Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2007-02-15
Eur.Phys.J.C51:833-839,2007
Physics
High Energy Physics
High Energy Physics - Phenomenology
Changed content partially, Added references, 16 pages,2 figures
Scientific paper
10.1140/epjc/s10052-007-0333-4
In this paper we study the semileptonic decays of the $B_c$ meson in the Light-Cone Sum Rule (LCSR) approach. The result for each channel depends on the corresponding distribution amplitude of the final meson. For the case of $B_c$ decaying into a pseudoscalar meson, to twist-3 accuracy only the leading twist distribution amplitude (DA) is involved if we start from a chiral current. If we choose a suitable chiral current in the vector meson case, the main twist-3 contributions are also eliminated and we can consider the leading twist contribution only. The leading twist distribution amplitudes of the charmonium and other heavy mesons are given by a model approach in the reasonable way. Employing this charmonium distribution amplitude we find the cross section $\sigma(e^+e^-\to J/\psi+\eta_c)\simeq22.8 {fb}$ which is consistent with Belle and BaBar's data. Based on this model, we calculate the form factors for various $B_c$ decay modes in the corresponding regions. Extrapolating the form factors to the whole kinetic regions, we get the decay widths and branching ratios for various $B_c$ decay modes including their $\tau$ modes when they are kinematically accessible.
Huang Tao
Zuo Fen
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