Neutrino masses at v3/2

Theories in which neutrino masses are generated by a conventional see-saw mechanism generically yield masses which are O(v2) in units where MPl = 1, which is naively too small to explain the results from SuperKamiokande. In supersymmetric theories with gravity mediated supersymmetry breaking, the fundamental small parameter is not v/MPl, but mI/MPl, where mI is the scale of supersymmetry breaking in the hidden sector. We note that mI3/MPl2 is only slightly too large to explain SuperKamiokande, and present two models that achieve neutrino masses at this order in mI, one of which has an additional suppression λτ2, while the other has additional suppression arising from a loop factor. The latter model shares a great deal of phenomenology with a class of models previously explored, including the possibility of viable sneutrino dark matter