Study of $B_{u,d,s}\to K_0^{\ast }(1430)P$ and $K_0^{\ast }(1430)V$ decays within QCD factorization

Abstract

We study the nonleptonic charmless $B_{u,d,s}\to K_0^{\ast }(1430)P$ $(P=K,\pi )$ and $K_0^{\ast }(1430)V$ $(V=K^{\ast },\rho ,\omega ,\varphi )$ decays. The amplitudes are calculated within the QCD factorization, and the non-perturbative quantities are evaluated by using a covariant light-front approach. The branching fractions and CP asymmetries of theses decay modes are calculated, some decay modes are first predicted, and some useful relations based on $SU(3)$ flavor symmetry are discussed. Comparing the theoretical results with the current available experimental data, it is found that $K_0^{\ast }(1430)$ can be described as the lowest-lying p-wave $(s,u/d)$ state rather than the first excited one.

38 pages, 3 figures

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