Study of the nonleptonic charmless $$B \rightarrow SS$$ B → S S decays with the QCD factorization approach

Abstract

Abstract Inspired by the brilliant prospects of the ongoing B meson experiments, the hadronic charmless B $${\rightarrow }$$ → SS decays are studied by considering the next-to-leading (NLO) contributions with the QCD factorization approach, where S denotes the scalar mesons $$K_{0}^{*}(1430)$$ K 0 ∗ ( 1430 ) and $$a_{0}(1450)$$ 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 $$1^{3}P_{0}$$ 1 3 P 0 and $$2^{3}P_{0}$$ 2 3 P 0 states. It is found that the NLO contributions are very important for the B $${\rightarrow }$$ → SS decays. For the B $${\rightarrow }$$ → $$a_{0}(1450)K_{0}^{*}(1430)$$ a 0 ( 1450 ) K 0 ∗ ( 1430 ) and $$B_{s}$$ B s $${\rightarrow }$$ → $$K_{0}^{*}(1430)\overline{K}_{0}^{*}(1430)$$ K 0 ∗ ( 1430 ) K ¯ 0 ∗ ( 1430 ) decays, branching ratios can reach up to the order of $${\mathcal {O}}(10^{-5})$$ O ( 10 - 5 ) by assuming that the scalar mesons are the 1P states, and should first be investigated in the future experiments.