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

Abstract

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.

Comments: Based on talks given by T.H. at the LF(U)V workshop, Zurich, 4.-6.7.2022 and at the LFC22 workshop, Trento, 29.8.-2.9.2022; to appear in the proceedimgs of LFC22