RGBeta: A Mathematica Package for the Evaluation of Renormalization Group β β-Functions

preprint2021arXivOpen access

Abstract

In completely generic four-dimensional gauge-Yukawa theories, the renormalization group β β-functions are known to the 3-2-2 loop order in gauge, Yukawa, and quartic couplings, respectively. It does, however, remain difficult to apply these results to specific models without the use of dedicated computer tools. We describe a procedure for extracting β β-functions using the general results and introduce RGBeta, a dedicated Mathematica package for extracting the MS‾ \overline{\text{MS}} β β-functions in broad classes of models. The package and example notebooks are available from the GitHub repository at https://github.com/aethomsen/RGBeta .

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