated with low to medium values of the transverse momentum of the produced vector boson and where the differential cross sections are the largest. For the neutral-current process, we find that the heavy quark loop induced contributions have their largest phenomenological impact (an increase in the size of the NNLO corrections, a distortion of the distribution shape and an enlargement of the left over remaining uncertainties) in kinematical regions associated to large values of pT,Z (typically above 150 GeV) where the cross sections are smaller.
Article PDF
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.Avoid common mistakes on your manuscript.
References
ATLAS collaboration, Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC, Phys. Lett. B 716 (2012) 1 [arXiv:1207.7214] [INSPIRE].
CMS collaboration, Observation of a New Boson at a Mass of 125 GeV with the CMS Experiment at the LHC, Phys. Lett. B 716 (2012) 30 [arXiv:1207.7235] [INSPIRE].
ATLAS collaboration, Observation of H → \( b\overline{b} \) decays and VH production with the ATLAS detector, Phys. Lett. B 786 (2018) 59 [arXiv:1808.08238] [INSPIRE].
CMS collaboration, Observation of Higgs boson decay to bottom quarks, Phys. Rev. Lett. 121 (2018) 121801 [arXiv:1808.08242] [INSPIRE].
ATLAS collaboration, Measurement of VH, H → \( \mathrm{b}\overline{\mathrm{b}} \) production as a function of the vector-boson transverse momentum in 13 TeV pp collisions with the ATLAS detector, JHEP 05 (2019) 141 [arXiv:1903.04618] [INSPIRE].
ATLAS collaboration, Measurements of WH and ZH production in the H → \( b\overline{b} \) decay channel in pp collisions at 13 TeV with the ATLAS detector, Eur. Phys. J. C 81 (2021) 178 [arXiv:2007.02873] [INSPIRE].
ATLAS collaboration, Measurement of the associated production of a Higgs boson decaying into b-quarks with a vector boson at high transverse momentum in pp collisions at \( \sqrt{s} \) = 13 TeV with the ATLAS detector, Phys. Lett. B 816 (2021) 136204 [arXiv:2008.02508] [INSPIRE].
O. Brein, A. Djouadi and R. Harlander, NNLO QCD corrections to the Higgs-strahlung processes at hadron colliders, Phys. Lett. B 579 (2004) 149 [hep-ph/0307206] [INSPIRE].
O. Brein, R.V. Harlander and T.J.E. Zirke, vh@nnlo — Higgs Strahlung at hadron colliders, Comput. Phys. Commun. 184 (2013) 998 [arXiv:1210.5347] [INSPIRE].
G. Ferrera, M. Grazzini and F. Tramontano, Associated WH production at hadron colliders: a fully exclusive QCD calculation at NNLO, Phys. Rev. Lett. 107 (2011) 152003 [arXiv:1107.1164] [INSPIRE].
G. Ferrera, M. Grazzini and F. Tramontano, Higher-order QCD effects for associated WH production and decay at the LHC, JHEP 04 (2014) 039 [arXiv:1312.1669] [INSPIRE].
G. Ferrera, M. Grazzini and F. Tramontano, Associated ZH production at hadron colliders: the fully differential NNLO QCD calculation, Phys. Lett. B 740 (2015) 51 [arXiv:1407.4747] [INSPIRE].
J.M. Campbell, R.K. Ellis and C. Williams, Associated production of a Higgs boson at NNLO, JHEP 06 (2016) 179 [arXiv:1601.00658] [INSPIRE].
G. Ferrera, G. Somogyi and F. Tramontano, Associated production of a Higgs boson decaying into bottom quarks at the LHC in full NNLO QCD, Phys. Lett. B 780 (2018) 346 [arXiv:1705.10304] [INSPIRE].
F. Caola, G. Luisoni, K. Melnikov and R. Röntsch, NNLO QCD corrections to associated WH production and H → \( b\overline{b} \) decay, Phys. Rev. D 97 (2018) 074022 [arXiv:1712.06954] [INSPIRE].
R. Gauld, A. Gehrmann-De Ridder, E.W.N. Glover, A. Huss and I. Majer, Associated production of a Higgs boson decaying into bottom quarks and a weak vector boson decaying leptonically at NNLO in QCD, JHEP 10 (2019) 002 [arXiv:1907.05836] [INSPIRE].
A. Banfi, G.P. Salam and G. Zanderighi, Infrared safe definition of jet flavor, Eur. Phys. J. C 47 (2006) 113 [hep-ph/0601139] [INSPIRE].
A. Behring, W. Bizoń, F. Caola, K. Melnikov and R. Röntsch, Bottom quark mass effects in associated WH production with the H → \( b\overline{b} \) decay through NNLO QCD, Phys. Rev. D 101 (2020) 114012 [arXiv:2003.08321] [INSPIRE].
W. Bizoń, F. Caola, K. Melnikov and R. Röntsch, Anomalous couplings in associated VH production with Higgs boson decay to massive b quarks at NNLO in QCD, Phys. Rev. D 105 (2022) 014023 [arXiv:2106.06328] [INSPIRE].
W. Astill, W. Bizon, E. Re and G. Zanderighi, NNLOPS accurate associated HW production, JHEP 06 (2016) 154 [arXiv:1603.01620] [INSPIRE].
S. Alioli, A. Broggio, S. Kallweit, M.A. Lim and L. Rottoli, Higgsstrahlung at NNLL’+NNLO matched to parton showers in GENEVA, Phys. Rev. D 100 (2019) 096016 [arXiv:1909.02026] [INSPIRE].
