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| Format: | Preprint |
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2024
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| Online Access: | https://arxiv.org/abs/2408.09087 |
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| _version_ | 1866915054304100352 |
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| author | BESIII Collaboration |
| author_facet | BESIII Collaboration |
| contents | Using 7.93 fb$^{-1}$ of $e^+e^-$ collision data collected at the center-of-mass energy of 3.773 GeV with the BESIII detector, we measure the absolute branching fractions of $D^0\to K^-e^+ν_e$, $D^0\to K^-μ^+ν_μ$, $D^+\to \bar K^0e^+ν_e$, and $D^+\to \bar K^0μ^+ν_μ$ to be $(3.521\pm0.009_{\rm stat.}\pm0.016_{\rm syst.}) \%$, $(3.419\pm0.011_{\rm stat.}\pm0.016_{\rm syst.}) \%$, $(8.864\pm0.039_{\rm stat.}\pm0.082_{\rm syst.}) \%$, and $(8.665\pm0.046_{\rm stat.}\pm0.084_{\rm syst.}) \%$, respectively. By performing a simultaneous fit to the partial decay rates of these four decays, the product of the hadronic form factor $f^K_+(0)$ and the modulus of the $c\to s$ CKM matrix element $|V_{cs}|$ is determined to be $f^K_+(0)|V_{cs}|=0.7171\pm0.0011_{\rm stat.}\pm0.0013_{\rm syst.}$. Taking the value of $|V_{cs}|=0.97349\pm0.00016$ from the standard model global fit or that of $f^K_+(0)=0.7452\pm0.0031$ from the LQCD calculation as input, we derive the results $f^K_+(0)=0.7366\pm0.0011_{\rm stat.}\pm0.0013_{\rm syst.}$ and $|V_{cs}|=0.9623\pm0.0015_{\rm stat.}\pm0.0017_{\rm syst.}\pm0.0040_{\rm LQCD}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_09087 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Improved measurements of $D^0 \to K^-\ell^+ν_\ell$ and $D^+ \to \bar K^0\ell^+ν_\ell$ BESIII Collaboration High Energy Physics - Experiment Using 7.93 fb$^{-1}$ of $e^+e^-$ collision data collected at the center-of-mass energy of 3.773 GeV with the BESIII detector, we measure the absolute branching fractions of $D^0\to K^-e^+ν_e$, $D^0\to K^-μ^+ν_μ$, $D^+\to \bar K^0e^+ν_e$, and $D^+\to \bar K^0μ^+ν_μ$ to be $(3.521\pm0.009_{\rm stat.}\pm0.016_{\rm syst.}) \%$, $(3.419\pm0.011_{\rm stat.}\pm0.016_{\rm syst.}) \%$, $(8.864\pm0.039_{\rm stat.}\pm0.082_{\rm syst.}) \%$, and $(8.665\pm0.046_{\rm stat.}\pm0.084_{\rm syst.}) \%$, respectively. By performing a simultaneous fit to the partial decay rates of these four decays, the product of the hadronic form factor $f^K_+(0)$ and the modulus of the $c\to s$ CKM matrix element $|V_{cs}|$ is determined to be $f^K_+(0)|V_{cs}|=0.7171\pm0.0011_{\rm stat.}\pm0.0013_{\rm syst.}$. Taking the value of $|V_{cs}|=0.97349\pm0.00016$ from the standard model global fit or that of $f^K_+(0)=0.7452\pm0.0031$ from the LQCD calculation as input, we derive the results $f^K_+(0)=0.7366\pm0.0011_{\rm stat.}\pm0.0013_{\rm syst.}$ and $|V_{cs}|=0.9623\pm0.0015_{\rm stat.}\pm0.0017_{\rm syst.}\pm0.0040_{\rm LQCD}$. |
| title | Improved measurements of $D^0 \to K^-\ell^+ν_\ell$ and $D^+ \to \bar K^0\ell^+ν_\ell$ |
| topic | High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2408.09087 |