On the B $ +AFw-to J/+AFw-Psi K^* $ Decay

Abstract

We calculate the process- and polarization-dependent nonfactorizable terms $+AFw-widetilde{a}_{+AFw-lambda}$ of the B$+AFw-to$ J$/+AFw-Psi {+AFw-rm K^*}$ 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$^*$ form factors $A_1(m^2_{+AFw-Psi})$ and $A_2(m^2_{+AFw-Psi})$ 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$/+AFw-Psi {+AFw-rm K}$ 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.