Perturbative corrections to power suppressed effects in semileptonic B decays

We compute the $O(α_s)$ corrections to the Wilson coefficient of the chromomagnetic operator in inclusive semileptonic B decays. The results are employed to evaluate the complete $O(α_s Λ^2/m_b^2)$ correction to the semileptonic width and to the first moments of the lepton energy distribution.

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