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

TL;DR

This paper investigates the branching ratios and CP asymmetries of specific B_s meson decays into K*_0(1430) and pion using the PQCD approach, revealing significant differences in decay behaviors and CP violation.

Contribution

It provides a detailed analysis of B_s decay modes into K*_0(1430) and pion, highlighting the impact of penguin contributions and predicting large CP asymmetries, especially in the neutral decay mode.

Findings

Branching ratio of B_s → K*_0(1430)π^+ is around 10^{-5}.

Direct CP asymmetry in B_s → K*_0(1430)π^+ is about 20-30%.

CP asymmetry in B_s → K*_0(1430)π^0 can reach 90%, but with a very small branching ratio.

Abstract

In the two-quark model supposition for $K_0^{*}(1430)$, the branching ratios and the direct CP-violating asymmetries for decays $\bar B_s^0\to K^{*0}_0(1430)\pi^0, K^{*+}_0(1430)\pi^-$ 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 $\bar B_s^0\to K^{*+}_0(1430)\pi^-$, while about 37% in scenario I, even 51% in scenario II for the decay $\bar B_s^0\to K^{*0}_0(1430)\pi^0$. 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 $\bar B_s^0\to K^{*+}_0(1430)\pi^-$ is at the order of $10^{-5}$, and its direct CP asymmetry is about (20-30)%. While for the decay $\bar B_s^0\to K^{*0}_0(1430)\pi^0$, 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.