Useful ratios between two-body nonleptonic and semileptonic decays of $B$ mesons

Abstract

We compute important ratios between decay widths of some exclusive two-body nonleptonic and semileptonic $B$ decays, which could be test of factorization hypothesis. We also present a summary of the expressions of the decay widths and differential decay rates of these decays, at tree level, including $l=0$ (ground state), $l=1$ (orbitally excited) and $n=2$ (radially excited) mesons in the final state. From a general point of view, we consider eight transitions, namely $H \to P, V, S, A, A^{'}, T, P(2S), V(2S)$. Our analysis is carried out assuming factorization hypothesis and using the WSB, ISGW and CLFA quark models.