Two-loop amplitude for mixed QCD-EW corrections to gg → Hg

We report on the two-loop amplitude computation for the mixed QCD-electroweak corrections to the process gg -> Hg, with exact dependence on the electroweak boson masses. This amplitude has been employed in the computation of next-to-leading order (NLO) mixed QCD-electroweak corrections to the Higgs-boson production rate in [47]. The master integrals that appear in the amplitude are evaluated by means of generalized power series expansions, which allows for fast and high-precision numerical evaluation of the amplitude in the physical phase-space, proving to be a powerful tool for phenomenological applications.

Automated summary

This article reports on the calculations of the two-loop amplitude for the mixed QCD-electroweak corrections to the process gg -> Hg, taking into account the exact dependence on the electroweak boson masses. The amplitude has been used in the computation of next-to-leading order mixed QCD-electroweak corrections to the Higgs-boson production rate.