Two-loop master integrals for the mixed QCD-electroweak corrections for $H\to b\bar{b}$ through a $Ht\bar{t}$-coupling

Abstract

We present the two-loop master integrals relevant to the $\mathcal{O}(\alpha {\alpha }_s)$-corrections to the decay $H\to b\bar{b}$ through a $Ht\bar{t}$-coupling. We keep the full dependence on the heavy particle masses, but neglect the $b$-quark mass. The occurring square roots can be rationalised and the result is expressed in terms of multiple polylogarithms.

Comments: 22 pages, v2: references added, v3: version to be published