Abstract
The production of a Higgs boson in association with at least two jets receives contributions both from the fusion of weak vector bosons (VBF) and from QCD processes, especially gluon fusion (GF). The former process is important for measuring the coupling of the Higgs boson to weak bosons, whereas the latter process plays an important role in determining any CP-admixtures in the Higgs sector. In this paper we go beyond the current state-of-the-art for fixed order calculations of the GF process (i.e. one loop H + 2j including full quark mass effects) by including the all-order effects in leading log(ŝ/p 2 t ), together with full quark mass and loop-propagator kinematic effects. We calculate the mass-dependent components and implement the resummation within the framework of High Energy Jets.
The high-energy effects suppress the prediction compared to fixed order at large Δy12 and mjj (and therefore within the usual VBF cuts of widely separated jets), just as found in the limit of mt → ∞. The mass dependence is more significant than at fixed order, because the systematic inclusion of the leading logarithms in ŝ/p 2 t results in a hardening of the transverse momentum of the Higgs boson, which in turn probes in more detail the loop-structure of the coupling. In particular, the full mass dependence reduces the cross section within VBF cuts by 11% compared to a calculation based just on the infinite top mass limit, but the impact of the bottom quark remains small. This all implies that the gluon-fusion contribution within VBF-cuts is less severe than current estimates suggest.
Article PDF
Similar content being viewed by others
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].
C. Anastasiou et al., Higgs boson gluon-fusion production at threshold in N 3 LO QCD, Phys. Lett. B 737 (2014) 325 [arXiv:1403.4616] [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].
C. Anastasiou et al., High precision determination of the gluon fusion Higgs boson cross-section at the LHC, JHEP 05 (2016) 058 [arXiv:1602.00695] [INSPIRE].
L. Cieri, X. Chen, T. Gehrmann, E.W.N. Glover and A. Huss, Higgs boson production at the LHC using the q T subtraction formalism at N 3 LO QCD, JHEP 02 (2019) 096 [arXiv:1807.11501] [INSPIRE].
R.V. Harlander and K.J. Özeren, Finite top mass effects for hadronic Higgs production at next-to-next-to-leading order, JHEP 11 (2009) 088 [arXiv:0909.3420] [INSPIRE].
R.V. Harlander, H. Mantler, S. Marzani and K.J. Özeren, Higgs production in gluon fusion at next-to-next-to-leading order QCD for finite top mass, Eur. Phys. J. C 66 (2010) 359 [arXiv:0912.2104] [INSPIRE].
R.V. Harlander, T. Neumann, K.J. Özeren and M. Wiesemann, Top-mass effects in differential Higgs production through gluon fusion at order α 4 s , JHEP 08 (2012) 139 [arXiv:1206.0157] [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] [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].
G. Klämke and D. Zeppenfeld, Higgs plus two jet production via gluon fusion as a signal at the CERN LHC, JHEP 04 (2007) 052 [hep-ph/0703202] [INSPIRE].
J.R. Andersen, K. Arnold and D. Zeppenfeld, Azimuthal Angle Correlations for Higgs Boson plus Multi-Jet Events, JHEP 06 (2010) 091 [arXiv:1001.3822] [INSPIRE].
J.R. Andersen, T. Binoth, G. Heinrich and J.M. Smillie, Loop induced interference effects in Higgs Boson plus two jet production at the LHC, JHEP 02 (2008) 057 [arXiv:0709.3513] [INSPIRE].
A. Bredenstein, K. Hagiwara and B. Jäger, Mixed QCD-electroweak contributions to Higgs-plus-dijet production at the LHC, Phys. Rev. D 77 (2008) 073004 [arXiv:0801.4231] [INSPIRE].
L.J. Dixon and Y. Sofianatos, Analytic one-loop amplitudes for a Higgs boson plus four partons, JHEP 08 (2009) 058 [arXiv:0906.0008] [INSPIRE].
M. Cacciari, F.A. Dreyer, A. Karlberg, G.P. Salam and G. Zanderighi, Fully Differential Vector-Boson-Fusion Higgs Production at Next-to-Next-to-Leading Order, Phys. Rev. Lett. 115 (2015) 082002 [Erratum ibid. 120 (2018) 139901] [arXiv:1506.02660] [INSPIRE].
J. Cruz-Martinez, T. Gehrmann, E.W.N. Glover and A. Huss, Second-order QCD effects in Higgs boson production through vector boson fusion, Phys. Lett. B 781 (2018) 672 [arXiv:1802.02445] [INSPIRE].
