On the calculation of soft phase space integral

Abstract

The recent discovery of the Higgs boson at the LHC attracts much attention to the precise calculation of its production cross section in quantum chromodynamics. In this work, we discuss the calculation of soft triple-emission phase space integral, which is an essential ingredient in the recently calculated soft-virtual corrections to Higgs boson production at next-to-next-to-next-to-leading order. The main techniques used this calculation are method of differential equation for Feynman integral, and integration of harmonic polylogarithms.

20 pages, 1 figure

References in corpus (8)

• Quark and gluon form factors to three loops
• Higgs boson gluon-fusion production at threshold in N3LO QCD
• Iterative structure of finite loop integrals
• The Two-Loop Master Integrals for $q\bar{q}\to VV$
• Two-loop splitting amplitudes and the single-real contribution to inclusive Higgs production at N3LO
• Three-loop master integrals for ladder-box diagrams with one massive leg
• Master integrals for the two-loop penguin contribution in non-leptonic B-decays
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Cited by in corpus (3)

• Higgs boson gluon-fusion production in N3LO QCD
• Collinear expansion for color singlet cross sections
• Two-loop master integrals for non-leptonic heavy-to-heavy decays