Three-loop mixed QCD-electroweak corrections to Higgs boson gluon fusion

TL;DR

This paper calculates the three-loop mixed QCD-electroweak corrections to Higgs boson production via gluon fusion, using advanced mathematical techniques to evaluate complex integrals.

Contribution

It introduces a novel computation of three-loop mixed corrections employing differential equations and Goncharov polylogarithms, advancing precision in Higgs production modeling.

Findings

Computed three-loop mixed QCD-electroweak corrections to Higgs production.

Expressed integrals in terms of Goncharov polylogarithms.

Enhanced theoretical precision for Higgs boson gluon fusion.

Abstract

We compute the contribution of three-loop mixed QCD-electroweak corrections ($\alpha_S^2\alpha^2$) to the $gg \to H$ scattering amplitude. We employ the method of differential equations to compute the relevant integrals and express them in terms of Goncharov polylogarithms.