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The $\msbar$ Renormalized Bottom Mass of Order ${\cal O}(α_s G_F M_t^2)$ and its Application to $Γ(H\to b\bar{b})$

Axel Kwiatkowski·Matthias Steinhauser
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Abstract

The renormalized mass of the bottom quark is calculated at the two loop level to order ${\cal O}(α_s G_F M_t^2)$ in the $\msbar$ renormalization scheme. Different strategies for the computation are outlined. The result is applied to the partial decay rate $Γ(H\rightarrow b\bar{b})$ of the Higgs boson into bottom quarks. Expressing the width in terms of the running mass instead of the bottom pole mass allows to treat the ${\cal O}(α_s G_F M_t^2)$ radiative corrections on the same footing as is commonly used in pure QCD calculations. The numerical values for the corrections are given and the sizes of different contributions are compared.

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Axel Kwiatkowski, Matthias Steinhauser. 1995-10-31. The $\msbar$ Renormalized Bottom Mass of Order ${\cal O}(α_s G_F M_t^2)$ and its Application to $Γ(H\to b\bar{b})$. https://arxiv.org/abs/hep-ph/9510456

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