  We consider the radiative generation of neutrino mass through the
interactions of neutrinos with MeV dark matter. We construct a realistic
renormalizable model with one scalar doublet and one complex singlet together
with three light singlet Majorana fermions, all transforming under a dark U(1)
symmetry which breaks softly to Z_2. We study in detail the scalar sector which
supports this specific scenario and its rich phenomenology.
