Beta functions and anomalous dimensions up to three loops
Konstantin Chetyrkin, Mikolaj Misiak, Manfred Muenz
Abstract
We derive an algorithm for automatic calculation of perturbative β-functions and anomalous dimensions in any local quantum field theory with canonical kinetic terms. The infrared rearrangement is performed by introducing a common mass parameter in all the propagator denominators. We provide a set of explicit formulae for all the necessary scalar integrals up to three loops.
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