F.A. Dreyer and A. Karlberg, Vector-Boson Fusion Higgs Production at Three Loops in QCD, Phys. Rev. Lett. 117 (2016) 072001 [arXiv:1606.00840] [INSPIRE].
V. Del Duca, W. Kilgore, C. Oleari, C.R. 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.R. Schmidt and D. Zeppenfeld, Gluon fusion contributions to H + 2 jet production, Nucl. Phys. B 616 (2001) 367 [hep-ph/0108030] [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].
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].
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].
T. Gleisberg et al., Event generation with SHERPA 1.1, JHEP 02 (2009) 007 [arXiv:0811.4622] [INSPIRE].
F. Cascioli, P. Maierhöfer and S. Pozzorini, Scattering Amplitudes with Open Loops, Phys. Rev. Lett. 108 (2012) 111601 [arXiv:1111.5206] [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 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 and J.M. Smillie, W Plus Multiple Jets at the LHC with High Energy Jets, JHEP 09 (2012) 047 [arXiv:1206.6763] [INSPIRE].
J.R. Andersen, J.J. Medley and J.M. Smillie, Z/γ * plus multiple hard jets in high energy collisions, JHEP 05 (2016) 136 [arXiv:1603.05460] [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.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, E.A. Kuraev and L.N. Lipatov, On the Pomeranchuk Singularity in Asymptotically Free Theories, Phys. Lett. B 60 (1975) 50 [INSPIRE].
E.A. Kuraev, L.N. Lipatov and V.S. Fadin, Multi-Reggeon Processes in the Yang-Mills Theory, Sov. Phys. JETP 44 (1976) 443 [INSPIRE].
E.A. Kuraev, L.N. Lipatov and V.S. Fadin, The Pomeranchuk Singularity in Nonabelian Gauge Theories, Sov. Phys. JETP 45 (1977) 199 [INSPIRE].
I.I. Balitsky and L.N. Lipatov, The Pomeranchuk Singularity in Quantum Chromodynamics, Sov. J. Nucl. Phys. 28 (1978) 822 [INSPIRE].
V. Del Duca, A. Frizzo and F. Maltoni, Factorization of tree QCD amplitudes in the high-energy limit and in the collinear limit, Nucl. Phys. B 568 (2000) 211 [hep-ph/9909464] [INSPIRE].
J.R. Andersen and C.D. White, A New Framework for Multijet Predictions and its application to Higgs Boson production at the LHC, Phys. Rev. D 78 (2008) 051501 [arXiv:0802.2858] [INSPIRE].
J.R. Andersen, V. Del Duca and C.D. White, Higgs Boson Production in Association with Multiple Hard Jets, JHEP 02 (2009) 015 [arXiv:0808.3696] [INSPIRE].
V.S. Fadin and L.N. Lipatov, Next-to-leading corrections to the BFKL equation from the gluon and quark production, Nucl. Phys. B 477 (1996) 767 [hep-ph/9602287] [INSPIRE].
A.V. Bogdan, V. Del Duca, V.S. Fadin and E.W.N. Glover, The Quark Regge trajectory at two loops, JHEP 03 (2002) 032 [hep-ph/0201240] [INSPIRE].
J. Currie, A. Gehrmann-De Ridder, T. Gehrmann, E.W.N. Glover, A. Huss and J. Pires, Precise predictions for dijet production at the LHC, Phys. Rev. Lett. 119 (2017) 152001 [arXiv:1705.10271] [INSPIRE].
T. Gleisberg and S. Höche, Comix, a new matrix element generator, JHEP 12 (2008) 039 [arXiv:0808.3674] [INSPIRE].
S. Carrazza, R.K. Ellis and G. Zanderighi, QCDLoop: a comprehensive framework for one-loop scalar integrals, Comput. Phys. Commun. 209 (2016) 134 [arXiv:1605.03181] [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].
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].
A. Buckley et al., LHAPDF6: parton density access in the LHC precision era, Eur. Phys. J. C 75 (2015) 132 [arXiv:1412.7420] [INSPIRE].
Particle Data Group collaboration, Review of Particle Physics, Phys. Rev. D 98 (2018) 030001 [INSPIRE].
A.H. Hoang and I.W. Stewart, Top Mass Measurements from Jets and the Tevatron Top-Quark Mass, Nucl. Phys. Proc. Suppl. 185 (2008) 220 [arXiv:0808.0222] [INSPIRE].
