{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/rgbeta-a-mathematica-package-for-the","title":"RGBeta: A Mathematica Package for the Evaluation of Renormalization Group $ β$-Functions","arxiv_id":"2101.08265","date":"2021-01-20","proceeding":null,"authors":["Anders Eller Thomsen"],"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 .","url_abs":"https://arxiv.org/abs/2101.08265v1","url_pdf":"https://arxiv.org/pdf/2101.08265v1.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"links_only","authors_date_abstract":"arXiv metadata, CC0 1.0 (https://info.arxiv.org/help/license), from the Kaggle arXiv metadata snapshot of 2026-09-12"},"code_links":[{"paper_slug":"rgbeta-a-mathematica-package-for-the","repo_url":"https://github.com/aethomsen/rgbeta","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":1,"framework":"none","reach":null},{"paper_slug":"rgbeta-a-mathematica-package-for-the","repo_url":"https://github.com/apik/RGBeta","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}