Study of the $D_s \to ϕ\ell ν_\ell$ semileptonic decay with (2+1)-flavor lattice QCD
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2025
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| author | Fan, Gaofeng Meng, Yu Liu, Chuan Liu, Zhaofeng Shen, Tinghong Wang, Ting-Xiao Zhang, Ke-Long Zhang, Lei |
| author_facet | Fan, Gaofeng Meng, Yu Liu, Chuan Liu, Zhaofeng Shen, Tinghong Wang, Ting-Xiao Zhang, Ke-Long Zhang, Lei |
| contents | We present a systematic lattice calculation of the $D_s \to ϕ\ell ν_\ell$ semileptonic decay using (2+1)-flavor Wilson-clover fermion configurations generated by the CLQCD collaboration. Seven gauge ensembles with different lattice spacings, from $0.052~\text{fm}$ to $0.105~\text{fm}$, and different pion masses, from about $210~\text{MeV}$ to $320~\text{MeV}$ are utilized, enabling us to take both the continuum limit and physical pion mass extrapolation. The ratios of form factors are obtained to be $r_V=1.614(19)$ and $r_2=0.741(31)$, with the precision improved by up to an order of magnitude compared to previous lattice studies. The branching fractions are given as $\mathcal{B}(D_s\toϕeν_e)=2.493(66)_{\text{stat}}(31)_{|V_{cs}|}\times 10^{-2}$ and $\mathcal{B}(D_s\toϕμν_μ)=2.351(60)_{\text{stat}}(29)_{|V_{cs}|}\times 10^{-2}$. The corresponding ratio of the branching fractions between the lepton $μ$ and $e$ is given by $\mathcal{R}_{μ/e}=0.9432(13)$, which provides essential theoretical support for future high-precision experimental tests of the lepton flavor universality. The CKM matrix element $|V_{cs}|$ is also extracted to be $0.952(12)_{\text{stat}}(23)_{\text{PDG}}$ and $0.945(12)_{\text{stat}}(24)_{\text{PDG}}$ for the $μ$ and $e$ channels, respectively. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2510_14478 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Study of the $D_s \to ϕ\ell ν_\ell$ semileptonic decay with (2+1)-flavor lattice QCD Fan, Gaofeng Meng, Yu Liu, Chuan Liu, Zhaofeng Shen, Tinghong Wang, Ting-Xiao Zhang, Ke-Long Zhang, Lei High Energy Physics - Lattice High Energy Physics - Experiment We present a systematic lattice calculation of the $D_s \to ϕ\ell ν_\ell$ semileptonic decay using (2+1)-flavor Wilson-clover fermion configurations generated by the CLQCD collaboration. Seven gauge ensembles with different lattice spacings, from $0.052~\text{fm}$ to $0.105~\text{fm}$, and different pion masses, from about $210~\text{MeV}$ to $320~\text{MeV}$ are utilized, enabling us to take both the continuum limit and physical pion mass extrapolation. The ratios of form factors are obtained to be $r_V=1.614(19)$ and $r_2=0.741(31)$, with the precision improved by up to an order of magnitude compared to previous lattice studies. The branching fractions are given as $\mathcal{B}(D_s\toϕeν_e)=2.493(66)_{\text{stat}}(31)_{|V_{cs}|}\times 10^{-2}$ and $\mathcal{B}(D_s\toϕμν_μ)=2.351(60)_{\text{stat}}(29)_{|V_{cs}|}\times 10^{-2}$. The corresponding ratio of the branching fractions between the lepton $μ$ and $e$ is given by $\mathcal{R}_{μ/e}=0.9432(13)$, which provides essential theoretical support for future high-precision experimental tests of the lepton flavor universality. The CKM matrix element $|V_{cs}|$ is also extracted to be $0.952(12)_{\text{stat}}(23)_{\text{PDG}}$ and $0.945(12)_{\text{stat}}(24)_{\text{PDG}}$ for the $μ$ and $e$ channels, respectively. |
| title | Study of the $D_s \to ϕ\ell ν_\ell$ semileptonic decay with (2+1)-flavor lattice QCD |
| topic | High Energy Physics - Lattice High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2510.14478 |