Light sterile neutrinos in the supersymmetricU(1)′models and axion models

We propose the minimal supersymmetric sterile neutrino model (MSSNM) wherethe sterile neutrino masses are about 1 eV, while the active neutrino massesand the mixings among the active and sterile neutrinos are generated duringlate time phase transition. All the current experimental neutrino data includethe LSND can be explained simultaneously, and the constraints on the sterileneutrinos from the big bang nucleosynthesis and large scale structure can beevaded. To realize the MSSNM naturally, we consider the supersymmetricintermediate-scale U(1)' model, the low energy U(1)' model with a secludedU(1)'-breaking sector, and the DFSZ and KSVZ axion models. In these models, the$\mu$ problem can be solved elegantly, and the 1 eV sterile neutrino masses canbe generated via high-dimensional operators. For the low energy U(1)' modelwith a secluded U(1)'-breaking sector, we also present a scenario in which themasses and mixings for the active and sterile neutrinos are all generatedduring late time phase transition.Comment: RevTex4, 19 pages, References adde