Four Loop Renormalisation Group Equations in general Gross-Neveu-Yukawa Theories

Abstract: 

We compute template formulae of all four-loop β-functions and anomalous dimensions of arbitrary renormalisable quantum field theories with fermions and scalar fields in the \bar{MS} scheme. Using these results, novel contributions to the β-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.

Link to the paper: 

https://arxiv.org/pdf/2507.18710