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

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