Pathways to naturally small Dirac neutrino masses

If neutrinos are truly Dirac fermions, the smallness of their masses may still be natural if certain symmetries exist beyond those of the standard model of quarks and leptons. We perform a systematic study of how this may occur at tree level and in one loop. We also propose a scotogenic version of the left–right gauge model with naturally small Dirac neutrino masses in one loop.