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A bstract 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.
Davies et al. (Sat,) studied this question.
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