Neutrino masses and the gluino axion model

Abstract

We extend the recently proposed gluino axion model to include neutrino masses. We discuss how the canonical seesaw model and the Higgs triplet model may be realized within this framework. In the former case, the heavy singlet neutrinos are contained in superfields which do not have any vacuum expectation value, whereas the gluino axion is contained in one which does. We also construct a specific renormalizable model which realizes the mass scale relationship M_SUSY~f_a²/M_U, where f_a is the axion decay constant and M_U is a large effective mass parameter.