We present a compact analytic expression for the leading colour two-loop five-gluon amplitude in Yang-Mills theory with a single negative helicity and four positive helicities. The analytic result is reconstructed from numerical evaluations over finite fields. The numerical method combines integrand reduction, integration-by-parts identities and Laurent expansion into a basis of pentagon functions to compute the coefficients directly from six-dimensional generalised unitarity cuts.
@article{arxiv.1811.11699,
title = {Analytic helicity amplitudes for two-loop five-gluon scattering: the single-minus case},
author = {Simon Badger and Christian Brønnum-Hansen and Heribertus Bayu Hartanto and Tiziano Peraro},
journal= {arXiv preprint arXiv:1811.11699},
year = {2019}
}