Abstract
In this note, we calculate the branching ratio of B_c\to J/ψK in the framework of perturbative QCD approach based on k_T factorization. This decay can occur only via tree level diagrams in the Standard Model. We find that the branching ratio of B_c\to J/ψK is about (1-3)\times10^{-4}. The large branching ratio and the clear signals of the final states make the measurement of B_c\to J/ψK easily at LHC-b experiments.
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