TL;DR
This paper presents a method for calculating the soft triple-emission phase space integral, crucial for precise Higgs boson production cross section calculations at high orders in QCD.
Contribution
It introduces a novel calculation technique combining differential equations and harmonic polylogarithm integration for soft phase space integrals.
Findings
Successful computation of the soft triple-emission phase space integral.
Enhanced precision in Higgs boson production cross section calculations.
Application of differential equations and harmonic polylogarithms to complex phase space integrals.
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.
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