Determination of the angle gamma using B -> D* V modes

Abstract

We propose a method to determine the angle $\gamma =arg(V_{ub})$, using the $B\to D^{\ast }V$ ($V=K^{\ast },\rho$) modes. The $D^{\ast }$ is considered to decay to $D\pi$. An interference of the $B\to D^{\ast 0}V$ and $B\to \overline{D^{\ast 0}}V$ amplitudes is achieved by looking at a common final state $f$, in the subsequent decays of $D^0/\overline{D^0}$. A detailed analysis of the angular distribution, allows determination, not only of $\gamma$ and $|V_{ub}|$, but also all the hadronic amplitudes and strong phases involved. No prior knowledge of doubly Cabibbo suppressed branching ratios of $D$ are required. Large CP violating asymmetries ($\sim 30$ for $\gamma =30^o$) are possible if $\overline{D^0}\to f$ is doubly Cabbibo suppressed, while $D^0\to f$ is Cabbibo allowed, for decays of $B^{+}$ or $B^0$.

Comments: 12 Pages Revtex