Study of $B \to K_0^*(1430)K^{(*)}$ decays in QCD Factorization Approach

TL;DR

This paper calculates branching fractions and CP asymmetries for specific B meson decays involving scalar and vector mesons using QCD factorization, highlighting the impact of meson emission types and annihilation uncertainties.

Contribution

It provides detailed predictions for B decay modes involving $K_0^*(1430)$ and $K^{(*)}$ within QCD factorization, considering different meson states and annihilation effects.

Findings

Decays with scalar meson emission have large branching fractions.

Decays with vector meson emission have smaller branching fractions.

Annihilation contributions introduce significant uncertainties.

Abstract

Within the QCD factorization approach, we calculate the branching fractions and $CP$ asymmetry parameters of 12 $B \to K_0^*(1430)K^{(*)}$ decay modes under the assumption that the scalar meson $K_0^*(1430)$ is the first excited state or the lowest lying ground state in the quark model. We find that the decay modes with the scalar meson emitted, have large branching fractions due to the enhancement of large chiral factor $r_\chi^{K_0^*}$. The branching fractions of decays with the vector meson emitted, become much smaller owing to the smaller factor $r_\chi^{K^*}$. Moreover, the annihilation type diagram will induce large uncertainties because of the extra free parameter dealing with the endpoint singularity. For the pure annihilation type decays, our predictions are smaller than that from PQCD approach by 2-3 orders of magnitudes. These results will be tested by the ongoing LHCb experiment, forthcoming Belle-II experiment and the proposing circular electron-positron collider.