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

Abstract

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