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We present the beta functions of gauge and Yukawa couplings in generalfour-dimensional quantum field theory, at four and three loops, respectively.The essence of our approach is fixing unknown coefficients in the most generalansatz for beta-functions by direct calculation in several simplified models.We apply our results to the Standard Model and its extension with an arbitrarynumber of Higgs doublets and provide expressions for all four-loop gaugecouplings beta-functions with matrix Yukawa interactions.

Four-Loop Gauge and Three-Loop Yukawa Beta-Functions in a General Renormalizable Theory