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General gauge-Yukawa-quartic β-functions at 4-3-2-loop order

Davies, Joshua·Herren, Florian·Thomsen, Anders Eller
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Abstract

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

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDSBeyond standard modelQuark masses and SM parametersRenormalization group

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Davies, Joshua, Herren, Florian, Thomsen, Anders Eller. 2022-01-12. General gauge-Yukawa-quartic β-functions at 4-3-2-loop order. https://doi.org/10.1007/jhep01(2022)051

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