We present the analytic form of all leading-color two-loop five-parton helicity amplitudes in QCD. The results are analytically reconstructed from exact numerical evaluations over finite fields. Combining a judicious choice of variables with a new approach to the treatment of particle states in D dimensions for the numerical evaluation of amplitudes, we obtain the analytic expressions with a modest computational effort. Their systematic simplification using multivariate partial-fraction decomposition leads to a particularly compact form. Our results provide all two-loop amplitudes required for the calculation of next-to-next-to-leading order QCD corrections to the production of three jets at hadron colliders in the leading-color approximation.
@article{arxiv.1904.00945,
title = {Analytic Form of the Planar Two-Loop Five-Parton Scattering Amplitudes in QCD},
author = {S. Abreu and J. Dormans and F. Febres Cordero and H. Ita and B. Page and V. Sotnikov},
journal= {arXiv preprint arXiv:1904.00945},
year = {2019}
}