Double-Virtual NNLO QCD Corrections for Five-Parton Scattering: The Quark Channels

TL;DR

This paper computes complete two-loop QCD corrections for three-jet production at hadron colliders, including all color contributions, using advanced numerical methods and providing a public code for practical use.

Contribution

It presents the first full NNLO QCD corrections for five-parton scattering in quark channels, including subleading color effects, with analytic expressions reconstructed via finite-field methods.

Findings

Analytic expressions reconstructed from finite-field samples.

Implementation of a public code for phenomenological applications.

Enhanced understanding of two-loop helicity amplitudes in QCD.

Abstract

We complete the computation of two-loop helicity amplitudes required to obtain next-to-next-to-leading order QCD corrections for three-jet production at hadron colliders, including all contributions beyond the leading-color approximation. The analytic expressions are reconstructed from finite-field samples obtained with the numerical unitarity method. We find that the reconstruction is significantly facilitated by exploiting the overlaps between rational coefficient functions of quark and gluon processes, and we display their compact generating sets in the appendix of the paper. We implement our results in a public code, and demonstrate its suitability for phenomenological applications.