Introducing RGBeta: a Mathematica package for the evaluation of renormalization group [Formula: see text] -functions

In completely generic four-dimensional gauge-Yukawa theories, the renormalization group [Formula: see text] -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 realistic models without the us...

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Autor principal: Thomsen, Anders Eller
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2021
Materias:
Special Article – Tools for Experiment and Theory
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550498/
https://www.ncbi.nlm.nih.gov/pubmed/34720716
http://dx.doi.org/10.1140/epjc/s10052-021-09142-4
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author Thomsen, Anders Eller
author_facet Thomsen, Anders Eller
author_sort Thomsen, Anders Eller
collection PubMed
description In completely generic four-dimensional gauge-Yukawa theories, the renormalization group [Formula: see text] -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 realistic models without the use of dedicated computer tools. We describe a procedure for extracting [Formula: see text] -functions using the general results and introduce RGBeta, a dedicated Mathematica package for extracting the [Formula: see text] [Formula: see text] -functions in broad classes of models. The package and example notebooks are available from the GitHub repository.
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spelling pubmed-85504982021-10-29 Introducing RGBeta: a Mathematica package for the evaluation of renormalization group [Formula: see text] -functions Thomsen, Anders Eller Eur Phys J C Part Fields Special Article – Tools for Experiment and Theory In completely generic four-dimensional gauge-Yukawa theories, the renormalization group [Formula: see text] -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 realistic models without the use of dedicated computer tools. We describe a procedure for extracting [Formula: see text] -functions using the general results and introduce RGBeta, a dedicated Mathematica package for extracting the [Formula: see text] [Formula: see text] -functions in broad classes of models. The package and example notebooks are available from the GitHub repository. Springer Berlin Heidelberg 2021-05-10 2021 /pmc/articles/PMC8550498/ /pubmed/34720716 http://dx.doi.org/10.1140/epjc/s10052-021-09142-4 Text en © The Author(s) 2021 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) . Funded by SCOAP3
spellingShingle Special Article – Tools for Experiment and Theory
Thomsen, Anders Eller
Introducing RGBeta: a Mathematica package for the evaluation of renormalization group [Formula: see text] -functions
title Introducing RGBeta: a Mathematica package for the evaluation of renormalization group [Formula: see text] -functions
title_full Introducing RGBeta: a Mathematica package for the evaluation of renormalization group [Formula: see text] -functions
title_fullStr Introducing RGBeta: a Mathematica package for the evaluation of renormalization group [Formula: see text] -functions
title_full_unstemmed Introducing RGBeta: a Mathematica package for the evaluation of renormalization group [Formula: see text] -functions
title_short Introducing RGBeta: a Mathematica package for the evaluation of renormalization group [Formula: see text] -functions
title_sort introducing rgbeta: a mathematica package for the evaluation of renormalization group [formula: see text] -functions
topic Special Article – Tools for Experiment and Theory
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550498/
https://www.ncbi.nlm.nih.gov/pubmed/34720716
http://dx.doi.org/10.1140/epjc/s10052-021-09142-4
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