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.

arXiv comment20 pages, one great figure

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• Soft Expansion of Double-Real-Virtual Corrections to Higgs Production at N${}^3$LO
• Master integrals for the NNLO virtual corrections to $\mu e$ scattering in QED: the non-planar graphs
• 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
• On the Computation of Form Factors in Massless QCD with Finite Master Integrals
• Next-to-Leading Order QCD Corrections to the Decay Width $H\to Z\gamma$
• Higgs production in bottom quark fusion: Matching the 4- and 5-flavour schemes to third order in the strong coupling
• Prospects for Higgs physics at energies up to 100 TeV
• Analytic results for planar three-loop integrals for massive form factors
• Higgs-differential cross section at NNLO in dimensional regularisation
• Mixed QCD-electroweak corrections to Higgs production via gluon fusion in the small mass approximation
• Exact N${}^3$LO results for $q{q}^{\prime }\to H+X$
• A $QQ\to QQ$ planar doublebox in canonical form
• Three-loop planar master integrals for heavy-to-light 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