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 $\phi_{3}(\gamma)\simeq72^0$, 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%.