2024/06/29 by Ru-Min Wang, Wang, Ru-Min, Yijie Zhang +7
Physics and Astronomy · Computer Science · #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Computational Physics and Python Applications
paper · pdf · doi:10.48550/arxiv.2407.00372
Decays B→ DPℓ+ν_ℓ~(ℓ=e,μ,τ) with the non-resonance, the charmed vector resonances, the charmed scalar resonances and the charmed tensor resonances are calculated by using the SU(3) flavor symmetry. Firstly, the decay amplitudes of different modes are related by the SU(3) flavor symmetry. Then, relevant experiential data are used to constrain nonperturbative coefficients in the non-resonant and various resonant B→ DPℓ+ν_ℓ decays. Finally, using the constrained nonperturbative coefficients, the branching ratios of not-yet-measured B→ D^*Pℓ+ν_ℓ decays with the non-resonant and various charmed resonant contributions are predicted. Many branching ratios are predicted for the first time. We find that B→ Dη'ℓ+ν_ℓ, Bs→ Dsη'ℓ+ν_ℓ decays only receive the non-resonant contributions, B→ DsKℓ+ν_ℓ, Bs→ DKℓ+ν_ℓ, B→ Dηℓ+ν_ℓ and Bs→ Dsηℓ+ν_ℓ decays receive both non-resonant and charmed tensor resonant contributions, B+→ D-π+ℓ+ν_ℓ decays receive the non-resonant, the charmed scalar resonant and the charmed tensor resonant contributions, and other B→ Dπℓ+ν_ℓ decays receive all four kinds of contributions. These results can be used to test the SU(3) flavor symmetry approach in the four-body semileptonic decays by the future LHCb and Belle-II experiments.