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Next-to-next-to-leading order calculations for heavy-to-light decays

arXiv:hep-ph/0503039 · doi:10.1103/PhysRevD.71.054004 10.1103/PhysRevD.79.019901

Abstract

We present technical aspects of next-to-next-to-leading order calculations for heavy-to-light decays such as top quark decay, semileptonic b quark decay into a u quark, muon decay, and radiative decays like b -> s gamma. Algebraic reduction of integrals to a set of master integrals is described, methods of determining the master integrals are presented, and a complete list of master integrals is given. As a sample application, the top quark decay width is calculated to O(alpha_s^2) accuracy.

12 pages, corrected typos in the appendix