We compute a complete set of independent leading-color two-loop five-parton amplitudes in QCD. These constitute a fundamental ingredient for the next-to-next-to-leading order QCD corrections to three-jet production at hadron colliders. We show how to consistently consider helicity amplitudes with external fermions in dimensional regularization, allowing the application of a numerical variant of the unitarity approach. Amplitudes are computed by exploiting a decomposition of the integrand into master and surface terms that is independent of the parton type. Master integral coefficients are numerically computed in either finite-field or floating-point arithmetic and combined with known analytic master integrals. We recompute two-loop leading-color four-parton amplitudes as a check of our implementation. Results are presented for all independent four- and five-parton processes including contributions with massless closed fermion loops.
@article{arxiv.1809.09067,
title = {Planar Two-Loop Five-Parton Amplitudes from Numerical Unitarity},
author = {S. Abreu and F. Febres Cordero and H. Ita and B. Page and V. Sotnikov},
journal= {arXiv preprint arXiv:1809.09067},
year = {2019}
}
Comments
v3: corrected wrong signs for five-gluon $N_f^2$ amplitudes with vanishing trees