Double-Virtual NNLO QCD Corrections for Five-Parton Scattering: The Gluon Channel

Abstract

We compute the two-loop helicity amplitudes for the scattering of five gluons, including all contributions beyond the leading-color approximation. The analytic expressions are represented as linear combinations of transcendental functions with rational coefficients, which we reconstruct from finite-field samples obtained with the numerical unitarity method. Guided by the requirement of removing unphysical singularities, we find a remarkably compact generating set of rational coefficients, which we are able to display entirely in the manuscript. We implement our results in a public code, which provides efficient and reliable numerical evaluations for phenomenological applications.

Comments: 20 pages, 2 figures, 2 tables - ancillaries at https://doi.org/10.5281/zenodo.10142295 and numerical code at https://gitlab.com/five-point-amplitudes/FivePointAmplitudes-cpp - published version