Determination of Charm-Mixing and Doubly-Cabibbo-Suppressed Decay Parameters with CLEO-c Data

Information about charm mixing and doubly-Cabibbo-suppressed decays, as well as improved precision for measurement of the $D^0$-decay strong phase, can be obtained by combining multiple decay-rate measurements in $\psi(3770) \rightarrow D^0 \overline{D^0}$ events. We use a sample of $\sim 300$pb$^{-1}$ collected with the CLEO-c detector to measure the absolute branching fractions for semileptonic decays of $D^0$ mesons for which flavor and CP properties are inferred from an accompanying hadronic tag and the quantum coherence of the initial $D^{0}\overline {D^{0}}$ pair. We describe the fitting procedure for combining these and hadronic decay measurements, give results for current data, and project the ultimate sensitivity with the full CLEO-c sample for the relative strong phase $\delta$ and mixing amplitude $y$.