Analysis of $B_s\to KK$ decays in the PQCD

Abstract

We study $B_s\to KK$ decays in the framework of the PQCD. We show that the branching ratios of $B_s\to (K^{+}{K}^{-},K^0{\bar{K}}^0)$ are about $(22.43,25.78)\times 10^{-6}$ for ${\varphi }_3(\gamma )\simeq 72^0$, which are consistent with the model-independent estimations. We find that the typical scale of the decays is near 1.7 GeV. We also point out that the induced strong phase $\delta$ is around $207^0$ so that the direct CP asymmetry of $B_s\to K^{+}{K}^{-}$ could reach 15%.

Comments: 14 pages, 4 figures, references added, abstract extended slightly, final version to appear in Phys. Lett. B