B rightarrow J/ psi (pi ,K) Decays within QCD Factorization Approach

We used qcd factorization for the hadronic matrix elements to show that the existing data, in particular the branching ratios br (b (rightwards arrow) j/ψk) and br ( b(righwards arrow) j/ψπ), can be accounted for this approach. we analyzed the decay b(rightwards arrow) j /ψk (π) within the framework of qcd factorization. we have complete calculation of the relevant hard-scattering kernels for twist-2 and twist-3. we calculated this decays in a special scale ( μ = mb ) and in two schemes for wilson coefficients in nlo. we considered three functions for j /ψ . the twist-3 contribution involves logarithmically divergent integral and also we considered ph=0 canceling divergent. the obtained results are in agreement with available experimental data.