Branching ratio and direct CP-violating rate asymmetry of the rare decays $B \to K^\ast γ$ and $B \to ργ$

Details Branching ratio and direct CP-violating rate asymmetry of the rare decays $B \to K^\ast γ$ and $B \to ργ$ Branching ratio and direct CP-violating rate asymmetry of the rare decays $B \to K^\ast γ$ and $B \to ργ$

1994-06-29

arxiv.org/abs/hep-ph/9406421v1

Nucl.Phys.B434:39-55,1995; ERRATUM-ibid.B444:447,1995

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages and 4 Figures, DESY 94-089 and ZU-TH 14/94

Scientific paper

10.1016/0550-3213(94)00463-O

We calculate CP-violating rate asymmetries in the rare radiative decays $B^\pm\rightarrow K^{\ast\pm} \gamma$ and $B^\pm\rightarrow \rho^\pm \gamma$. They arise because of the interference between leading-order penguin amplitudes and one-gluon corrections with absorptive phases, and provide unambiguous evidence for direct CP violation. Complementing earlier studies, we also investigate gluon exchange with the `spectator' quark. The bound state effects in the exclusive matrix elements are taken into account by a covariant model, which yields a branching ratio $BR(B\rightarrow K^\ast \gamma) = (4-5)\times 10^{-5}$ in good agreement with the observed value. The bound state effects increase the CP asymmetry, which is of order $1 \%$ in the channel $B\rightarrow K^\ast \gamma$ and $15 \%$ for $B \to \rho \gamma$.

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