General quartic β-function at three loops

doi:10.1007/JHEP10(2024)163

General quartic β-function at three loops

2024-10-23

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Tom Steudtner

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Anders Eller Thomsen *

DOI：10.1007/JHEP10(2024)163

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We determine the three-loop MS\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \overline{\textrm{MS}} $$\end{document} quartic beta-function for the most general renormalisable four-dimensional theories. A general parametrisation of the beta-function is compared to known beta-functions for specific theories to fix all coefficients. Three-loop beta-functions for the cubic coupling and scalar mass terms also follow from the result, which is made available in software packages.

Keywords:

Renormalization Group

Renormalization and Regularization

General quartic β-function at three loops

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