Corrections of Order $\alpha \alpha_s$ to W Boson Decays

TL;DR

This paper calculates mixed two-loop QCD and electroweak corrections to W boson decays in the Standard Model, employing advanced multi-scale integral techniques to improve theoretical precision.

Contribution

It introduces a novel calculation of mixed two-loop corrections to W decays using asymptotic expansions and the optical theorem, advancing theoretical accuracy.

Findings

Computed mixed two-loop QCD/electroweak corrections

Applied asymptotic expansions for multi-scale integrals

Enhanced precision in W boson decay predictions

Abstract

We present the calculation of the mixed two-loop QCD/electroweak corrections to hadronic W boson decays within the Standard Model. The optical theorem is applied to the W boson two-point function. The multi-scale integrals are computed with the help of asymptotic expansions, which factorize the three-loop diagrams into one- and two-loop vacuum and propagator-type integrals.