J. Kieseler, K. Lipka and S.-O. Moch, Calibration of the Top-Quark Monte Carlo Mass, Phys. Rev. Lett. 116 (2016) 162001 [arXiv:1511.00841] [INSPIRE].
M. Butenschoen, B. Dehnadi, A.H. Hoang, V. Mateu, M. Preisser and I.W. Stewart, Top Quark Mass Calibration for Monte Carlo Event Generators, Phys. Rev. Lett. 117 (2016) 232001 [arXiv:1608.01318] [INSPIRE].
A.H. Hoang, S. Mantry, A. Pathak and I.W. Stewart, Extracting a Short Distance Top Mass with Light Grooming, arXiv:1708.02586 [INSPIRE].
P. Nason, The Top Mass in Hadronic Collisions, in From My Vast Repertoire… : Guido Altarelli’s Legacy, A. Levy, S. Forte and G. Ridolfi eds., World Scientific (2019), pp. 123–151 [arXiv:1712.02796] [INSPIRE].
A.H. Hoang, S. Plätzer and D. Samitz, On the Cutoff Dependence of the Quark Mass Parameter in Angular Ordered Parton Showers, JHEP 10 (2018) 200 [arXiv:1807.06617] [INSPIRE].
CMS collaboration, Measurement of the top quark mass using proton-proton data at \( \sqrt{s} \) = 7 and 8 TeV, Phys. Rev. D 93 (2016) 072004 [arXiv:1509.04044] [INSPIRE].
ATLAS collaboration, Measurement of the top quark mass in the \( t\overline{t} \) → dilepton channel from \( \sqrt{s} \) = 8 TeV ATLAS data, Phys. Lett. B 761 (2016) 350 [arXiv:1606.02179] [INSPIRE].
CD and D0 collaboration, Combination of CDF and D0 results on the mass of the top quark using up 9.7 fb −1 at the Tevatron, arXiv:1608.01881 [INSPIRE].
U. Langenfeld, S. Moch and P. Uwer, Measuring the running top-quark mass, Phys. Rev. D 80 (2009) 054009 [arXiv:0906.5273] [INSPIRE].
D0 collaboration, Determination of the pole and \( \overline{MS} \) masses of the top quark from the \( t\overline{t} \) cross section, Phys. Lett. B 703 (2011) 422 [arXiv:1104.2887] [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].
T. Plehn, D.L. Rainwater and D. Zeppenfeld, Determining the Structure of Higgs Couplings at the LHC, Phys. Rev. Lett. 88 (2002) 051801 [hep-ph/0105325] [INSPIRE].
Y.L. Dokshitzer, V.A. Khoze and T. Sjöstrand, Rapidity gaps in Higgs production, Phys. Lett. B 274 (1992) 116 [INSPIRE].
D.L. Rainwater, R. Szalapski and D. Zeppenfeld, Probing color singlet exchange in Z + two jet events at the CERN LHC, Phys. Rev. D 54 (1996) 6680 [hep-ph/9605444] [INSPIRE].
J.R. Andersen et al., Les Houches 2017: Physics at TeV Colliders Standard Model Working Group Report, in proceedings of the 10th Les Houches Workshop on Physics at TeV Colliders (PhysTeV 2017), Les Houches, France, 5–23 June 2017, arXiv:1803.07977 [INSPIRE].
ATLAS collaboration, Measurement of dijet production with a veto on additional central jet activity in pp collisions at \( \sqrt{s} \) = 7 TeV using the ATLAS detector, JHEP 09 (2011) 053 [arXiv:1107.1641] [INSPIRE].
ATLAS collaboration, Measurements of jet vetoes and azimuthal decorrelations in dijet events produced in pp collisions at \( \sqrt{s} \) = 7 TeV using the ATLAS detector, Eur. Phys. J. C 74 (2014) 3117 [arXiv:1407.5756] [INSPIRE].
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.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1812.08072
Rights and permissions
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.
The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
To view a copy of this licence, visit https://creativecommons.org/licenses/by/4.0/.
About this article
Cite this article
Andersen, J.R., Cockburn, J.D., Heil, M. et al. Finite quark-mass effects in Higgs boson production with dijets at large energies. J. High Energ. Phys. 2019, 127 (2019). https://doi.org/10.1007/JHEP04(2019)127
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP04(2019)127