$\rho$ Polarization and `Model Independent' Extraction of $|V_{ub}|/|V_{cd}|$ from $D\to\rho\ell\nu$ and $B\to\rho\ell\nu$

Abstract

We briefly discuss the predictions of the heavy quark effective theory for the semileptonic decays of a heavy pseudoscalar to a light one, or to a light vector meson. We point out that measurement of combinations of differential helicity decay rates at Cleo-c and the $B$ factories can provide a model independent means of extracting the ratio $|V_{ub}|/|V_{cd}|$. We briefly discuss the corrections to this prediction.