Phenomenological predictions of the SO(10) supersymmetric grand unified model

Abstract

The phenomenological predictions of the SO(10) supersymmetric grand unified model (SO(10) SGUM) for the mass scales M 1, M 2, weak angle ifsin 2 θ w, quark-leptons mass ratios m b m τ , m t m b , m τ m ν τ and proton lifetime τ p are estimated by using renormalization group analysis at one-loop level. In contrast with SU(5) SGUM, we find that the SO(10) SGUM still has problems with τ p but not with sin 2 θ w and m b m τ , which may suggest that supersymmetry would be bro at a mass scale ⪆10 7 GeV .