Can $B\to J/ψK(K^*)$ decays be described by factorization ?

Details Can $B\to J/ψK(K^*)$ decays be described by factorization ? Can $B\to J/ψK(K^*)$ decays be described by factorization ?

1996-10-08

arxiv.org/abs/hep-ph/9610283v2

Phys.Lett. B395 (1997) 345-354

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, typos in Eqs.(5) and (16) are corrected

Scientific paper

10.1016/S0370-2693(97)00083-X

The new measurements of $B\to J/\psi K(K^*)$ decays by CDF and CLEO indicate that the production ratio $R$ and the fraction of longitudinal polarization $\Gamma_L/\Gamma$ are smaller than the previous results. In conjunction with the new result of parity-odd transverse polarization in $B\to J/\psi K^*$, we found a minimal modification to the factorization hypothesis: While the data of $B\to J/\psi K^*$ can be accommodated in the factorization approach with nonfactorizable terms $\chi_{A_1} = \chi_{A_2} = \chi_{V} \equiv \chi$ of order 15%, the result of $R$ measurement requires that the nonfactorizable effect $\chi_{F_1}$ on $B\to J/\psi K$ be slightly larger than $\chi$. Therefore, the effective parameter $a_2^{\rm eff}$ is not universal even for $B\to J/\psi K(K^*)$ decays. We have generalized the considerations to $B\to \psi(2S)K(K^*)$ and $B_s\to J/\psi\phi$ and found that the predictions are in agreement with currently available data.

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