Radiative breaking of Peccei-Quinn symmetry at the intermediate mass scale

We construct a supersymmetric (SUSY) extension of an invisible axion model, in which the Peccei-Quinn symmetry is broken naturally at the intermediate mass scale 10¹⁰-10¹² GeV by radiative corrections from right-handed neutrino loops. The SUSY-invariant mass of doublet Higgs supermultiplets is forbidden by the Peccei-Quinn symmetry, whose breaking, however, generates an invariant Higgs mass of the order of the Fermi scale. In this model the right-handed neutrinos acquire large Majorana masses which are in a favored range for the Mikheyev-Smirnov-Wolfenstein solution to the solar neutrino problem.