Beta functions and anomalous dimensions up to three loops

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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22 pages, 4 figures, uses epsf.sty

Scientific paper

10.1016/S0550-3213(98)00122-9

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.

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