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

Abstract

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