Study of the nonleptonic charmless $B$ $\to$ $SS$ decays with the QCD factorization approach

Abstract

Inspired by the brilliant prospects of the ongoing $B$ meson experiments, the hadronic charmless $B$ $\to$ $SS$ decays are studied by considering the next-to-leading (NLO) contributions with the QCD factorization approach, where $S$ denotes the scalar mesons $K_0^{\ast }(1430)$ and $a_0(1450)$. Branching ratios and $CP$ violating asymmetries are estimated with the updated values of hadronic parameters obtained from a covariant light-front quark model, for two scenarios where the scalar mesons are the $1^3{P}_0$ and $2^3{P}_0$ states. It is found that the NLO contributions are very important for the $B$ $\to$ $SS$ decays; For the $B$ $\to$ $a_0(1450)K_0^{\ast }(1430)$ and $B_s$ $\to$ $K_0^{\ast }(1430){\overline{K}}_0^{\ast }(1430)$ decays, branching ratios can reach up to the order of $\mathcal{O}(10^{-5})$ by assuming that the scalar mesons are the $1P$ states, and should first be investigated in the future experiments.