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October 16, 2025Journal of High Energy PhysicsOpen Access

Four loop renormalisation group equations in general Gross-Neveu-Yukawa theories

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Authors

TSTom SteudtnerTU Dortmund University

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Implication

Calculations of β-functions and anomalous dimensions in quantum field theories demonstrate challenges and solutions specific to four-loop computations.

Key Points

  • Novel contributions to the β-functions of the Higgs and top coupling are extracted from four-loop equations.
  • The study computes all four-loop β-functions and anomalous dimensions in the context of quantum field theories.
  • It highlights challenges related to dimensional continuation from four to three dimensions in theoretical calculations.
  • The use of the $$ \overline{MS} $$ scheme is essential for ensuring the renormalisation of these quantum field theories.

Cite This Study

Tom Steudtner (2025) studied this question.

synapsesocial.com/papers/68f0ba59c50c73ebef9faa65https://doi.org/10.1007/jhep10(2025)096
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Also Consider

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  1. 1The five-loop Beta function for a general gauge group and anomalous dimensions beyond Feynman gauge2017 · 161 citations