English

General Gauge-Yukawa-Quartic $\beta$-Functions at 4-3-2--Loop Order

High Energy Physics - Phenomenology 2022-01-26 v1 High Energy Physics - Theory

Abstract

We determine the full set of coefficients for the completely general 4-loop gauge and 3-loop Yukawa β \beta -functions for the most general renormalizable four-dimensional theories. Using a complete parametrization of the β \beta -functions, we compare the general form to the specific β \beta -functions of known theories to constrain the unknown coefficients. The Weyl consistency conditions provide additional constraints, completing the determination.

Keywords

Cite

@article{arxiv.2110.05496,
  title  = {General Gauge-Yukawa-Quartic $\beta$-Functions at 4-3-2--Loop Order},
  author = {Joshua Davies and Florian Herren and Anders Eller Thomsen},
  journal= {arXiv preprint arXiv:2110.05496},
  year   = {2022}
}

Comments

27 pages, 519 tensor structures and coefficients

R2 v1 2026-06-24T06:48:14.103Z