Update of the nonlocal sub-leading $O_1$-$O_7$ contribution to $\bar{B}\to X_s\gamma$ at LO

Abstract

In all previous calculations of the non-local sub-leading contribution to the inclusive penguin decay $\bar{B}\to X_s\gamma$ due to the interference of the electroweak operators $O_1^c$ - $O_{7\gamma }$ the local Voloshin term was subtracted. In view of the ongoing analysis at order ${\alpha }_s$, we present a calculation of the complete non-local contribution which takes into account the high correlation between the uncertainties of the local Voloshin and the non-local term of the previous analyses. The new calculation has a high impact on the range of the non-local contribution.

Comments: 9 pages, latex, new version corresponds to the version to be published in PRD