Virtual QCD corrections to gluon-initiated diphoton plus jet production at hadron colliders

TL;DR

This paper provides an analytic calculation of gluon-initiated diphoton plus jet production at hadron colliders up to two loops in QCD, including all color contributions, with implementations in C++ for practical use.

Contribution

It introduces a novel analytic reconstruction of finite remainders for two-loop corrections in gluon-initiated diphoton plus jet production, using finite field evaluations and pentagon functions.

Findings

Analytic expressions for two-loop finite remainders are derived.

A fast, stable C++ implementation is provided for practical computations.

All color contributions are included in the calculation.

Abstract

We present an analytic computation of the gluon-initiated contribution to diphoton plus jet production at hadron colliders up to two loops in QCD. We reconstruct the analytic form of the finite remainders from numerical evaluations over finite fields including all colour contributions. Compact expressions are found using the pentagon function basis. We provide a fast and stable implementation for the colour- and helicity-summed interference between the one-loop and two-loop finite remainders in C++ as part of the NJet library.