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

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

1995-10-31

arxiv.org/abs/hep-ph/9510456v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

16 pages, LATEX, uses epsfig.sty, 15 figures included as uuencoded, gzipped, tarred postscript files. The complete postscript

Scientific paper

The renormalized mass of the bottom quark is calculated at the two loop level to order ${\cal O}(\alpha_s G_F M_t^2)$ in the $\msbar$ renormalization scheme. Different strategies for the computation are outlined. The result is applied to the partial decay rate $\Gamma(H\rightarrow b\bar{b})$ 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 ${\cal O}(\alpha_s G_F M_t^2)$ 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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