Collinear and soft gluon corrections to Higgs production at NNNLO

Abstract

I present analytical expressions for the collinear and soft gluon corrections to Higgs production via the process b bbar -> H as well as gg -> H through next-to-next-to-next-to-leading order (NNNLO). The soft corrections are complete while the collinear corrections include leading and some subleading logarithms. Numerical results at the Tevatron and the LHC are presented, primarily for b bbar -> H. It is shown that the collinear terms greatly improve the soft and virtual approximation at next-to-leading order (NLO) and next-to-next-to-leading order (NNLO), especially when subleading terms are included. The NNNLO collinear and soft corrections provide significant enhancements to the total cross section. I also provide expressions for the collinear and soft corrections through NNNLO for the related Drell-Yan process.

29 pages, 6 figures, additional material and references, some changes and corrections

References in corpus (5)

• Single top quark production at the Tevatron: threshold resummation and finite-order soft gluon corrections
• Update of Parton Distributions at NNLO
• Higher-Order threshold effects to inclusive processes in QCD
• Higher-order soft gluon corrections in single top quark production at the LHC
• Higgs boson production with one bottom quark including higher-order soft-gluon corrections

Cited by in corpus (15)

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• Webs in multiparton scattering using the replica trick
• On next-to-eikonal corrections to threshold resummation for the Drell-Yan and DIS cross sections
• The fully differential hadronic production of a Higgs boson via bottom quark fusion at NNLO
• Leading-logarithmic threshold resummation of Higgs production in gluon fusion at next-to-leading power
• Higgs boson production through $b\bar{b}$ annihilation at threshold in N${}^3$LO QCD
• On threshold resummation beyond leading 1-x order
• Higher-order corrections to top-antitop pair and single top quark production
• Two-loop soft anomalous dimensions with massive and massless quarks
• Soft gluon resummation for gluon fusion $ZH$ production
• N${}^3$LO soft-gluon corrections in single-particle-inclusive kinematics and $H^{+}{H}^{-}$ production
• Next to Soft Threshold Resummation for $VH$ Production
• Higher-order soft and virtual corrections in $pp\to \gamma W$ production at the LHC
• Slepton pair production with aNNLO+NNLL precision