RGBeta: A Mathematica Package for the Evaluation of Renormalization Group $\beta$-Functions

Abstract

In completely generic four-dimensional gauge-Yukawa theories, the renormalization group $\beta$-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 $\beta$-functions using the general results and introduce RGBeta, a dedicated Mathematica package for extracting the $\overline{\text{MS}}$ $\beta$-functions in broad classes of models. The package and example notebooks are available from the GitHub repository at https://github.com/aethomsen/RGBeta .

Comments: 27 pages, 3 tables. The package, tutorial notebook, and sample files are available at https://github.com/aethomsen/RGBeta