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We discuss the problems that arise when one wishes to extend the existing general methods of computing radiative corrections to QCD jet cross sections to beyond next-to-leading order. Then we present a subtraction scheme that can be defined at any order in perturbation theory. We give a status report of the implementation of the method to computing jet cross sections in electronpositron annihilation at the next-to-next-to-leading order accuracy.

Perturbation theory of computing QCD jet cross sections beyond NLO accuracy