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

We analyze the quasi-two-body charmed B decays B-(s)(+,0) -> D-(s())* P-2 -> D-(s)* P1P2 with P-1,P-2 as a pion or kaon. The intermediate processes B-(s) -> D-(s)* 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 (D) over bar ((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 data 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.

Automated summary

In this study, we analyzed the quasi-two-body charmed B decays and calculated the branching fractions, Breit-Wigner tail effects, and flavor SU(3) breaking effects. Most of the results are consistent with the perturbative QCD approach and experimental data, with significantly less theoretical uncertainty. Our findings also suggest that the Breit-Wigner tail effects are not sensitive to the widths of their corresponding resonances.