$Gamma(H\to b\bar{b})$ to order $\alpha {\alpha }_s$

Abstract

We compute the decay rate of the Standard Model Higgs boson to bottom quarks to order $\alpha {\alpha }_s$. We apply the optical theorem and calculate the imaginary part of three-loop corrections to the Higgs boson propagator using asymptotic expansions in appropriately chosen mass ratios. The corrections of order $\alpha {\alpha }_s$ are of the same order of magnitude as the $\mathcal{O}({\alpha }_s^3)$ QCD corrections but have the opposite sign.

16 pages, 2 figures and 7 tables

References in corpus (7)

• Big-Bang Nucleosynthesis
• Combined Measurement of the Higgs Boson Mass in $pp$ Collisions at $\sqrt{s}=7$ and 8 TeV with the ATLAS and CMS Experiments
• Quark mass relations to four-loop order
• Techniques for the calculation of electroweak radiative corrections at the one-loop level and results for W-physics at LEP200
• Precision Calculations in Supersymmetric Theories
• Decoupling of heavy quarks at four loops and effective Higgs-fermion coupling
• Corrections of Order $\alpha {\alpha }_s$ to W Boson Decays

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