Analytic form of the two-loop planar five-gluon all-plus-helicity amplitude in QCD

TL;DR

This paper derives a compact analytical expression for the finite part of the two-loop five-gluon all-plus-helicity amplitude in massless QCD, advancing precision calculations for collider physics.

Contribution

It provides the full set of planar master integrals and an explicit finite remainder function, which was previously unknown.

Findings

Derived a simple, compact finite remainder function involving only dilogarithms.

Computed all relevant planar master integrals for five-point functions in massless QCD.

Enhanced the precision tools available for collider physics analyses.

Abstract

Virtual two-loop corrections to scattering amplitudes are a key ingredient to precision physics at collider experiments. We compute the full set of planar master integrals relevant to five-point functions in massless QCD, and use these to derive an analytical expression for the two-loop five-gluon all-plus-helicity amplitude. After subtracting terms that are related to the universal infrared and ultraviolet pole structure, we obtain a remarkably simple and compact finite remainder function, consisting only of dilogarithms.