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

TL;DR

This paper presents a detailed two-loop amplitude calculation for mixed QCD-electroweak corrections to gluon-gluon to Higgs plus gluon process, enabling precise phenomenological predictions for Higgs production.

Contribution

The work provides the first exact two-loop amplitude with full electroweak mass dependence for this process, using generalized power series expansions for efficient numerical evaluation.

Findings

Amplitude used in NLO mixed QCD-EW corrections to Higgs production.

Master integrals evaluated with generalized power series expansions.

Enables fast, high-precision numerical computations in physical phase-space.

Abstract

We report on the two-loop amplitude computation for the mixed QCD-electroweak corrections to the process $gg \to Hg$, 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 arXiv:2010.09451. 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.