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.

arXiv comment20 pages, 1 figure

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• Simplicity from Recoil: The Three-Loop Soft Function and Factorization for the Energy-Energy Correlation
• Soft Expansion of Double-Real-Virtual Corrections to Higgs Production at N${}^3$LO
• Transverse Parton Distribution and Fragmentation Functions at NNLO: the Quark Case
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• Collinear expansion for color singlet cross sections
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• Double-Real-Virtual and Double-Virtual-Real Corrections to the Three-Loop Thrust Soft Function