Energy Distribution of $ϕ$ in Pure Penguin Induced $B$ Decays

Abstract

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

7 pages + 3 figures, Latex