$S$-wave $K\pi$ contributions to the hadronic charmonium $B$ decays in the perturbative QCD approach

TL;DR

This paper analyzes the S-wave Kπ contributions to B meson decays into charmonium states using perturbative QCD, providing predictions consistent with experimental data and highlighting the importance of the K*_0(1430) resonance.

Contribution

It extends previous work by modeling the Kπ S-wave contributions with the LASS parametrization within the perturbative QCD framework, offering improved decay predictions.

Findings

Predictions agree well with BABAR and Belle data.

The LASS parametrization effectively describes the Kπ S-wave form factor.

Results are consistent with experimental measurements and can be tested by LHCb and Belle-II.

Abstract

We extend our recent works on the two-pion $S$-wave resonance contributions to the kaon-pion ones in the $B$ meson hadronic charmonium decay modes based on the perturbative QCD approach. The $S$-wave $K\pi$ time-like form factor in its distribution amplitudes is described by the LASS parametrization, which consists of the $K^*_0(1430)$ resonant state together with an effective range nonresonant component. The predictions for the decays $B\rightarrow J/\psi K\pi$ in this work agree well with the experimental results from $BABAR$ and Belle Collaborations. We also discuss theoretical uncertainties, indicating the results of this work, which can be tested by the LHCb and Belle-II experiments, are reasonably accurate.