Problems of QCD factorization in exclusive decays of B meson to charmonium

We study the exclusive decays of B meson into P-wave charmonium states χcJ (J=0,1) in the QCD factorization approach with light-cone distribution functions describing the mesons in the processes. For B→χc1K decay, we find that there are logarithmic divergences arising from nonfactorizable spectator interactions even at twist-2 order and the decay rate is too small to accommodate the experimental data. For B→χc0K decay, we find that aside from the logarithmic divergences arising from spectator interactions at leading-twist order, more importantly, the factorization will break down due to the infrared divergence arising from nonfactorizable vertex corrections, which is independent of the specific form of the light-cone distribution functions. Our results may indicate that QCD factorization in the present form may not be safely applied to B-meson exclusive decays to charmonium states.