Resolved $1/m_b$ contributions to $\bar{B}\to X_{s,d}{\ell }^{+}{\ell }^{-}$ and $\bar{B}\to X_s\gamma$

Abstract

In view of the importance of the nonperturbative resolved contributions for the overall uncertainties of the two inclusive penguin decays $\bar{B}\to X_s\gamma$ and $\bar{B}\to X_{s,d}{\ell }^{+}{\ell }^{-}$ we reanalyse these contributions using new estimates of moments of the subleading shape functions and of other input parameters. Within a systematic approach we find a significant reduction of the nonperturbative uncertainties in the inclusive decay $\bar{B}\to X_{s,d}{\ell }^{+}{\ell }^{-}$, but a much less pronounced reduction in the inclusive decay $\bar{B}\to X_s\gamma$ compared to a recent analysis on the resolved contributions to the inclusive decay $\bar{B}\to X_s\gamma$. We identify the reasons for this discrepancy.

Comments: minor changes, matches published version