Four Loop Renormalisation Group Equations in general Gross-Neveu-Yukawa Theories
High Energy Physics - Theory
2025-10-02 v2 High Energy Physics - Phenomenology
Abstract
We compute template formulae of all four-loop -functions and anomalous dimensions of arbitrary renormalisable quantum field theories with fermions and scalar fields in the scheme. Using these results, novel contributions to the -functions of the Higgs and top coupling are extracted. We discuss how four loops present a challenge to dimensional continuation from four to three dimensions and propose a solution.
Keywords
Cite
@article{arxiv.2507.18710,
title = {Four Loop Renormalisation Group Equations in general Gross-Neveu-Yukawa Theories},
author = {Tom Steudtner},
journal= {arXiv preprint arXiv:2507.18710},
year = {2025}
}
Comments
v2: match published version