The complete set of two-loop renormalization group equations in general gauge field theories is presented. This includes the β-functions of parameters with and without a mass dimension.
Two-loop renormalization group equations in the standard model are recalculated. A new coefficient is found in the beta function of the quartic coupling and a class of gauge invariants is found to be absent in the beta functions of hadronic Yukawa couplings. The two-loop beta function of the Higgs mass parameter is presented in complete form.
Two-loop renormalization group equations in gauge theories with multiple U (1) groups are presented. Instead of normalizing the abelian gauge fields in canonical forms, we retain kinetic-mixing terms and treat the mixing coefficients as free parameters. The β-and γ-functions are then obtained in a straightforward manner.
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