On the B $ +AFw-to J/+AFw-Psi K^* $ Decay
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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.
12 pages, no figures
12 pages, no figures