QCD CORRECTIONS TO B-]J PSI+ANYTHING

We calculate the branching ratio for B --> J/psi+anything, within the color-singlet approximation for J/psi production, but including pertur bative QCD corrections beyond the leading logarithm approximation. Suc h higher order corrections are necessary, in order to obtain a result that is not strongly dependent on the renormalization scale. As in the earlier work of Bergstrom and Ernstrom, we use a double expansion in alpha(s) and in the small ratio of Wilson coefficients L-0/L-2, to ide ntify the dominant terms in the decay amplitude. We complete their wor k by calculating all the leading order terms in this double expansion. The predicted branching ratio is then B(B-->J/psi+anything) = 0.9(-0. 3)(+1.1) x 10(-3), which is well below the experimental value B-expt = (0.80 +/- 0.08)%. This confirms the suspicion that nonpertubative cor rections to the color-singlet approximation for J/psi production in B decays are important.