NNLO QCD corrections to B -> X_s gamma

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Current status of the NNLO QCD corrections to B -> X_s gamma is reviewed. The calculations include three-loop matching conditions, four-loop anomalous dimensions as well as two- and three-loop on-shell amplitudes. Certain parts of the three-loop matrix elements are found by interpolation in the charm quark mass between the large-beta_0 approximation in the m_c=0 case and the complete result in the m_c >> m_b/2 case.
4 pages, 2 figures. Talk presented at the 40th Rencontres de Moriond, La Thuille, March 2006. References and numerical results are updated

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