S to P wave form factors in semi-leptonic B decays

Abstract

We apply HQET to semi-leptonic $B$ and $B_s$ meson decays into the observed charmed $P$ wave states. In order to examine the sensitivity of the results to the choice of a specific model, we perform all calculations using several different meson models, and find that uncertainty introduced by the choice of a particular model is about 30\%. Specifically, assuming ${\tau }_B=1.50ps$ and $V_{cb}=0.040$, we obtain branching ratios of $(0.27\pm 0.08)\%$ and $(0.45\pm 0.14)\%$ for $B\text{rar}{D}_{1}l{\bar{\nu }}_l$ and $B\text{rar}{D}_2^{\ast }l{\bar{\nu }}_l$ decays, respectively.

Comments: Latex (uses epsf macro), 36 pages of text, 11 postscript figures included