# Five-Particle Phase-Space Integrals in QCD

## 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.

## Key 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 $\epsilon$-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.