B --> D(D^*) Form Factors in a Bethe-Salpeter model

Abstract

We calculate the form factors for the semileptonic decays of the $B$ meson to $D$ and $D^{\ast }$ mesons in a Bethe-Salpeter model. We show that our model is consistent with the constraints of Heavy Quark Effective Theory (HQET) and we extract the matrix elements that represent the $1/m_Q$ corrections to the form factors in HQET. With available data, we obtain $V_{cb}$=$(31.9\pm 1.4)\times 10^{-3}$.

Comments: 15 pages, 5 figures