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General Quartic $\beta$-Function at Three Loops

High Energy Physics - Phenomenology 2024-08-13 v1

Abstract

We determine the three-loop MS\overline{\text{MS}} quartic β \beta -function for the most general renormalisable four-dimensional theories. A general parametrization of the β \beta -function is compared to known β \beta -functions for specific theories to fix all coefficients. Three-loop β \beta -functions for the cubic coupling and scalar mass terms also follow from the result, which is made available in software packages.

Keywords

Cite

@article{arxiv.2408.05267,
  title  = {General Quartic $\beta$-Function at Three Loops},
  author = {Tom Steudtner and Anders Eller Thomsen},
  journal= {arXiv preprint arXiv:2408.05267},
  year   = {2024}
}

Comments

30 pages

R2 v1 2026-06-28T18:08:57.487Z