Geometric hierarchy

Abstract

We present one approach for solving the gauge hierarchy problem in a grand unified supersymmetric theory. Supersymmetry is broken at a scale of order 1012 GeV. Both the grand scale (∼1019 GeV) and the weak scale are generated via radiative corrections. The main phenomenological features of the model are: (i) the proton decays into K0μ+ and K+νμ and the neutron decays into K0νμ; (ii) the strong GP problem is solved with an invisible axion; (iii) the superpartners of quarks, leptons, gauge and Higgs bosons have masses ∼ 50–100 GeV; and (iv) the lightest superpartner is stable.