The photon energy spectrum in B-> Xs + γin perturbative QCD through O(αs2)
Kirill Melnikov, Alexander Mitov
Abstract
We derive the dominant part of the O(αs2) correction to the photon energy spectrum in the inclusive decay B-> Xs+gamma. The detailed knowledge of the spectrum is important for relating the theoretical calculations of the B-> Xs + γdecay rate and the experimental measurements where a cut on the photon energy is applied. In addition, moments of the photon energy spectrum are used for the determination of the b-quark mass and other fundamental parameters of heavy quark physics. Our calculation reduces the theoretical uncertainty associated with uncalculated higher orders effects and shows that, for B-> Xs+γ, QCD radiative corrections to the photon energy spectrum are under theoretical control.
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