Problems of QCD factorization in exclusive decays of B meson to charmonium
Abstract
We study the exclusive decays of B meson into P-wave charmonium states chi_{cJ}(J=0,1) within QCD factorization approach and find that for B --> chi_{c1} K decay, the factorization breaks down due to logarithmic divergences arising from nonfactorizable spectator interactions even at twist-2 order, and the decay rate is too small to accommodate the data, and that for B --> chi_{c0} K decay, there are infrared divergences arising from nonfactorizable vertex corrections as well as logarithmic divergences due to spectator interactions even at leading-order. Our results, together with the problem in B --> J/psi K decay, indicate that QCD factorization can not be safely applied to the exclusive decays of B meson to charmonium.Keywords
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