Five-Particle Phase-Space Integrals in QCD
O. Gituliar, V. Magerya, A. Pikelner
TL;DR
This paper provides analytical formulas for five-particle phase-space integrals in massless QCD, including a computational tool for numerical validation across various dimensions, advancing precision in high-energy physics calculations.
Contribution
It introduces explicit analytical expressions for all five-particle phase-space master integrals in massless QCD and offers a Monte-Carlo code for numerical cross-checks.
Findings
Analytical expressions for 31 five-particle phase-space integrals.
Numerical validation in 4, 6, and 8 dimensions.
Use of multiple zeta values up to weight 12.
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 a 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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