Two-loop splitting amplitudes and the single-real contribution to inclusive Higgs production at N3LO

Abstract

The factorisation of QCD matrix elements in the limit of two external partons becoming collinear is described by process-independent splitting amplitudes, which can be expanded systematically in perturbation theory. Working in conventional dimensional regularisation, we compute the two-loop splitting amplitudes for all simple collinear splitting processes, including subleading terms in the regularisation parameter. Our results are then applied to derive an analytical expression for the two-loop single-real contribution to inclusive Higgs boson production in gluon fusion to fourth order (N3LO) in perturbative QCD.

71 pages

References in corpus (10)

• An NNLO subtraction formalism in hadron collisions and its application to Higgs boson production at the LHC
• Classical Polylogarithms for Amplitudes and Wilson Loops
• Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes
• Quark and gluon form factors to three loops
• Higgs boson gluon-fusion production at threshold in N3LO QCD
• N${}^3$LO Higgs and Drell-Yan production at threshold: the one-loop two-emission contribution
• On the singular behaviour of scattering amplitudes in quantum field theory
• Real-Virtual-Virtual contributions to the inclusive Higgs cross section at N3LO
• On the decomposition of motivic multiple zeta values
• Galois symmetries of fundamental groupoids and noncommutative geometry

Cited by in corpus (14)

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• The method of regions and next-to-soft corrections in Drell-Yan production
• Gauge-independent $\overline{MS}$ renormalization in the 2HDM
• 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
• Quark beam function at next-to-next-to-next-to-leading order in perturbative QCD in the generalized large-$N_c$ approximation
• Collinear expansion for color singlet cross sections
• On the calculation of soft phase space integral
• Momentum mappings for subtractions at higher orders in QCD
• One-loop QCD contributions to differential cross-sections for Higgs production at N${}^3$LO
• One-loop triple collinear splitting amplitudes in QCD
• QCD Beyond Leading Power
• Selected topics on multi-loop calculations to Higgs boson properties and renormalization group functions