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arXiv · hep-ph/9711266

Beta functions and anomalous dimensions up to three loops

Konstantin Chetyrkin·Mikolaj Misiak·Manfred Muenz
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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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Konstantin Chetyrkin, Mikolaj Misiak, Manfred Muenz. 1997-11-08. Beta functions and anomalous dimensions up to three loops. https://doi.org/10.1016/s0550-3213(98)00122-9

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