Real-Virtual-Virtual contributions to the inclusive Higgs cross section at N3LO

Abstract

We present the computation of the contributions to N3LO inclusive Higgs boson production due to two-loop amplitudes. Our result is a Laurent expansion in the dimensional regulator, with coefficients that are linear combinations of harmonic polylogarithms of the ratio of the Higgs boson mass and the partonic center of mass energy. We outline our method of solving the differential equations for master integrals appearing in the cross section. Solving these differential equations requires the determination of boundary conditions and we present a new technique for decomposing the boundary conditions into physical contributions. We show how these boundary conditions can be calculated using the method of expansion by regions.

20 pages, one great figure

References in corpus (7)

• Quark and gluon form factors to three loops
• Higgs boson gluon-fusion production at threshold in N3LO QCD
• On the Resolution of Singularities of Multiple Mellin-Barnes Integrals
• Approximate N^3LO Higgs-boson production cross section using physical-kernel constraints
• Adequate bases of phase space master integrals for $gg\to h$ at NNLO and beyond
• On the decomposition of motivic multiple zeta values
• Multiple polylogarithms, cyclotomy and modular complexes

Cited by in corpus (9)

• Lectures on differential equations for Feynman integrals
• Higgs boson gluon-fusion production at threshold in N3LO QCD
• Lepton-pair production at hadron colliders at N${}^3$LO in QCD
• Two-loop splitting amplitudes and the single-real contribution to inclusive Higgs production at N3LO
• Higgs production in bottom quark fusion: Matching the 4- and 5-flavour schemes to third order in the strong coupling
• Analytic results for planar three-loop integrals for massive form factors
• One-loop triple collinear splitting amplitudes in QCD
• The canonical form has got baubles
• Selected topics on multi-loop calculations to Higgs boson properties and renormalization group functions