Reduction of couplings in a finite GUT and the MSSM

Abstract

We apply the method of reduction of couplings in a Finite Unified Theory and in the MSSM. The method consists on searching for renormalization group invariant relations among couplings of a renormalizable theory holding to all orders in perturbation theory. In both cases we predict the masses of the top and bottom quarks and the light Higgs in remarkable agreement with the experiment. Moreover, we predict the masses of the other Higgses too, as well as the supersymmetric spectrum, the latter being in very confortable agreement with the LHC bounds on supersymmetric particles.