Energy Distribution of $\varphi$ in Pure Penguin Induced $B$ Decays

Abstract

We study the energy distribution of $\varphi$ in pure penguin induced $B\to X_s\varphi$ taking into account the fermi motion of b inside $B$ meson for $b\to s\varphi$ and also modification due to gluon bremsstrahlung process $b\to s\varphi g$. We find that the contribution to $B\to X_s\varphi$ from $b\to s\varphi g$ is less than 3\%. This study provides a criterion for including most of the $\varphi$'s produced in a penguin process.

Comments: 7 pages + 3 figures, Latex