Systematic analysis of the transition form factors of $B_c$ to $D$-wave charmonia and corresponding semileptonic decays
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| Format: | Preprint |
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2025
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| _version_ | 1866917123536715776 |
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| author | Lu, Jie Chen, Dian-Yong Yu, Guo-Liang Wang, Zhi-Gang |
| author_facet | Lu, Jie Chen, Dian-Yong Yu, Guo-Liang Wang, Zhi-Gang |
| contents | In this article, the vector, axial vector and tensor form factors of $B_c$ to $D$-wave charmonia $ψ_J$ ($J=1,2,3$) and $η_{c2}$ are analyzed within the framework of three-point QCD sum rules. With the estimated vector and axial vector form factors, we study the decay widths and branching ratios of semileptonic decays $B_c\toψ_Jl\bar{ν_l}$ and $B_c\toη_{c2}l\bar{ν_l}$. Our results indicate that the semileptonic decay branching ratios of $B_c$ to $D$-wave charmonia decreases as the total angler momentum of the final state $D$-wave charmonia increases. For decay processes $B_c\to ψ_1l\barν_l$, $B_c\to ψ_2[η_{c2}]l\barν_l$ and $B_c\to ψ_3l\barν_l$, the branching ratios can reach the order $10^{-3}$, $10^{-4}$ and $10^{-5}$, respectively, which can provide a valuable reference for future experimental measurements for $B_c$ meson by LHCb collaboration. Furthermore, these results also can provide useful information to study the properties of $B_c$ meson and $D$-wave charmonia. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2510_03757 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Systematic analysis of the transition form factors of $B_c$ to $D$-wave charmonia and corresponding semileptonic decays Lu, Jie Chen, Dian-Yong Yu, Guo-Liang Wang, Zhi-Gang High Energy Physics - Phenomenology In this article, the vector, axial vector and tensor form factors of $B_c$ to $D$-wave charmonia $ψ_J$ ($J=1,2,3$) and $η_{c2}$ are analyzed within the framework of three-point QCD sum rules. With the estimated vector and axial vector form factors, we study the decay widths and branching ratios of semileptonic decays $B_c\toψ_Jl\bar{ν_l}$ and $B_c\toη_{c2}l\bar{ν_l}$. Our results indicate that the semileptonic decay branching ratios of $B_c$ to $D$-wave charmonia decreases as the total angler momentum of the final state $D$-wave charmonia increases. For decay processes $B_c\to ψ_1l\barν_l$, $B_c\to ψ_2[η_{c2}]l\barν_l$ and $B_c\to ψ_3l\barν_l$, the branching ratios can reach the order $10^{-3}$, $10^{-4}$ and $10^{-5}$, respectively, which can provide a valuable reference for future experimental measurements for $B_c$ meson by LHCb collaboration. Furthermore, these results also can provide useful information to study the properties of $B_c$ meson and $D$-wave charmonia. |
| title | Systematic analysis of the transition form factors of $B_c$ to $D$-wave charmonia and corresponding semileptonic decays |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2510.03757 |