Supersymmetric mass spectrum in SU(5) supergravity grand unification

Abstract

A detailed analysis of predictions of SU(5) supergravity grand unification within the framework of radiative breaking of SU(2)×U(1) is given. The masses of the 31 new supersymmetric particles depend on only four parameters. The full parameter space is explored and found to be strongly restricted by proton decay bounds if one requires no extreme fine tuning and the Higgs triplet mass to be ≤3${\mathit{M}}_{\mathit{G}}$. The 31 sparticle masses are then strongly correlated, e.g., ${\mathit{m}}_{\mathit{W}\mathrm{̃}1}$≲1/3${\mathit{m}}_{\mathit{g}\mathrm{̃}}$, ${\mathit{m}}_{\mathit{W}\mathrm{̃}1}$≃${\mathit{M}}_{\mathit{Z}\mathrm{̃}2}$≃2${\mathit{m}}_{\mathit{Z}\mathrm{̃}1}$, ${\mathit{m}}_{\mathit{h}}$≲110 GeV.