Five-Particle Phase-Space Integrals in QCD
O.Gituliar, V.Magerya, A.Pikelner
TL;DR
This paper derives analytical formulas for five-particle phase-space integrals in massless QCD, providing both exact epsilon-series expressions and numerical tools for cross-checking in various dimensions.
Contribution
It offers the first complete set of analytical five-particle phase-space master integrals in massless QCD with explicit epsilon-expansions and accompanying Monte Carlo code for numerical validation.
Findings
Analytical epsilon-series expressions for 31 master integrals.
Numerical cross-checks in 4, 6, and 8 dimensions.
Implementation of Monte Carlo code based on RAMBO algorithm.
Abstract
We present analytical expressions for the 31 five-particle phase-space master integrals in massless QCD as an -series with coefficients being multiple zeta values of weight up to 12. In addition, we provide computer code for the Monte-Carlo integration in higher dimensions, based on the RAMBO algorithm, that has been used to numerically cross-check the obtained results in 4, 6, and 8 dimensions.
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