Abstract
Semileptonic three-body D→Mℓ+νℓ decays, non-leptonic M→VP decays, and semileptonic four-body D→M(M→VP)ℓ+νℓ decays are analyzed using the SU(3) flavor symmetry/breaking approach, where ℓ=e/μ, M=A/T, and A/T/V/P denote the axial-vector/tensor/vector/pseudoscalar mesons, respectively. In terms of SU(3) flavor symmetry/breaking, the decay amplitudes of the D→Mℓ+νℓ decays and the vertex coefficients of the M→VP decays are related. The relevant non-perturbative parameters of the D→Aℓ+νℓ, A→VP, and T→VP decays are constrained by the present experimental data, and the non-perturbative parameters of D→Tℓ+νℓ decays are taken from the results in the light-front quark model since no experimental data are available at present. The branching ratios of the D→Mℓ+νℓ, M→VP, and D→M(M→VP)ℓ+νℓ decays are then predicted. We find that some processes receive both tensor and axial-vector resonant contributions, while other processes receive only axial-vector resonant contributions. In cases where both kinds of resonant contributions exist, the axial-vector contributions are dominant. Some branching ratios with axial-vector resonance states are large, and they may be measured experimentally in the near future. In addition, the sensitivities of the branching ratios of D→Aℓ+νℓ and A→VP decays to the parameters are also investigated, and some decay branching ratios are found to be sensitive to the non-perturbative parameters.
Published Version
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