On the B $+AFw-toJ/+AFw-Psi{K}^{\ast }$ Decay

Abstract

We calculate the process- and polarization-dependent nonfactorizable terms $+AFw-widetilde{a}_{+AFw-lambda}$ of the B$+AFw-to$ J$/+AFw-Psi+AFw-rm{K}^{\ast }$ decay within the QCD-improved factorization approach. The longitudinal part $+AFw-widetilde{a}_0$ is infrared convergent and large enough to agree with recent experimental data, provided that the B-K${}^{\ast }$ form factors $A_1(m_{+AFw-Psi}^2)$ and $A_2(m_{+AFw-Psi}^2)$ satisfy some constraints met by many (but not all) models. The transverse parts $+AFw-widetilde{a}_{+AFw-pm}$ on the other hand are infrared divergent, the procedure used to handle such divergence is discussed in relation with the B$+AFw-to$ J$/+AFw-Psi+AFw-rmK$ case in which the same problem arises. Our nonzero phases of the helicity amplitudes are consistent with experimental data recently measured for the first time by the BaBar collaboration.

Comments: 12 pages, no figures