Higher Order QCD Corrections to $b\to c\overline{c}s$

Details Higher Order QCD Corrections to $b\to c\overline{c}s$ Higher Order QCD Corrections to $b\to c\overline{c}s$

1996-05-26

arxiv.org/abs/hep-ph/9605406v2

Phys.Rev. D55 (1997) 2827-2832

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTex, 14 pages, 2 eps figures. Added one reference, changed some comments

Scientific paper

10.1103/PhysRevD.55.2827

We calculate the ${\cal O}(\alpha_s^2 \beta_0 )$ corrections to the decay rate $b\rightarrow c\bar c s$. For reasonable values of $m_c/m_b$ this term is of the same order as both the one-loop and $\CO(\alpha_s^2 \log^2 m_W/m_b)$ corrections to the decay rate. For $m_c/m_b=0.3$ the $\CO(\alpha_s^2\beta_0)$ corrections enhance the rate by $\sim 18\%$ . We also discuss the $\CO(\alpha_s^2\beta_0)$ corrections to $R_\tau$, the $B$ semileptonic branching fraction and the charm multiplicity.

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