Two-loop leading colour QCD corrections to $q \bar{q} \to \gamma \gamma g$ and $q g \to \gamma \gamma q$

TL;DR

This paper computes advanced two-loop QCD corrections for photon and jet production processes, enhancing the precision of theoretical predictions for collider experiments.

Contribution

It introduces the first calculation of leading colour two-loop corrections for specific photon-jet production channels, utilizing modern reduction algorithms.

Findings

Analytic expressions for two-loop corrections provided

Implemented in an efficient C++ code for numerical evaluation

Results facilitate more accurate collider phenomenology

Abstract

We present the leading colour and light fermionic planar two-loop corrections for the production of two photons and a jet in the quark-antiquark and quark-gluon channels. In particular, we compute the interference of the two-loop amplitudes with the corresponding tree level ones, summed over colours and polarisations. Our calculation uses the latest advancements in the algorithms for integration-by-parts reduction and multivariate partial fraction decomposition to produce compact and easy-to-use results. We have implemented our results in an efficient C++ numerical code. We also provide their analytic expressions in Mathematica format.