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.
@article{arxiv.2311.10086,
title = {Double-Virtual NNLO QCD Corrections for Five-Parton Scattering: The Gluon Channel},
author = {Giuseppe De Laurentis and Harald Ita and Maximillian Klinkert and Vasily Sotnikov},
journal= {arXiv preprint arXiv:2311.10086},
year = {2024}
}
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