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We discuss certain computational methods and analytical techniques that canbe used to automatize the various steps involved in the renormalization groupanalysis of an MSR field theory. The methods rely mainly on the well knownpackages FeynArts and SecDec. The former is used with minor modifications forgenerating the Feynman diagrams and obtaining the corresponding expressions,and the latter for dimensional regularization and epsilon expansion of theFeynman integrals. We first discuss how suitable classes and generic modelfiles required by FeynArts are created, present the minor modifications made inthe internal file Analytic.m, and then show how the diagrams and theexpressions are generated. We then discuss the procedure followed in furthersimplifying the integrals obtained from the Feynman diagrams to render them inthe form of standard scalar Feynman integrals so that the package SecDec can beused to dimensional regularize and epsilon expand them. We discuss thesemethods as it is applied to a particular theory, namely, the NSAPS three-vectormodel. However, they can be easily generalized to be applied to other similarMSR field theories.

Generating and evaluating 1PI Feynman diagrams for an MSR field theory