Can $B\to J/\psi K(K^{\ast })$ decays be described by factorization ?

Abstract

The new measurements of $B\to J/\psi K(K^{\ast })$ 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 $B\to J/\psi K^{\ast }$, we found a minimal modification to the factorization hypothesis: While the data of $B\to J/\psi K^{\ast }$ 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 $a_2^{\mathrm{eff}}$ is not universal even for $B\to J/\psi K(K^{\ast })$ decays. We have generalized the considerations to $B\to \psi (2S)K(K^{\ast })$ and $B_s\to J/\psi \varphi$ and found that the predictions are in agreement with currently available data.

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

References in corpus (1)

• Mesonic Form Factors and the Isgur-Wise Function on the Light-Front

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