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Penguin Effects on K Pi and PiPi Decays of the $B$ Meson

We give the detailed analyses for the gluonic-penguin effect on the $\kp$ and $\pp$ decays of the $B$ meson. In the standard model, it is shown that the ratio $BR(B\A\kp)/BR(B\A\pp)$ takes the value $0.5\sim 3.0$ with the strongly depending on the CP violating phase $ϕ$ and the KM matrix element $|V_{ub}|$. We obtain the constraint on the form factor by using the experimental branching ratio. It is also found that, in the two-Higgs-doublet model, the charged Higgs contribution which could enhance the $B\A X_s\r$ decay does not a sizable effect on our processes. The effect of the final state interaction on these processes is also discussed.

preprint1993arXivOpen access

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