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.

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

References in corpus (6)

• FIRE5: a C++ implementation of Feynman Integral REduction
• Feynman Diagrams and Differential Equations
• Resolution of singularities for multi-loop integrals
• Two-loop planar master integrals for Higgs$\to 3$ partons with full heavy-quark mass dependence
• O(G_F^2 m_t^4) two-loop electroweak correction to Higgs-boson decay to bottom quarks
• Two-loop virtual top-quark effect on Higgs-boson decay to bottom quarks