First lattice QCD calculation of $J/ψ$ semileptonic decay containing $D$ and $D_s$ particles
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| Main Authors: | , , , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866914975220498432 |
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| author | Meng, Yu Dang, Jin-Long Liu, Chuan Tuo, Xin-Yu Yan, Haobo Yang, Yi-Bo Zhang, Ke-Long |
| author_facet | Meng, Yu Dang, Jin-Long Liu, Chuan Tuo, Xin-Yu Yan, Haobo Yang, Yi-Bo Zhang, Ke-Long |
| contents | We perform the first lattice calculation on the semileptonic decay of $J/ψ$ using the (2+1)-flavor Wilson-clover gauge ensembles generated by CLQCD collaboration. Three gauge ensembles with different lattice spacings, from 0.0519 fm to 0.1053 fm, and pion masses, $m_π\sim$ 300 MeV, are utilized. After a naive continuum extrapolation using three lattice spacings, we obtain $\operatorname{Br}(J/ψ\rightarrow D_s eν_e)=1.90(6)(5)_{V_{cs}}\times 10^{-10}$ and $\operatorname{Br}(J/ψ\rightarrow D eν_e)=1.21(6)(9)_{V_{cd}}\times 10^{-11}$, where the first errors are statistical, and the second come from the uncertainties of CKM matrix element $V_{cs(d)}$. The ratios of the branching fractions between lepton $μ$ and $e$ are also calculated as $R_{J/ψ}(D_s)=0.97002(8)$ and $R_{J/ψ}(D)=0.97423(15)$ after performing a continuum limit including only $a^2$ term. The ratios provide necessary theoretical support for the future experimental test of lepton flavor universality. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2407_13568 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | First lattice QCD calculation of $J/ψ$ semileptonic decay containing $D$ and $D_s$ particles Meng, Yu Dang, Jin-Long Liu, Chuan Tuo, Xin-Yu Yan, Haobo Yang, Yi-Bo Zhang, Ke-Long High Energy Physics - Lattice High Energy Physics - Experiment High Energy Physics - Phenomenology We perform the first lattice calculation on the semileptonic decay of $J/ψ$ using the (2+1)-flavor Wilson-clover gauge ensembles generated by CLQCD collaboration. Three gauge ensembles with different lattice spacings, from 0.0519 fm to 0.1053 fm, and pion masses, $m_π\sim$ 300 MeV, are utilized. After a naive continuum extrapolation using three lattice spacings, we obtain $\operatorname{Br}(J/ψ\rightarrow D_s eν_e)=1.90(6)(5)_{V_{cs}}\times 10^{-10}$ and $\operatorname{Br}(J/ψ\rightarrow D eν_e)=1.21(6)(9)_{V_{cd}}\times 10^{-11}$, where the first errors are statistical, and the second come from the uncertainties of CKM matrix element $V_{cs(d)}$. The ratios of the branching fractions between lepton $μ$ and $e$ are also calculated as $R_{J/ψ}(D_s)=0.97002(8)$ and $R_{J/ψ}(D)=0.97423(15)$ after performing a continuum limit including only $a^2$ term. The ratios provide necessary theoretical support for the future experimental test of lepton flavor universality. |
| title | First lattice QCD calculation of $J/ψ$ semileptonic decay containing $D$ and $D_s$ particles |
| topic | High Energy Physics - Lattice High Energy Physics - Experiment High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2407.13568 |