Journal of High Energy Physics

, 2019:176 | Cite as

Double Higgs boson production at NLO in the high-energy limit: complete analytic results

  • Joshua Davies
  • Go Mishima
  • Matthias SteinhauserEmail author
  • David Wellmann
Open Access
Regular Article - Theoretical Physics


We compute the NLO virtual corrections to the partonic cross section of ggHH, in the high energy limit. Finite Higgs boson mass effects are taken into account via an expansion which is shown to converge quickly. We obtain analytic results for the next-to-leading order form factors which can be used to compute the cross section. The method used for the calculation of the (non-planar) master integrals is described in detail and explicit results are presented.


NLO Computations QCD Phenomenology 


Open Access

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  1. [1]
    M. Grazzini et al., Higgs boson pair production at NNLO with top quark mass effects, JHEP 05 (2018) 059 [arXiv:1803.02463] [INSPIRE].ADSCrossRefGoogle Scholar
  2. [2]
    J. Davies, G. Mishima, M. Steinhauser and D. Wellmann, Double-Higgs boson production in the high-energy limit: planar master integrals, JHEP 03 (2018) 048 [arXiv:1801.09696] [INSPIRE].ADSCrossRefGoogle Scholar
  3. [3]
    S. Dawson, S. Dittmaier and M. Spira, Neutral Higgs boson pair production at hadron colliders: QCD corrections, Phys. Rev. D 58 (1998) 115012 [hep-ph/9805244] [INSPIRE].
  4. [4]
    J. Grigo, K. Melnikov and M. Steinhauser, Virtual corrections to Higgs boson pair production in the large top quark mass limit, Nucl. Phys. B 888 (2014) 17 [arXiv:1408.2422] [INSPIRE].
  5. [5]
    G. Degrassi, P.P. Giardino and R. Gröber, On the two-loop virtual QCD corrections to Higgs boson pair production in the Standard Model, Eur. Phys. J. C 76 (2016) 411 [arXiv:1603.00385] [INSPIRE].
  6. [6]
    R. Gröber, A. Maier and T. Rauh, Reconstruction of top-quark mass effects in Higgs pair production and other gluon-fusion processes, JHEP 03 (2018) 020 [arXiv:1709.07799] [INSPIRE].ADSCrossRefGoogle Scholar
  7. [7]
    R. Bonciani, G. Degrassi, P.P. Giardino and R. Gröber, Analytical Method for Next-to-Leading-Order QCD Corrections to Double-Higgs Production, Phys. Rev. Lett. 121 (2018) 162003 [arXiv:1806.11564] [INSPIRE].ADSCrossRefGoogle Scholar
  8. [8]
    S. Borowka et al., Higgs Boson Pair Production in Gluon Fusion at Next-to-Leading Order with Full Top-Quark Mass Dependence, Phys. Rev. Lett. 117 (2016) 012001 [Erratum ibid. 117 (2016) 079901] [arXiv:1604.06447] [INSPIRE].
  9. [9]
    S. Borowka et al., Full top quark mass dependence in Higgs boson pair production at NLO, JHEP 10 (2016) 107 [arXiv:1608.04798] [INSPIRE].ADSCrossRefGoogle Scholar
  10. [10]
    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, arXiv:1811.05692 [INSPIRE].
  11. [11]
    X. Xu and L.L. Yang, Towards a new approximation for pair-production and associated-production of the Higgs boson, arXiv:1810.12002 [INSPIRE].
  12. [12]
    G. Mishima, High-Energy Expansion of Two-Loop Massive Four-Point Diagrams, arXiv:1812.04373 [INSPIRE].
  13. [13]
    K. Kudashkin, K. Melnikov and C. Wever, Two-loop amplitudes for processes ggHg,qgHq and \( q\overline{q}\to Hg \) at large Higgs transverse momentum, JHEP 02 (2018) 135 [arXiv:1712.06549] [INSPIRE].
  14. [14]
    A.V. Smirnov, FIRE5: a C++ implementation of Feynman Integral REduction, Comput. Phys. Commun. 189 (2015) 182 [arXiv:1408.2372] [INSPIRE].ADSCrossRefzbMATHGoogle Scholar
  15. [15]
    C. Anastasiou, S. Beerli, S. Bucherer, A. Daleo and Z. Kunszt, Two-loop amplitudes and master integrals for the production of a Higgs boson via a massive quark and a scalar-quark loop, JHEP 01 (2007) 082 [hep-ph/0611236] [INSPIRE].
  16. [16]
    A.V. Smirnov, FIESTA4: Optimized Feynman integral calculations with GPU support, Comput. Phys. Commun. 204 (2016) 189 [arXiv:1511.03614] [INSPIRE].ADSCrossRefzbMATHGoogle Scholar
  17. [17]
    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].
  18. [18]
  19. [19]
    E. Remiddi and J.A.M. Vermaseren, Harmonic polylogarithms, Int. J. Mod. Phys. A 15 (2000) 725 [hep-ph/9905237] [INSPIRE].
  20. [20]
    S. Catani, The singular behavior of QCD amplitudes at two loop order, Phys. Lett. B 427 (1998) 161 [hep-ph/9802439] [INSPIRE].
  21. [21]
    R.N. Lee, Presenting LiteRed: a tool for the Loop InTEgrals REDuction, arXiv:1212.2685 [INSPIRE].
  22. [22]
    R.N. Lee, LiteRed 1.4: a powerful tool for reduction of multiloop integrals, J. Phys. Conf. Ser. 523 (2014) 012059 [arXiv:1310.1145] [INSPIRE].
  23. [23]
    R. Harlander and P. Kant, Higgs production and decay: Analytic results at next-to-leading order QCD, JHEP 12 (2005) 015 [hep-ph/0509189] [INSPIRE].

Copyright information

© The Author(s) 2019

Authors and Affiliations

  • Joshua Davies
    • 1
  • Go Mishima
    • 1
    • 2
  • Matthias Steinhauser
    • 1
    Email author
  • David Wellmann
    • 1
  1. 1.Institut für Theoretische Teilchenphysik, Karlsruhe Institute of Technology (KIT)KarlsruheGermany
  2. 2.Institut für Kernphysik, Karlsruhe Institute of Technology (KIT)Eggenstein-LeopoldshafenGermany

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