Two-Loop Master Integrals for Mixed QCD-EW Corrections to $gg \to H$ Through $\mathcal{O}(\epsilon^2)$

TL;DR

This paper computes two-loop master integrals for mixed QCD-electroweak corrections to Higgs production via gluon fusion, including full mass dependence and elliptic integral structures, advancing precision in theoretical predictions.

Contribution

It provides the first complete analytic calculation of master integrals at this order with full mass dependence and elliptic integral kernels for the process.

Findings

Master integrals expressed in terms of iterated elliptic integrals.

Results enable more precise theoretical predictions for Higgs production.

Analytic solutions through  order in  for relevant Feynman integrals.

Abstract

We consider mixed strong-electroweak corrections to Higgs production via gluon fusion, in which the Higgs boson couples to the top quark. Using the method of differential equations, we compute all of the master integrals that contribute to this process at two loops through $\mathcal{O}(\epsilon^2)$ in the dimensional regularization parameter $\epsilon = (d-4)/2$, keeping full analytic dependence on the top quark, Higgs, W, and Z boson masses. We present the results for these master integrals in terms of iterated integrals whose kernels depend on elliptic curves.