$B\to D^{(\ast )}$ Form Factors from QCD Light-Cone Sum Rules

Abstract

We derive new QCD sum rules for $B\to D$ and $B\to D^{\ast }$ form factors. The underlying correlation functions are expanded near the light-cone in terms of $B$-meson distribution amplitudes defined in HQET, whereas the $c$-quark mass is kept finite. The leading-order contributions of two- and three-particle distribution amplitudes are taken into account. From the resulting light-cone sum rules we calculate all $B\to \text{Dst}$ form factors in the region of small momentum transfer (maximal recoil). In the infinite heavy-quark mass limit the sum rules reduce to a single expression for the Isgur-Wise function. We compare our predictions with the form factors extracted from experimental $B\to \text{Dst}l{\nu }_l$ decay rates fitted to dispersive parameterizations.

Comments: 20 pages, 6 figures; one reference, one figure and several comments added; version to appear in European Physical Journal C