Analysis of three-body charmed B meson decays under the factorization-assisted topological-amplitude approach

TL;DR

This paper studies three-body charmed B meson decays using a factorization-assisted topological-amplitude approach, providing predictions for branching fractions, resonance effects, and flavor symmetry breaking with reduced theoretical uncertainties.

Contribution

It introduces a novel calculation method for quasi-two-body B decays that accounts for resonance effects and SU(3) breaking, improving precision over previous approaches.

Findings

Most branching fractions agree with pQCD predictions and experimental data.

Breit-Wigner-tail effects can reach about 5% in B0 decays.

Breit-Wigner-tail effects are insensitive to resonance widths.

Abstract

We analyze the quasi-two-body charmed $B$ decays $B^{+,0}_{(s)} \to D_{(s)}^* P_2 \to D_{(s)} P_1 P_2$ with $P_{1,2}$ as a pion or kaon. The intermediate processes $B_{(s)} \to D_{(s)}^* P_2 $ are calculated with the factorization-assisted topological-amplitude approach and the resonant effects are calculated with the Breit-Wigner formalism. Taking all p-wave resonance states $ \bar D_{(s)}^*$ into consideration, we present the related branching fractions, calculate the Breit-Wigner-Tail effects, and investigate the flavor $SU(3)$ breaking effects. Most of our branching fractions are consistent with the perturbative QCD approach's predictions as well as the current experimental data. With more precision calculation of the intermediate two body charmed B meson decays, our quasi-two-body B decays calculation has significantly less theoretical uncertainty than the perturbative QCD approach. Many of those channels without any experimental data will be confronted with the future more accurate experiment measurements. Our results of the Breit-Wigner-tail effects also agree with the experimental very well. In $B^0$ decays this effect can reach approximately to $5\%$. It is also found that the Breit-Wigner-tail effects are not sensitive to the widths of their corresponding resonances. The flavor $SU(3)$ symmetry breaking effect is also investigated.