$η$-$η'$ mixing and its application in the $B^+/D^+/D_s^+\toη^{(\prime)}\ell^+ ν_\ell$ decays
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915533302005760 |
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| author | Zhang, Yu-Jie Wu, Xing-Gang Hu, Dan-Dan Zeng, Long |
| author_facet | Zhang, Yu-Jie Wu, Xing-Gang Hu, Dan-Dan Zeng, Long |
| contents | In this paper, we take into account the intrinsic charm and gluonic contents into the $η-η^\prime$ mixing scheme and formulate the tetramixing $η-η^\prime-G-η_c$ to study the mixing properties of $η^{(\prime)}$ mesons. Using the newly derived mixing parameters, we calculate the transition form factors (TFFs) of $B^+/D^+/D_s^+\toη^{(\prime)}$ within the QCD light-cone sum rules up to next-to-leading order QCD corrections and twist-4 contributions. Using the extrapolated TFFs, we then calculate the decay widths and branching fractions of the semi-leptonic decays $B^+/D^+/D_s^+\toη^{(\prime)}\ell^+ν_{\ell}$. Our results are consistent with the recent Belle and BES-III measurements within reasonable errors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_13214 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $η$-$η'$ mixing and its application in the $B^+/D^+/D_s^+\toη^{(\prime)}\ell^+ ν_\ell$ decays Zhang, Yu-Jie Wu, Xing-Gang Hu, Dan-Dan Zeng, Long High Energy Physics - Phenomenology In this paper, we take into account the intrinsic charm and gluonic contents into the $η-η^\prime$ mixing scheme and formulate the tetramixing $η-η^\prime-G-η_c$ to study the mixing properties of $η^{(\prime)}$ mesons. Using the newly derived mixing parameters, we calculate the transition form factors (TFFs) of $B^+/D^+/D_s^+\toη^{(\prime)}$ within the QCD light-cone sum rules up to next-to-leading order QCD corrections and twist-4 contributions. Using the extrapolated TFFs, we then calculate the decay widths and branching fractions of the semi-leptonic decays $B^+/D^+/D_s^+\toη^{(\prime)}\ell^+ν_{\ell}$. Our results are consistent with the recent Belle and BES-III measurements within reasonable errors. |
| title | $η$-$η'$ mixing and its application in the $B^+/D^+/D_s^+\toη^{(\prime)}\ell^+ ν_\ell$ decays |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2506.13214 |