Improved measurements of $D^0\to K^{-}{\ell }^{+}{\nu }_{\ell }$ and $D^{+}\to {\bar{K}}^0{\ell }^{+}{\nu }_{\ell }$

Abstract

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 $D^0\to K^{-}{e}^{+}{\nu }_e$, $D^0\to K^{-}{\mu }^{+}{\nu }_{\mu }$, $D^{+}\to {\bar{K}}^0{e}^{+}{\nu }_e$, and $D^{+}\to {\bar{K}}^0{\mu }^{+}{\nu }_{\mu }$ to be $(3.521\pm 0.009_{stat.}\pm 0.016_{syst.})\%$, $(3.419\pm 0.011_{stat.}\pm 0.016_{syst.})\%$, $(8.864\pm 0.039_{stat.}\pm 0.082_{syst.})\%$, and $(8.665\pm 0.046_{stat.}\pm 0.084_{syst.})\%$, 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 $f_{+}^K(0)|V_{cs}|=0.7171\pm 0.0011_{stat.}\pm 0.0013_{syst.}$. Taking the value of $|V_{cs}|=0.97349\pm 0.00016$ from the standard model global fit or that of $f_{+}^K(0)=0.7452\pm 0.0031$ from the LQCD calculation as input, we derive the results $f_{+}^K(0)=0.7366\pm 0.0011_{stat.}\pm 0.0013_{syst.}$ and $|V_{cs}|=0.9623\pm 0.0015_{stat.}\pm 0.0017_{syst.}\pm 0.0040_{\mathrm{LQCD}}$.

32 pages, 9 figures, 30 tables

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• Measurement of the $D\to K^{-}{\pi }^{+}$ strong phase difference in $\psi (3770)\to D^0\overline{D}{}^0$
• Direct measurement of the absolute branching fraction for $D^{+}\to {\bar{K}}^0{\mu }^{+}{\nu }_{\mu }$ and determination of $\Gamma (D^0\to K^{-}{\mu }^{+}{\nu }_{\mu })/\Gamma (D^{+}\to {\bar{K}}^0{\mu }^{+}{\nu }_{\mu })$

Cited by in corpus (3)

• Observation of $D^{+}\to {\eta }^{\prime }{\mu }^{+}{\nu }_{\mu }$ and First Study of $D^{+}\to {\eta }^{\prime }{\ell }^{+}{\nu }_{\ell }$ Decay Dynamics
• First Measurement of the Decay Dynamics in the Semileptonic Transition of the $D^{+(0)}$ into the Axial-vector Meson ${\bar{K}}_1(1270)$
• Exclusive semileptonic decays of $D$ and $D_s$ mesons into orbitally and radially excited states of strange and light mesons