Recalculation of QCD Corrections to $b \to s γ$ Decay

Details Recalculation of QCD Corrections to $b \to s γ$ Decay Recalculation of QCD Corrections to $b \to s γ$ Decay

1994-08-23

arxiv.org/abs/hep-ph/9408351v2

Phys.Rev. D52 (1995) 3978-3985

Physics

High Energy Physics

High Energy Physics - Phenomenology

16 pages, 7 figures (uuencoded ps files), Changes of description. To appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.52.3978

We give a more complete calculation of $b \to s\gamma $ decay, including leading log QCD corrections from $m_{top}$ to $M_W$ in addition to corrections from $M_{W}$ to $m_b$. We have included the full set of dimension-6 operators and corrected numerical mistakes of anomalous dimensions in a previous paper\cite{Cho}. Comparing with the calculations without QCD running from $m_{top}$ to $M_W$\cite{Mis}, the inclusive decay rate is found to be enhanced. At $m_t=150$GeV, it results in 12\% enhancement, and for $m_t=250$GeV, 15\% is found. The total QCD effect makes an enhanced factor of 4.2 at $m_t=150$GeV, and 3.2 for $m_t=250$GeV.

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