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Corrections to Moments of the Photon Spectrum in the Inclusive Decay B \to X_s γ

We investigate the two main uncertainties on the extraction of the nonperturbative matrix elements $\barΛ$ and $λ_1$ from moments of the inclusive rare FCNC decay $B \to X_s γ$. The first one is due to unknown matrix elements of higher dimensional operators which are estimated by varying the matrix elements in a range as suggested by dimensional analysis. The effect of these terms is found to be small. A second uncertainty arises from a cut on the photon energy and we give model independent bounds on these uncertainties as well as their estimates from a simplified version of the ACCMM model.