Analytic form of the full two-loop five-gluon all-plus helicity amplitude

TL;DR

The full-color two-loop five-gluon amplitude for the all-plus helicity configuration is computed in a compact form containing logarithms, dilogarithm, and rational functions and is fully analytic and valid in the physical scattering region.

Abstract

We compute the full-color two-loop five-gluon amplitude for the all-plus helicity configuration. In order to achieve this, we calculate the required master integrals for all permutations of the external legs, in the physical scattering region. We verify the expected divergence structure of the amplitude, and extract the finite hard function. We further validate our result by checking the factorization properties in the collinear limit. Our result is fully analytic and valid in the physical scattering region. We express it in a compact form containing logarithms, dilogarithms and rational functions.

Figures (1)

• Figure 1: Two-loop five-particle Feynman integral topologies.