Study of scalar meson $f_0(980)$ from $B \to f_0(980)K^*$ Decays

TL;DR

This paper investigates the decay processes involving the scalar meson $f_0(980)$ using perturbative QCD, predicting branching ratios and CP asymmetries consistent with experimental data and highlighting the significance of non-factorizable contributions.

Contribution

It provides a detailed analysis of $B$ decays to $f_0(980)$ and $K^*$ mesons within the two-quark model, emphasizing the role of non-factorizable diagrams and offering predictions for CP asymmetries.

Findings

Non-factorizable diagrams significantly influence decay amplitudes.

Predicted CP asymmetry is small, around a few percent.

Results align with current experimental constraints.

Abstract

In this paper, the branching ratios and the direct CP-violating asymmetries for decays $\bar B^0\to f_0(980)\bar K^{*0}$ and $B^-\to f_0(980)K^{*-}$ by employing the perturbative QCD factorization approach are studied. In the two-quark model supposition, $f_0(980)$ is commonly viewed as a mixture of $s\bar{s}$ and $n\bar{n}(\equiv(u\bar{u}+d\bar{d})/\sqrt{2})$, that is $|f_0(980)\ra = |s\bar s\ra\cos\theta+|n\bar n\ra\sin\theta$, where $\theta$ is the $f_0-\sigma$ mixing angle. We find that the non-factorizable $f_0$ emission type diagrams can give large contributions to the final results, which are consistent with the present experimental data and the upper limit in the allowed mixing angle ranges. We predict that the direct CP asymmetry ${\cal A}^{dir}_{CP}(f_0(980)\bar K^{*0})$ is small, only a few percent, which can be tested by future B factory experiments.