Precision Measurements of the Semileptonic Charm Decays $D^0\to {\pi }^{-}{\ell }^{+}\nu$ and $D^0\to K^{-}{\ell }^{+}\nu$

Abstract

We investigate the decays $D^0\to {\pi }^{-}{\ell }^{+}\nu$ and $D^0\to K^{-}{\ell }^{+}\nu$, where $\ell$ is $e$ or $\mu$, using approximately 7 ${\mathrm{fb}}^{-1}$ of data collected with the CLEO III detector. We find $R_0\equiv \mathcal{B}(D^0\to {\pi }^{-}{e}^{+}\nu )/\mathcal{B}(D^0\to K^{-}{e}^{+}\nu )=0.082\pm 0.006\pm 0.005$. Fits to the kinematic distributions of the data provide parameters describing the form factor of each mode. Combining the form factor results and $R_0$ gives $|f_{+}^{\pi }(0){|}^2|V_{cd}{|}^2/|f_{+}^K(0){|}^2|V_{cs}{|}^2=0.038_{-0.007-0.003}^{+0.006+0.005}$.

5 pages, 2 figures, talk given at DPF'04, UC Riverside, CA

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