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2021

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

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

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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.

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

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