Renormalization group equations for softly broken supersymmetry: The most general case

The renormalization group equations are derived for the most general gauge theory with softly broken supersymmetry. When specialized to the case that global supersymmetry breakdown is induced by spontaneously broken supergravity, the results exhibit new features which are important when applied to models which go beyond the simplest standard model with minimal particle content. As an application the renormalization group equations are given for a standard model with four Higgs doublets as well as for the minimal standard model including generation mixing, both in the framework of broken supergravity.