Dark matter origins of neutrino masses

Abstract

We propose a simple scenario that directly connects the dark matter (DM) and neutrino mass scales. Based on an interaction between the DM particle $\ensuremath{\chi}$ and the neutrino $\ensuremath{\nu}$ of the form $\ensuremath{\chi}\ensuremath{\chi}\ensuremath{\nu}\ensuremath{\nu}/{\mathrm{\ensuremath{\Lambda}}}^{2}$, the DM annihilation cross section into the neutrino is determined and a neutrino mass is radiatively induced. Using the observed neutrino mass scale and the DM relic density, the DM mass and the effective scale $\mathrm{\ensuremath{\Lambda}}$ are found to be of the order MeV and GeV, respectively. We construct an ultraviolet-complete toy model based on the inverse seesaw mechanism which realizes this potential connection between DM and neutrino physics.