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Two-Loop ${\cal O}(α_sG_Fm_t^2)$ Corrections to the Fermionic Decay Rates of the Standard-Model Higgs Boson

Bernd A. Kniehl
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Abstract

Low- and intermediate mass Higgs bosons decay preferably into fermion pairs. The one-loop electroweak corrections to the respective decay rates are dominated by a flavour-independent term of ${\cal O}(G_Fm_t^2)$. We calculate the two-loop gluon correction to this term. It turns out that this correction screens the leading high-$m_t$ behaviour of the one-loop result by roughly 10\%. We also present the two-loop QCD correction to the contribution induced by a pair of fourth-generation quarks with arbitrary masses. As expected, the inclusion of the QCD correction considerably reduces the renormalization-scheme dependence of the prediction.

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Bernd A. Kniehl. 1994-05-16. Two-Loop ${\cal O}(α_sG_Fm_t^2)$ Corrections to the Fermionic Decay Rates of the Standard-Model Higgs Boson. https://doi.org/10.1103/physrevd.50.3314

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