Resonant state $D_0^\ast(2400)$ in the quasi-two-body $B$ meson decays

TL;DR

This paper uses perturbative QCD to analyze four B meson decay processes involving the $D_0^*(2400)$ resonance, predicting branching ratios consistent with experimental data and exploring symmetry violations.

Contribution

It provides the first comprehensive PQCD-based predictions for these decay modes, including detailed error analysis and symmetry relation tests.

Findings

Predicted branching ratios agree with Belle, BaBar, and LHCb data.

Identified discrepancies with isospin and SU(3) symmetry expectations.

Analyzed ratios $R_{D^{*0}_0}$ and $R_{D^{*+}_0}$ to study symmetry violations.

Abstract

We study four quasi-two-body decay processes including $D^\ast_0(2400)$ as the intermediate state in perturbative QCD (PQCD) approach. The branching fraction predicted in this work for the decay mode $B^-\to D^{*}_0(2400)^0\pi^-\to D^+\pi^-\pi^-$ agree with the data from Belle, BaBar and LHCb Collaborations. The PQCD prediction of the branching ratio for the decay $\bar B^0\to D^{*+}_0K^-\to D^0\pi^+K^-$ is consistent with the value given by LHCb. For the decays $\bar B^0\to D^{*+}_0\pi^-\to D^0\pi^+\pi^-$ and $B^-\to D^{*0}_0K^-\to D^+\pi^-K^-$, the PQCD predicted branch ratios are $2.85^{+1.23}_{-0.80}(\omega_B)^{+1.05}_{-0.81}(\omega_{D\pi})^{+0.33}_{-0.31}(a_{D\pi})^{+0.06}_{-0.05}(\Gamma_{D^{*+}_0}) \times 10^{-4}$ and $4.65^{+1.89}_{-1.30}(\omega_B)^{+1.51}_{-1.24}(\omega_{D\pi})^{+0.40}_{-0.38}(a_{D\pi})^{+0.22}_{-0.18}(\Gamma_{D^{*0}_0}) \times 10^{-5}$, respectively. We analyze the experimental branching fractions using the ratios $R_{D^{*0}_0}$ and $R_{D^{*+}_0}$ which are related to the decays with the neutral and charged $D^\ast_0(2400)$, respectively. The available experimental results for the quasi-two-body decays including $D^\ast_0(2400)$ are not in agreement with the isospin relation and $SU(3)$ flavor symmetry.