$B\to φK$ and $B\to φX_s$ in the Heavy Quark Limit

Details $B\to φK$ and $B\to φX_s$ in the Heavy Quark Limit $B\to φK$ and $B\to φX_s$ in the Heavy Quark Limit

2000-08-16

arxiv.org/abs/hep-ph/0008159v2

Phys.Rev. D63 (2001) 094004

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, revtex

Scientific paper

10.1103/PhysRevD.63.094004

We study $B\to \phi K$ and $B\to \phi X_s$ decays in the heavy quark limit using perturbative QCD. The next leading order corrections introduce substantial modifications to the naive factorization results (more than 50%). The branching ratio $Br(B\to \phi K)$ is predicted to be in the range $(F^{B\to K}_1(m^2_\phi)/0.33)^2(3.5\sim 4.2) \times 10^{-6}$ which is within the one $\sigma$ allowed region from the central value of $6.2\times 10^{-6}$ measured by CLEO, but outside the one $\sigma$ allowed region from the central value of $17.2\times 10^{-6}$ measured by BELLE for reasonable $F_1^{B\to K}$. For the semi-inclusive decay $B\to \phi X_s$ we also include initial bound state effect in the heavy quark limit which decreases the branching ratio by about 10%. $Br(B\to \phi X_s)$ is predicted to be in the range $(5.1\sim 6.3)\times 10^{-5}$.

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