Three-loop mixed QCD-electroweak corrections to 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.Comment: 21 pages, associated ancillary files distributed with the paper or available from external repository. Correct typos and reference