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

Abstract

We give the detailed analyses for the gluonic-penguin effect on the $\text{kp}$ and $\text{pp}$ decays of the $B$ meson. In the standard model, it is shown that the ratio $BR(B\text{A}\text{kp})/BR(B\text{A}\text{pp})$ takes the value $0.5\sim 3.0$ with the strongly depending on the CP violating phase $\varphi$ 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.

Comments: LATEX-file without figures. Figures will be sent by request to masa@auephyas.aichi-edu.ac.jp