Infrared structure of $e^+e^- \to 3$ jets at NNLO - the $C_F^2$ contribution

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We discuss the infrared structure of e+e- -> 2 and 3 jets at NNLO in QCD perturbation theory and describe subtraction terms that render the separate parton-level contributions finite. As a first result, we find that the NNLO C_F^2 contribution to the first moment of the Thrust distribution <1-T> = -20.4 +/- 4.
5 pages, Talk given at the 7th DESY Workshop on Elementary Particle Theory: Loops and Legs in Quantum Field Theory, Zinnowitz, Germany April 2004

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