Two-loop five-point massless QCD amplitudes within the IBP approach

TL;DR

This paper develops a new IBP-solving strategy to compute two-loop five-point massless QCD amplitudes, including complex non-planar topologies, demonstrating the potential for fully analytic results in this challenging area.

Contribution

It introduces a scalable IBP approach for complex two-loop five-point amplitudes, enabling analytic solutions for previously intractable non-planar topologies.

Findings

Successfully solved IBP identities for planar two-loop five-point amplitudes.

Derived new results for complex non-planar topologies with high irreducible numerators.

Proved the feasibility of obtaining full analytic expressions for all non-planar contributions.

Abstract

We solve the integration-by-parts (IBP) identities needed for the computation of any planar two-loop five-point massless amplitude in QCD. We also derive some new results for the most complicated non-planar topology with irreducible numerators of power as high as six. We do this by applying a new strategy for solving the IBP identities which scales better for problems with a large number of scales and/or master integrals. Our results are a proof of principle that the remaining non-planar contributions for all two-loop five-point massless QCD amplitudes can be computed in analytic form.