W. Astill, W. Bizoń, E. Re and G. Zanderighi, NNLOPS accurate associated HZ production with H → \( b\overline{b} \) decay at NLO, JHEP 11 (2018) 157 [arXiv:1804.08141] [INSPIRE].
O. Brein, R. Harlander, M. Wiesemann and T. Zirke, Top-Quark Mediated Effects in Hadronic Higgs-Strahlung, Eur. Phys. J. C 72 (2012) 1868 [arXiv:1111.0761] [INSPIRE].
L. Altenkamp, S. Dittmaier, R.V. Harlander, H. Rzehak and T.J.E. Zirke, Gluon-induced Higgs-strahlung at next-to-leading order QCD, JHEP 02 (2013) 078 [arXiv:1211.5015] [INSPIRE].
B. Hespel, F. Maltoni and E. Vryonidou, Higgs and Z boson associated production via gluon fusion in the SM and the 2HDM, JHEP 06 (2015) 065 [arXiv:1503.01656] [INSPIRE].
D. Goncalves, F. Krauss, S. Kuttimalai and P. Maierhöfer, Higgs-Strahlung: Merging the NLO Drell-Yan and Loop-Induced 0+1 jet Multiplicities, Phys. Rev. D 92 (2015) 073006 [arXiv:1509.01597] [INSPIRE].
G. Wang, X. Xu, Y. Xu and L.L. Yang, Next-to-leading order corrections for gg → ZH with top quark mass dependence, arXiv:2107.08206 [INSPIRE].
G. Luisoni, P. Nason, C. Oleari and F. Tramontano, HW±/HZ + 0 and 1 jet at NLO with the POWHEG BOX interfaced to GoSam and their merging within MiNLO, JHEP 10 (2013) 083 [arXiv:1306.2542] [INSPIRE].
F. Granata, J.M. Lindert, C. Oleari and S. Pozzorini, NLO QCD+EW predictions for HV and HV +jet production including parton-shower effects, JHEP 09 (2017) 012 [arXiv:1706.03522] [INSPIRE].
R. Gauld, A. Gehrmann-De Ridder, E.W.N. Glover, A. Huss and I. Majer, Precise predictions for WH+jet production at the LHC, Phys. Lett. B 817 (2021) 136335 [arXiv:2009.14209] [INSPIRE].
ATLAS collaboration, Measurements of WH and ZH production in the H → \( b\overline{b} \) decay channel in pp collisions at 13 TeV with the ATLAS detector, Eur. Phys. J. C 81 (2021) 178 [arXiv:2007.02873] [INSPIRE].
A. Gehrmann-De Ridder, T. Gehrmann, E.W.N. Glover, A. Huss and T.A. Morgan, Precise QCD predictions for the production of a Z boson in association with a hadronic jet, Phys. Rev. Lett. 117 (2016) 022001 [arXiv:1507.02850] [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. Gehrmann-De Ridder, T. Gehrmann and E.W.N. Glover, Quark-gluon antenna functions from neutralino decay, Phys. Lett. B 612 (2005) 36 [hep-ph/0501291] [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].
R. Boughezal, A. Gehrmann-De Ridder and M. Ritzmann, Antenna subtraction at NNLO with hadronic initial states: double real radiation for initial-initial configurations with two quark flavours, JHEP 02 (2011) 098 [arXiv:1011.6631] [INSPIRE].
T. Gehrmann and P.F. Monni, Antenna subtraction at NNLO with hadronic initial states: real-virtual initial-initial configurations, JHEP 12 (2011) 049 [arXiv:1107.4037] [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].
J. Currie, E.W.N. Glover and S. Wells, Infrared Structure at NNLO Using Antenna Subtraction, JHEP 04 (2013) 066 [arXiv:1301.4693] [INSPIRE].
A. Gehrmann-De Ridder, T. Gehrmann, E.W.N. Glover, A. Huss and D.M. Walker, Vector Boson Production in Association with a Jet at Forward Rapidities, Eur. Phys. J. C 79 (2019) 526 [arXiv:1901.11041] [INSPIRE].
F. Buccioni et al., OpenLoops 2, Eur. Phys. J. C 79 (2019) 866 [arXiv:1907.13071] [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. Cascioli, P. Maierhofer and S. Pozzorini, Scattering Amplitudes with Open Loops, Phys. Rev. Lett. 108 (2012) 111601 [arXiv:1111.5206] [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].
I.W. Stewart and F.J. Tackmann, Theory Uncertainties for Higgs and Other Searches Using Jet Bins, Phys. Rev. D 85 (2012) 034011 [arXiv:1107.2117] [INSPIRE].
LHC Higgs Cross Section Working Group collaboration, Handbook of LHC Higgs Cross Sections: 4. Deciphering the Nature of the Higgs Sector, arXiv:1610.07922 [INSPIRE].
J.R. Andersen et al., Les Houches 2015: Physics at TeV Colliders Standard Model Working Group Report, in 9th Les Houches Workshop on Physics at TeV Colliders, Les Houches France (2016) [arXiv:1605.04692] [INSPIRE].
J. Mazzitelli, P.F. Monni, P. Nason, E. Re, M. Wiesemann and G. Zanderighi, Next-to-Next-to-Leading Order Event Generation for Top-Quark Pair Production, Phys. Rev. Lett. 127 (2021) 062001 [arXiv:2012.14267] [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: 2110.12992
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
Gauld, R., Gehrmann-De Ridder, A., Glover, E.W.N. et al. VH + jet production in hadron-hadron collisions up to order \( {\alpha}_{\mathrm{s}}^3 \) in perturbative QCD. J. High Energ. Phys. 2022, 8 (2022). https://doi.org/10.1007/JHEP03(2022)008
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP03(2022)008