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We report on recent progress in the field of nonlocal (so-called resolved)contributions to the inclusive penguin decays which presently belong to thelargest uncertainties in these inclusive decay modes. There is still a verylarge scale and a large charm mass dependence in the present leading orderresults which can in the future be decreased by including the $\alpha_s$corrections.

Recent progress on the nonlocal power corrections to the inclusive penguin decays $\bar B \to X_s \gamma$ and $\bar B \to X_s \ell\ell$