NNLO splitting and coefficient functions with time-like kinematics

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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Presented by A.M. at Loops and Legs in Quantum Field Theory, 23-28 April 2006, Eisenach, Germany

Scientific paper

10.1016/j.nuclphysbps.2006.09.02

We discuss recent results on the three-loop (next-to-next-to-leading order, NNLO) time-like splitting functions of QCD and the two-loop (NNLO) coefficient functions in one-particle inclusive e+e- annihilation. These results form the basis for extracting fragmentation functions for light and heavy flavors with NNLO accuracy that will be needed at the LHC and ILC. The two-loop calculations have been performed in Mellin space based on a new method, the main features of which we also describe briefly.

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