A chiral model for sterile neutrino

A model, which extends the standard model with a new chiral U(1)${}^{\mathrm{\prime }}$ gauge symmetry sector, for the eV-mass sterile neutrino is constructed. It is basically fixed by anomaly free conditions. The lightness of the sterile neutrino has a natural explanation. As a by product, this model provides a WIMP-like dark matter candidate.