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Nonfactorizable $B\toχ_{c0}K$ decay and QCD factorization

Ce Meng·Ying-Jia Gao·Kuang-Ta Chao
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Abstract

We study the unexpectedly large rate for the factorization-forbidden decay $B\to χ_{c0}K$ within the QCD factorization approach. We use a non-zero gluon mass to regularize the infrared divergences in vertex corrections. The end-point singularities arising from spectator corrections are regularized and carefully estimated by the off-shellness of quarks. We find that the contributions arising from the vertex and leading-twist spectator corrections are numerically small, and the twist-3 spectator contribution with chiral enhancement and linear end-point singularity becomes dominant. With reasonable choices for the parameters, the branching ratio for $B\toχ_{c0}K$ decay is estimated to be in the range $(2-4)\times 10^{-4}$, which is compatible with the Belle and BaBar data.

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Ce Meng, Ying-Jia Gao, Kuang-Ta Chao. 2006-09-13. Nonfactorizable $B\toχ_{c0}K$ decay and QCD factorization. https://doi.org/10.1088/0253-6102%2F48%2F5%2F026

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