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

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