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arXiv · 2110.05496

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

Joshua Davies·Florian Herren·Anders Eller Thomsen
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Abstract

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

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Joshua Davies, Florian Herren, Anders Eller Thomsen. 2021-10-11. General Gauge-Yukawa-Quartic $\beta$-Functions at 4-3-2--Loop Order. https://doi.org/10.1007/jhep01(2022)051

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