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| Format: | Preprint |
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2025
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| Online Access: | https://arxiv.org/abs/2501.01075 |
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| _version_ | 1866913741754335232 |
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| author | Chang, Qin Yao, De-Hua Liu, Xin |
| author_facet | Chang, Qin Yao, De-Hua Liu, Xin |
| contents | In this paper, we study the $B^{0} \to J/ψh_{1}$ decays for the first time by using perturbative QCD approach up to the presently known next-to-leading order accuracy. The vertex corrections present significant contribution to the amplitude. In the calculation, the mixing between two light axial-vector mesons $h_{1}(1170)$ and $h_{1}(1415)$ are also studied in detail. The observables including the branching ratios, polarization fractions and $CP$ asymmetries are predicted and discussed explicitly. It is found that the $B^{0} \to J/ψh_{1}$ decays have relatively large branching fractions, which are generally at the order of ${\cal O}(10^{-6}\sim10^{-3})$, and thus are possible to be observed by the LHCb and Belle-II experiments in the near future. Moreover, they are very sensitive to the mixing angle $θ$ and can be used to test the values of $θ$. In addition, some ratios between the branching fractions of $B^{0} \to J/ψh_{1}$ decays can provide much stronger constraints on $θ$ due to their relatively small theoretical errors. The $B^{0} \to J/ψh_{1}$ decays are generally dominated by the longitudinal polarization contributions, specifically, $f_{L}(B^{0} \to J/ψh_{1})>80\%$, except for the case that $θ\sim 35^\circ$ and $-55^\circ$. Unfortunately, the direct $CP$ asymmetries of $B^{0} \to J/ψh_{1}$ decays are too small to be observed soon even if the effect of $θ$ is considered. The future precise measurements on $B^{0} \to J/ψh_{1}$ decays are expected for testing these theoretical findings and exploring the interesting nature of $h_{1}(1170)$ and $h_{1}(1415)$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2501_01075 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Studying the $B^{0} \to J/ψh_{1}$ decays with $h_{1}(1170)-h_{1}(1415)$ mixing in the perturbative QCD approach Chang, Qin Yao, De-Hua Liu, Xin High Energy Physics - Phenomenology In this paper, we study the $B^{0} \to J/ψh_{1}$ decays for the first time by using perturbative QCD approach up to the presently known next-to-leading order accuracy. The vertex corrections present significant contribution to the amplitude. In the calculation, the mixing between two light axial-vector mesons $h_{1}(1170)$ and $h_{1}(1415)$ are also studied in detail. The observables including the branching ratios, polarization fractions and $CP$ asymmetries are predicted and discussed explicitly. It is found that the $B^{0} \to J/ψh_{1}$ decays have relatively large branching fractions, which are generally at the order of ${\cal O}(10^{-6}\sim10^{-3})$, and thus are possible to be observed by the LHCb and Belle-II experiments in the near future. Moreover, they are very sensitive to the mixing angle $θ$ and can be used to test the values of $θ$. In addition, some ratios between the branching fractions of $B^{0} \to J/ψh_{1}$ decays can provide much stronger constraints on $θ$ due to their relatively small theoretical errors. The $B^{0} \to J/ψh_{1}$ decays are generally dominated by the longitudinal polarization contributions, specifically, $f_{L}(B^{0} \to J/ψh_{1})>80\%$, except for the case that $θ\sim 35^\circ$ and $-55^\circ$. Unfortunately, the direct $CP$ asymmetries of $B^{0} \to J/ψh_{1}$ decays are too small to be observed soon even if the effect of $θ$ is considered. The future precise measurements on $B^{0} \to J/ψh_{1}$ decays are expected for testing these theoretical findings and exploring the interesting nature of $h_{1}(1170)$ and $h_{1}(1415)$. |
| title | Studying the $B^{0} \to J/ψh_{1}$ decays with $h_{1}(1170)-h_{1}(1415)$ mixing in the perturbative QCD approach |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2501.01075 |