Abstract
We present exact results, at next-to-leading order in renormalization-group improved perturbation theory, for the Wilson coefficients appearing at order 1/ m Q in the heavy-quark expansion of heavy–light current operators. To this end, we complete the calculation of the corresponding two-loop anomalous dimension matrix. Our results are important for determinations of | V ub | using exclusive and inclusive semileptonic B decays. They are also relevant to computations of the decay constant f B based on a heavy-quark expansion.
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