Phys. Rev. D 79, 052010 (2009) - Study of ${D}^{0}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{\ensuremath{-}}{e}^{+}{\ensuremath{\nu}}_{e}$, ${D}^{+}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{0}{e}^{+}{\ensuremath{\nu}}_{e}$, ${D}^{0}\ensuremath{\rightarrow}{K}^{\ensuremath{-}}{e}^{+}{\ensuremath{\nu}}_{e}$, and ${D}^{+}\ensuremath{\rightarrow}{\overline{K}}^{0}{e}^{+}{\ensuremath{\nu}}_{e}$ in tagged decays of the $\ensuremath{\psi}(3770)$ resonance

Study of $D^{0} \to π^{-} e^{+} ν_{e}$ , $D^{+} \to π^{0} e^{+} ν_{e}$ , $D^{0} \to K^{-} e^{+} ν_{e}$ , and $D^{+} \to {\bar{K}}^{0} e^{+} ν_{e}$ in tagged decays of the $ψ (3770)$ resonance

J. Y. Ge et al. (CLEO Collaboration)

Phys. Rev. D 79, 052010 – Published 25 March 2009

Abstract

Using $ψ (3770) \to D \bar{D}$ events collected with the CLEO-c detector at the Cornell $e^{+} e^{-}$ storage ring, tagged by fully reconstructing one $D$ meson in a hadronic decay mode, we measure absolute branching fractions and differential decay rates for $D^{0} \to π^{-} e^{+} ν_{e}$ , $D^{+} \to π^{0} e^{+} ν_{e}$ , $D^{0} \to K^{-} e^{+} ν_{e}$ , and $D^{+} \to {\bar{K}}^{0} e^{+} ν_{e}$ . The measured decay rates are used to study semileptonic form factors governing these transitions and to test unquenched Lattice QCD (LQCD) calculations. We average our results with previously published CLEO-c measurements of the same quantities using a neutrino reconstruction technique. Combining LQCD calculations of form factor absolute normalizations $f_{+} (0)$ and measurements of $f_{+}^{π} (0) | V_{c d} |$ and $f_{+}^{K} (0) | V_{c s} |$ , we find $| V_{c d} | = 0.222 (8) (3) (23)$ and $| V_{c s} | = 1.018 (10) (8) (106)$ , where the uncertainties are statistical, experimental systematic, and from LQCD, respectively.