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

Abstract

We analyze the quasi-two-body charmed B decays B +,0 (s) → D * (s) P 2 → D (s) P 1 P 2 with P 1,2 as a pion or kaon. The intermediate processes B (s) → D * (s) P 2 are calculated with the factorizationassisted topological-amplitude approach and the resonant effects are calculated with the Breit-Wigner formalism. Taking all p-wave resonance states 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.

Diagrammatic analysis of hidden- and open-charm tetraquark production in B decays

“…In such a case, the diagrammatic approach can nevertheless teach us essential information about the physical processes. The diagrammatic approach has been applied in B decays [44][45][46][47] and D decays [48][49][50][51][52][53][54][55]. It has also been proved to be able to recover the symmetry protected relations between different decay amplitudes [56,57].…”

From topological amplitude to rescattering dynamics

“…The topological diagram amplitude (TDA) approach [12][13][14][15][16], in which the topological diagrams are classified according to the topologies in the flavor flow of weak decay diagrams, is very popular. Topological diagram is intuitive to the internal dynamics of hadron decays, providing a framework in which we cannot only do a model-dependent data analysis [17][18][19][20][21][22] but also perform a theoretical model calculation [23][24][25][26][27][28][29][30][31]. In refs.…”

From topological amplitude to rescattering dynamics

“…The topological diagram amplitude (TDA) approach [12][13][14][15][16], in which the topological diagrams are classified according to the topologies in the flavor flow of weak decay diagrams, is very popular. Topological diagram is intuitive to the internal dynamics of hadron decays, providing a framework in which we cannot only do a model-dependent data analysis [17][18][19][20][21][22] but also perform a theoretical model calculation [23][24][25][26][27][28][29][30][31]. In Refs.…”