We study the exclusive decays of $B$ meson into P-wave charmonium states$\chi_{cJ}(J=0,1)$ in the QCD factorization approach with light-conedistribution functions describing the mesons in the processes. For $B \to\chi_{c1} K$ decay, we find that there are logarithmic divergences arising fromnonfactorizable spectator interactions even at twist-2 order and the decay rateis too small to accommodate the experimental data. For $B\to \chi_{c0} K$decay, we find that aside from the logarithmic divergences arising fromspectator interactions at leading-twist order, more importantly, thefactorization will break down due to the infrared divergence arising fromnonfactorizable vertex corrections, which is independent of the specific formof the light-cone distribution functions. Our results may indicate that QCDfactorization in the present form may not be safely applied to $B$-mesonexclusive decays to charmonium states.
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机译：我们用光导分布函数描述了该过程中的介子，研究了QB分解方法中的$ B $介子到P波charmonium状态$ \ chi_ {cJ}（J = 0,1）$的唯一衰变。对于$ B \ to \ chi_ {c1} K $衰减，我们发现即使在扭曲2阶下，不可分解的观众交互作用也会产生对数散度，并且衰减率太小而无法容纳实验数据。对于$ B \到\ chi_ {c0} K $衰变，我们发现除了因超前扭曲次序的旁观者交互作用引起的对数发散外，更重要的是，由于不可分解的顶点校正引起的红外发散，分解将分解。与光锥分布函数的特定形式无关。我们的结果可能表明，当前形式的QCDfactorization可能不能安全地应用于$ B $-魅族状态的中共排斥衰变。
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