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 $BR(BAkp)/BR(BApp)$ takes the value $0.5sim 3.0$ with the strongly depending on the CP violating phase $phi$ 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 $BA X_sr$ decay does not a sizable effect on our processes. The effect of the final state interaction on these processes is also discussed.