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

Zhongzhi Song·Kuang-Ta Chao
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Abstract

We study the exclusive decays of $B$ meson into P-wave charmonium states $χ_{cJ}(J=0,1)$ in the QCD factorization approach with light-cone distribution functions describing the mesons in the processes. For $B \to χ_{c1} K$ 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 $B\to χ_{c0} K$ 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.

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Zhongzhi Song, Kuang-Ta Chao. 2003-07-23. Problems of QCD factorization in exclusive decays of B meson to charmonium. https://doi.org/10.1016/j.physletb.2003.06.062

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