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| Main Authors: | , |
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| Format: | Preprint |
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2025
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| Online Access: | https://arxiv.org/abs/2508.09578 |
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| _version_ | 1866918226902908928 |
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| author | Ma, Ai-Jun Wang, Wen-Fei |
| author_facet | Ma, Ai-Jun Wang, Wen-Fei |
| contents | Inspired by the significant virtual contributions of the subprocesses $D^{*}/B^{*}\to Dπ$ and $ ρ\toωπ/K\bar{K}$ in the three-body hadronic $B$ meson decays, we study the off-shell effects of the resonance $K^*$ decaying into the $K^*π$ or $Kρ$ system in the decays $B \to K^*πh$ and $B \to Kρh$ (with $h=π, K$) within the perturbative QCD approach. The strong coupling constants $g_{K^*K^*π}$ and $g_{K^*Kρ}$ involved in this work are derived from the coupling constant $g_{ρωπ}$ under the flavor SU$(3)$ symmetry. The $CP$ averaged branching fractions for the quasi-two-body decays $B\to K^*[\to K^*π] h$ and $B\to K^*[\to Kρ] h$ are predicted to be on the order of $10^{-9}$ to $10^{-7}$ in this study. And the branching fractions for the decays $B\to K^*[\to Kρ] h$ are found to be around half of the corresponding results for the $B\to K^*[\to K^*π] h$ channels, mainly due to the phase space difference between the $Kρ$ and $K^*π$ pairs originating from the intermediate state $K^*$. Experimental data for the $K^*$ decaying into the final states $K^*π$ and $Kρ$ in the $B$ meson decays is expected to be obtained by the LHCb and Belle-II experiments in the near future. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_09578 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The virtual contributions from $K^*$ in the $B \to K^*πh$ and $B \to Kρh$ decays Ma, Ai-Jun Wang, Wen-Fei High Energy Physics - Phenomenology Inspired by the significant virtual contributions of the subprocesses $D^{*}/B^{*}\to Dπ$ and $ ρ\toωπ/K\bar{K}$ in the three-body hadronic $B$ meson decays, we study the off-shell effects of the resonance $K^*$ decaying into the $K^*π$ or $Kρ$ system in the decays $B \to K^*πh$ and $B \to Kρh$ (with $h=π, K$) within the perturbative QCD approach. The strong coupling constants $g_{K^*K^*π}$ and $g_{K^*Kρ}$ involved in this work are derived from the coupling constant $g_{ρωπ}$ under the flavor SU$(3)$ symmetry. The $CP$ averaged branching fractions for the quasi-two-body decays $B\to K^*[\to K^*π] h$ and $B\to K^*[\to Kρ] h$ are predicted to be on the order of $10^{-9}$ to $10^{-7}$ in this study. And the branching fractions for the decays $B\to K^*[\to Kρ] h$ are found to be around half of the corresponding results for the $B\to K^*[\to K^*π] h$ channels, mainly due to the phase space difference between the $Kρ$ and $K^*π$ pairs originating from the intermediate state $K^*$. Experimental data for the $K^*$ decaying into the final states $K^*π$ and $Kρ$ in the $B$ meson decays is expected to be obtained by the LHCb and Belle-II experiments in the near future. |
| title | The virtual contributions from $K^*$ in the $B \to K^*πh$ and $B \to Kρh$ decays |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2508.09578 |