Two-Loop Master Integrals for the Planar QCD Massive Corrections to Di-photon and Di-jet Hadro-production

TL;DR

This paper analytically computes the master integrals needed for planar massive QCD corrections to di-photon and di-jet production at hadron colliders, using differential equations and polylogarithms.

Contribution

It provides the first analytic expressions for these master integrals, advancing precision calculations in QCD for collider processes.

Findings

Master integrals expressed in terms of polylogarithms and integrals.

Analytic solutions up to transcendentality four.

Facilitates more accurate theoretical predictions for collider experiments.

Abstract

We present the analytic calculation of the Master Integrals necessary to compute the planar massive QCD corrections to Di-photon (and Di-jet) production at hadron colliders. The masters are evaluated by means of the differential equations method and expressed in terms of multiple polylogarithms and one- or two-fold integrals of polylogarithms and irrational functions, up to transcendentality four.