An effective model for charmed meson semileptonic decays

Abstract

We analyze charm meson semileptonic decays using the measured ratios ${\Gamma }_L/{\Gamma }_T$ and ${\Gamma }_{+}/{\Gamma }_{-}$ from $D\to {\bar{K}}^{\ast }$ and the branching ratios for $D\to {\bar{K}}^{\ast }$ and $D\to \bar{K}$. First we introduce the light vector mesons in a model which combines the heavy quark effective Lagrangian and the chiral perturbation approach. We propose a method which predicts the behavior of the form factors. Using the available experimental data we determine the values of some model parameters and reproduce the observed branching ratios for $D_s\to \Phi$, $D_s\to (\eta +{\eta }^{\prime })$ and $D\to \pi$. We make predictions for the yet unmeasured branching ratios and polarization observables.

Comments: 17 pages, Latex file