English

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 β\beta-functions and anomalous dimensions of arbitrary renormalisable quantum field theories with fermions and scalar fields in the MS\overline{\text{MS}} scheme. Using these results, novel contributions to the β\beta-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