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.

arXiv comment29 pages, 6 figures, additional material and references, some changes and corrections

References in corpus (31)

• The Three-Loop Splitting Functions in QCD: The Non-Singlet Case
• Next-to-Next-to-Leading Order Higgs Production at Hadron Colliders
• Higgs boson production at hadron colliders in NNLO QCD
• NNLO corrections to the total cross section for Higgs boson production in hadron-hadron collisions
• Soft-gluon resummation for Higgs boson production at hadron colliders
• Soft Gluon Radiation in Higgs Boson Production at the LHC
• Higgs boson production in bottom quark fusion at next-to-next-to-leading order
• Resummation for QCD Hard Scattering
• Evolution of Color Exchange in QCD Hard Scattering
• Higher-Order Soft Corrections to Lepton Pair and Higgs Boson Production
• Next-to-next-to-leading order soft-gluon corrections in top quark hadroproduction
• Higgs production in hadron collisions: soft and virtual QCD corrections at NNLO
• Single top quark production at the Tevatron: threshold resummation and finite-order soft gluon corrections
• Update of Parton Distributions at NNLO
• Virtual corrections to gg -> H to two loops in the heavy top limit
• Higher-Order threshold effects to inclusive processes in QCD
• Soft and virtual corrections to pp -> H + X at NNLO
• Threshold resummation for electroweak annihilation from DIS data
• On Sudakov and Soft resummations in QCD
• Two-loop corrections to Higgs boson production
• Higher-order soft gluon corrections in single top quark production at the LHC
• High-order corrections and subleading logarithms for top quark production
• Next-to-next-to-next-to-leading-order soft-gluon corrections in hard-scattering processes near threshold
• The Higgs Working Group: Summary Report (2001)
• Charged Higgs production via bg -> tH- at the LHC
• A unified approach to NNLO soft and virtual corrections in electroweak, Higgs, QCD, and SUSY processes
• Transverse momentum resummation for Higgs boson produced via bb-bar fusion at hadron colliders
• Uncertainties of the Inclusive Higgs Production Cross Section at the Tevatron and the LHC
• Next-to-next-to-leading order soft and virtual corrections for QCD, Higgs and SUSY processes
• Higgs boson production with one bottom quark including higher-order soft-gluon corrections
• Collinear and soft resummation in the large-x limit

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• Leading-logarithmic threshold resummation of the Drell-Yan process at next-to-leading power
• 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
• Soft-gluon corrections for $tW$ production at N${}^3$LO
• Electroweak corrections to $Z$-boson hadroproduction at finite transverse momentum
• Higher-order corrections to top-antitop pair and single top quark production
• Two-loop soft anomalous dimensions with massive and massless quarks
• Higgsino and gaugino pair production at the LHC with aNNLO+NNLL precision
• Higher-order radiative corrections for $b\bar{b}\to H^{-}{W}^{+}$
• Threshold Resummation Effects in Neutral Higgs Boson Production by Bottom Quark Fusion at the CERN Large Hadron Collider
• Resummations in QCD hard-scattering at large and small x
• 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
• Comparing Production Cross Sections for QCD Matter, Higgs Boson, Neutrino with Dark Energy in Accelerating Universe
• Theoretical results for charged-Higgs production
• Higher-order soft and virtual corrections in $pp\to \gamma W$ production at the LHC
• Slepton pair production with aNNLO+NNLL precision