Corrections of Order $\alpha {\alpha }_s$ to W Boson Decays

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.

36 pages, 16 figures, 5 tables; v2 accepted for publication in Nuclear Physics B; v3: typos corrected

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• Charged Current Drell-Yan Production at N3LO
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• Electroweak Precision Tests of the Standard Model after the Discovery of the Higgs Boson
• Precision Measurement of the W-Boson Mass: Theoretical Contributions and Uncertainties
• Double-real corrections at O(alpha alpha_s) to single gauge boson production
• $Gamma(H\to b\bar{b})$ to order $\alpha {\alpha }_s$
• Precision physics with inclusive QCD processes
• Precision measurement of the W boson decay branching fractions in proton-proton collisions at $\sqrt{s}=$ 13 TeV
• ${\alpha }_s$ and ${\mathrm{V}}_{\mathrm{cs}}$ determination, and CKM unitarity test, from W decays at NNLO
• Improved strong coupling determinations from hadronic decays of electroweak bosons at N${}^3$LO accuracy