Nonfactorizable contributions to $B$ meson decays into charmonia

We analyze the $B\to (J/ψ, χ_{c0},χ_{c1},η_c)K^{(*)}$ decays, which have small or even vanishing branching ratios in naive factorization assumption (FA). We calculate nonfactorizable corrections to FA in the perturbative QCD approach based on $k_T$ factorization theorem. The charmonium distribution amplitudes are inferred from the non-relativistic heavy quarkonium wave functions. It is found that the nonfactorizable contributions enhance the branching ratios and generate the relative phases among helicity amplitudes of the above modes. Most of the observed branching ratios, polarization fractions, and relative phases, except those of $B\toη_c K$, are explained. Our predictions for the $B\to (χ_{c0},χ_{c1},η_c)K^*$ decays can be compared with future data.

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