The \msbar Renormalized Bottom Mass of Order \cal O(α_s G_F M_t²) and its Application to Γ(H→ bb)

1995/10/31 by Axel Kwiatkowski, Kwiatkowski, Axel, Matthias Steinhauser +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/9510456

16 pages, LATEX, uses epsfig.sty, 15 figures included as uuencoded, gzipped, tarred postscript files. The complete postscript file, including figures, is available via anonymous ftp at ftp://ttpux2.physik.uni-karlsruhe.de/ttp95-35/ttp95-35.ps (129.13.102.139) or via www at http://ttpux2.physik.uni-karlsruhe.de/cgi-bin/preprints/ (TTP95-35) and at http://theor1.lbl.gov/www/theorgroup/papers/37881.ps

Abstract

The renormalized mass of the bottom quark is calculated at the two loop level to order \cal O(α_s G_F M_t²) in the \msbar renormalization scheme. Different strategies for the computation are outlined. The result is applied to the partial decay rate Γ(H→ bb) 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_t²) 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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