Two-loop mixed QCD-EW corrections to $q \overline{q} \to H g$, $qg \to Hq$, and $\overline{q}g \to H\overline{q}$

TL;DR

This paper calculates the two-loop mixed QCD-Electroweak corrections for specific Higgs production processes involving quarks and gluons, focusing on light virtual quark contributions and expressing results with hyperlogarithms.

Contribution

It provides the first detailed computation of two-loop mixed QCD-EW corrections for these processes, including explicit helicity amplitudes and form factors expressed in hyperlogarithms.

Findings

Computed two-loop mixed QCD-EW corrections for $q\bar{q} \to H g$ and related channels.

Expressed amplitudes in terms of hyperlogarithms with algebraic arguments.

Results facilitate more precise theoretical predictions for Higgs production.

Abstract

We compute the two-loop mixed QCD-Electroweak corrections to $q \overline{q} \to H g$ and its crossed channels $q g \to H q$, $\overline{q} g \to H \overline{q}$, limiting ourselves to the contribution of light virtual quarks. We compute the independent helicity amplitudes as well as the form factors for this process, expressing them in terms of hyperlogarithms with algebraic arguments. The Feynman integrals are computed by direct integration over Feynman parameters and the results are expressed in terms of a basis of rational prefactors.