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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| Online Access: | https://arxiv.org/abs/2404.03857 |
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| _version_ | 1866929584685973504 |
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| author | Qiao, Yi Liu, Yue-Xin Xu, Yuan-Guo Wang, Ru-Min |
| author_facet | Qiao, Yi Liu, Yue-Xin Xu, Yuan-Guo Wang, Ru-Min |
| contents | Semileptonic three-body $D \to M\ell^+ν_\ell$ decays, non-leptonic $M \to VP$ decays, and semileptonic four-body $D \to M(M \to VP)\ell^+ν_\ell$ decays are analyzed using the SU(3) flavor symmetry/breaking approach, where $\ell=e/μ$, $M=A/T$, 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 $D \to M \ell^+ ν_\ell$ decays and the vertex coefficients of the $M \to VP$ decays are related. The relevant non-perturbative parameters of the $D \to A\ell^+ν_\ell$, $A \to VP$ and $T \to VP$ decays are constrained by the present experimental data, and the non-perturbative parameters of $D \to T\ell^+ν_\ell$ 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 \to M \ell^+ ν_\ell $, $M \to VP$, and $D\to M(M\to VP)\ell^+ν_\ell$ 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 \to A \ell^+ ν_\ell $ and $A \to VP$ decays to the parameters are also investigated, and some decay branching ratios are found to be sensitive to the non-perturbative parameters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_03857 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Study of the axial-vector and tensor resonant contributions to the $D \to VP\ell^+ν_\ell$ decays based on SU(3) flavor analysis Qiao, Yi Liu, Yue-Xin Xu, Yuan-Guo Wang, Ru-Min High Energy Physics - Phenomenology Semileptonic three-body $D \to M\ell^+ν_\ell$ decays, non-leptonic $M \to VP$ decays, and semileptonic four-body $D \to M(M \to VP)\ell^+ν_\ell$ decays are analyzed using the SU(3) flavor symmetry/breaking approach, where $\ell=e/μ$, $M=A/T$, 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 $D \to M \ell^+ ν_\ell$ decays and the vertex coefficients of the $M \to VP$ decays are related. The relevant non-perturbative parameters of the $D \to A\ell^+ν_\ell$, $A \to VP$ and $T \to VP$ decays are constrained by the present experimental data, and the non-perturbative parameters of $D \to T\ell^+ν_\ell$ 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 \to M \ell^+ ν_\ell $, $M \to VP$, and $D\to M(M\to VP)\ell^+ν_\ell$ 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 \to A \ell^+ ν_\ell $ and $A \to VP$ decays to the parameters are also investigated, and some decay branching ratios are found to be sensitive to the non-perturbative parameters. |
| title | Study of the axial-vector and tensor resonant contributions to the $D \to VP\ell^+ν_\ell$ decays based on SU(3) flavor analysis |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2404.03857 |