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We consider a minimal extension of the Standard Model which advocates a darkneutrino sector charged under a hidden $U(1)^\prime$. We show that neutrinomasses can arise radiatively in this model. The observed values are compatiblewith a light dark sector below the electroweak scale and would imply new heavyfermions which may be testable in the next generation of beam dump searches atDUNE, NA62 and SHIP.

Neutrino Masses from a Dark Neutrino Sector below the Electroweak Scale