Approximate N^3LO Higgs-boson production cross section using physical-kernel constraints

Abstract

The single-logarithmic enhancement of the physical kernel for Higgs production by gluon-gluon fusion in the heavy top-quark limit is employed to derive the leading so far unknown contributions, ln^{5,4,3}(1-z), to the N^3LO coefficient function in the threshold expansion. Also using knowledge from Higgs-exchange DIS to estimate the remaining terms not vanishing for z = m_H^2/s^hat -> 1, these results are combined with the recently completed soft + virtual contributions to provide an uncertainty band for the complete N^3LO correction. For the 2008 MSTW parton distributions these N^3LO contributions increase the cross section at 14 TeV by (10 +- 2)% and (3 +- 2.5)% for the standard choices mu_R = m_H and mu_R = m_H/2 of the renormalization scale. The remaining uncertainty arising from the hard-scattering cross sections can be quantified as no more than 5%, which is smaller than that due to the strong coupling and the parton distributions.

24 pages, 6 figures. arXiv-dysfunctional LaTeX macro for beta_0 replaced. Minor text changes with 3 new references. Version to appear in JHEP

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Cited by in corpus (13)

• Higgs boson gluon-fusion production in N3LO QCD
• Higgs boson gluon-fusion production at threshold in N3LO QCD
• The method of regions and next-to-soft corrections in Drell-Yan production
• Universality of next-to-leading power threshold effects for colourless final states in hadronic collisions
• High-Energy Limit of QCD beyond Sudakov Approximation
• Threshold and jet radius joint resummation for single-inclusive jet production
• Effective Multi-Higgs Couplings to Gluons
• Real-Virtual-Virtual contributions to the inclusive Higgs cross section at N3LO
• The three loop soft function for N${}^3$LL${}^{\prime }$ gluon fusion Higgs production in SCET
• Associated production of Higgs boson with vector boson at threshold N${}^3$LO in QCD
• Higgs Rapidity Distribution in $b\bar{b}$ Annihilation at Threshold in N${}^3$LO QCD
• A factorization approach to next-to-leading-power threshold logarithms
• Selected topics on multi-loop calculations to Higgs boson properties and renormalization group functions