Beta functions and anomalous dimensions up to three loops

Abstract

We derive an algorithm for automatic calculation of perturbative $\beta$-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.

22 pages, 4 figures, uses epsf.sty

References in corpus (2)

• The four-loop beta-function in Quantum Chromodynamics
• The 4-loop quark mass anomalous dimension and the invariant quark mass

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