Branching Ratio and CP Asymmetry of B_s \to K^*_0(1430)\pi Decays in the PQCD Approach

Abstract

In the two-quark model supposition for $K_0^{\ast }(1430)$, the branching ratios and the direct CP-violating asymmetries for decays ${\bar{B}}_s^0\to K_0^{\ast 0}(1430){\pi }^0,K_0^{\ast +}(1430){\pi }^{-}$ are studied by employing the perturbative QCD factorization approach. We find that although these two decays are both tree-dominated, the ratio of their penguin to tree contributions are very different: there is only a few percent for the decay ${\bar{B}}_s^0\to K_0^{\ast +}(1430){\pi }^{-}$, while about 37% in scenario I, even 51% in scenario II for the decay ${\bar{B}}_s^0\to K_0^{\ast 0}(1430){\pi }^0$. It results that these two decays have very different values in the branching ratios and the direct CP asymmetries. The branching ratio of the decay ${\bar{B}}_s^0\to K_0^{\ast +}(1430){\pi }^{-}$ is at the order of $10^{-5}$, and its direct CP asymmetry is about (20-30)%. While for the decay ${\bar{B}}_s^0\to K_0^{\ast 0}(1430){\pi }^0$, its direct CP-violating asymmetry is very large and about 90%, but it is difficult to measure it, because the branching ratio for this channel is small and only $10^{-7}$ order.

Comments: 8pages, 2figures