The simultaneous evolution of masses and couplings: consequences on supersymmetry spectra and thresholds

Summary

We use the Renormalization Group Equations to work out, at the one-loop level, the simultaneous evolution of all masses and couplings and show explicitly the self-consistency of the whole scheme. A thorough examination is performed of the light Supersymmetry threshold in the Minimal Supersymmetric extension of the Standard Model (MSSM). All fundamental quantitiesα _GUT,M _GUT,α ₃(m _Z),α ₂(m _Z),α ₁(m _Z) (consequently sin² θ(m _Z)) are given in terms of the detailed spectrum of all particle and sparticle thresholds. Examples of Supersymmetry spectra are given as function ofα ₃(m _Z) and of the other essential parameters. The results of this study, where the evolution of masses is extended to all possible masses, confirm our previous conclusions on the EGM effect for the Supersymmetry threshold lower bound. Examples of the predictive power of our method are given.