Master Integrals for Electroweak corrections to $gg \to\gamma\gamma$ -- Light quark contributions

TL;DR

This paper computes master integrals for electroweak corrections to gluon-gluon to photon-photon production involving light quark loops, enabling precise theoretical predictions.

Contribution

It introduces a canonical basis for master integrals, facilitating efficient differential equation solutions for complex electroweak loop calculations.

Findings

Derived canonical bases for five integral families.

Solved differential equations using iterated integrals.

Provided numerical evaluation methods for physical kinematics.

Abstract

We present a calculation of the master integrals (MI's) required for the calculation of the Electroweak corrections to $gg\rightarrow \gamma\gamma$ production in which the process contains a light quark loop. The integrals can be broken down into five categories based on the flow of the heavy vector bosons throughout the loop. Three of the families are planar, and two are non-planar. We determine a canonical basis for each family which allows an efficient solution of the resulting differential equations via iterated integrals. We calculate the families in relevant physical kinematics and obtain an efficient numerical evaluation based on an implementation of Chen-iterated integrals.