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 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.
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