$B\to K\bar K(πη)h$ decays in the presence of isovector scalar resonances $a_0(980,1450)$
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
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2024
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| _version_ | 1866910686828822528 |
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| author | Wang, Si-Yang Zhang, Zhi-Qing Sun, Zhi-Jie Chai, Jian Li, Peng |
| author_facet | Wang, Si-Yang Zhang, Zhi-Qing Sun, Zhi-Jie Chai, Jian Li, Peng |
| contents | Different from the previous treatment in a two-body framework, we introduce the dimeson distribution amplitudes (DAs) to describe the strong dynamics between the S-wave resonances $a_0(980, 1450)$ and the $K\bar K (πη)$ pair, where the Gegenbauer coefficient required is determined from the experimental data on the time-like form factors involved. The branching ratios and direct CP asymmetries of the decays $B \to a^{(\prime)}_0 h \to K\bar K(πη) h$, with $a_0=a_0(980)$, $a^{\prime}_0=a_0(1450)$ and $h$ referring to a pion or a kaon, are then calculated in the perturbative QCD (PQCD) approach. We find that the branching ratios of the corresponding quasi-two-body decays $B\to a^{(\prime)}_0 K$ obtained with the narrow width approximation are closer to those predicted in the QCD factorization (QCDF) approach compared to the previous PQCD calculations, no matter a three-body or a two-body framework is assumed. Furthermore, all our predictions for these $B\to a^{(\prime)}_0 K$ decays are below the current experimental upper limits except for those of decays $B^0\to a^{(\prime)-}_0K^+$, which are (slightly) larger than the upper limits. Under the narrow width approximation, the branching ratios of the decays $B^+\to a^{(\prime)+}_0π^0$, $B^0\to a^{(\prime)+}_0π^-$ and $B^0\to a^{(\prime)0}_0π^0$ are comparable to or agree well with the previous PQCD and the QCDF calculations. While for the decays $B^+\to a^{(\prime)0}_0π^+$ and $B^0\to a^{(\prime)-}_0π^+$, their branching ratios are predicted to be unexpectedly large, for example, the obtained branching ratio of decay $B^+\to a^0_0π^+$ is even higher than the current experimental upper limit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_03968 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $B\to K\bar K(πη)h$ decays in the presence of isovector scalar resonances $a_0(980,1450)$ Wang, Si-Yang Zhang, Zhi-Qing Sun, Zhi-Jie Chai, Jian Li, Peng High Energy Physics - Phenomenology High Energy Physics - Experiment Different from the previous treatment in a two-body framework, we introduce the dimeson distribution amplitudes (DAs) to describe the strong dynamics between the S-wave resonances $a_0(980, 1450)$ and the $K\bar K (πη)$ pair, where the Gegenbauer coefficient required is determined from the experimental data on the time-like form factors involved. The branching ratios and direct CP asymmetries of the decays $B \to a^{(\prime)}_0 h \to K\bar K(πη) h$, with $a_0=a_0(980)$, $a^{\prime}_0=a_0(1450)$ and $h$ referring to a pion or a kaon, are then calculated in the perturbative QCD (PQCD) approach. We find that the branching ratios of the corresponding quasi-two-body decays $B\to a^{(\prime)}_0 K$ obtained with the narrow width approximation are closer to those predicted in the QCD factorization (QCDF) approach compared to the previous PQCD calculations, no matter a three-body or a two-body framework is assumed. Furthermore, all our predictions for these $B\to a^{(\prime)}_0 K$ decays are below the current experimental upper limits except for those of decays $B^0\to a^{(\prime)-}_0K^+$, which are (slightly) larger than the upper limits. Under the narrow width approximation, the branching ratios of the decays $B^+\to a^{(\prime)+}_0π^0$, $B^0\to a^{(\prime)+}_0π^-$ and $B^0\to a^{(\prime)0}_0π^0$ are comparable to or agree well with the previous PQCD and the QCDF calculations. While for the decays $B^+\to a^{(\prime)0}_0π^+$ and $B^0\to a^{(\prime)-}_0π^+$, their branching ratios are predicted to be unexpectedly large, for example, the obtained branching ratio of decay $B^+\to a^0_0π^+$ is even higher than the current experimental upper limit. |
| title | $B\to K\bar K(πη)h$ decays in the presence of isovector scalar resonances $a_0(980,1450)$ |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2411.03968 |