Contributions of the subprocess $K^*_0(1430) \to Kη^{\prime}$ in the charmless three-body $B$ meson decays
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arXiv
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| Natura: | Preprint |
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2023
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| _version_ | 1866913274264551424 |
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| author | Ma, Ai-Jun Wang, Wen-Fei |
| author_facet | Ma, Ai-Jun Wang, Wen-Fei |
| contents | We study the contributions for $Kη^{\prime}$ pair originating from the scalar intermediate state $K_0^{*}(1430)$ in the three-body decays $B\to Kη^{\prime} h$ ($h=π, K$) within the perturbative QCD approach. The contribution of $K^*_0(1430)\to Kη^{\prime}$ is described by the Flatt${\rm \acute{e}}$ formula with coupled channels $Kπ$, $Kη$ and $Kη^{\prime}$. The strong coupling constants $g_{K^*_0Kη^{(\prime)}}$ are extracted from $g_{K^*_0 Kπ}$ within flavor SU$(3)$ symmetry. In spite of the strong depression by phase space near the threshold of $Kη^\prime$, the $CP$ averaged branching fractions for the $B\to K^*_0(1430) h \to Kη^\prime h$ decays are predicted to be on the order of $10^{-8}$ to $10^{-5}$, which are non-negligible for the corresponding three-body $B$ decays. Since the K$η$ system is almost decoupled from the even-spin strange mesons under flavor SU$(3)$ symmetry, those quasi-two-body $B$ decays with subprocess $K^*_0(1430) \to K η$ shall have quite small branching ratios and are not taken into account in this work. We also estimate that the branching fraction for $K_0^{*}(1430)\to Kη^{\prime}$ is about one fifth of that for $K_0^{*}(1430)\to Kπ$. The predictions for the relevant decays are expected to be tested by the LHCb and Belle-II experiments in the future. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_05619 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Contributions of the subprocess $K^*_0(1430) \to Kη^{\prime}$ in the charmless three-body $B$ meson decays Ma, Ai-Jun Wang, Wen-Fei High Energy Physics - Phenomenology We study the contributions for $Kη^{\prime}$ pair originating from the scalar intermediate state $K_0^{*}(1430)$ in the three-body decays $B\to Kη^{\prime} h$ ($h=π, K$) within the perturbative QCD approach. The contribution of $K^*_0(1430)\to Kη^{\prime}$ is described by the Flatt${\rm \acute{e}}$ formula with coupled channels $Kπ$, $Kη$ and $Kη^{\prime}$. The strong coupling constants $g_{K^*_0Kη^{(\prime)}}$ are extracted from $g_{K^*_0 Kπ}$ within flavor SU$(3)$ symmetry. In spite of the strong depression by phase space near the threshold of $Kη^\prime$, the $CP$ averaged branching fractions for the $B\to K^*_0(1430) h \to Kη^\prime h$ decays are predicted to be on the order of $10^{-8}$ to $10^{-5}$, which are non-negligible for the corresponding three-body $B$ decays. Since the K$η$ system is almost decoupled from the even-spin strange mesons under flavor SU$(3)$ symmetry, those quasi-two-body $B$ decays with subprocess $K^*_0(1430) \to K η$ shall have quite small branching ratios and are not taken into account in this work. We also estimate that the branching fraction for $K_0^{*}(1430)\to Kη^{\prime}$ is about one fifth of that for $K_0^{*}(1430)\to Kπ$. The predictions for the relevant decays are expected to be tested by the LHCb and Belle-II experiments in the future. |
| title | Contributions of the subprocess $K^*_0(1430) \to Kη^{\prime}$ in the charmless three-body $B$ meson decays |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2312.05619 |