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Fakultät Physik

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

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  • Hiller
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Abstract:

We compute template formulae of all four-loop β-functions and anomalous dimensions of arbitrary renormalizable 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