Anomaly-free Abelian gauge symmetries with Dirac seesaws

Abstract

We perform a systematic analysis of Standard Model extensions with an additional anomaly-free gauge $U(1)$ symmetry, to generate tree-level Dirac neutrino masses. An anomaly-free symmetry demands nontrivial conditions on the charges of the unavoidable new states. An intensive scan was performed, looking for solutions generating neutrino masses by the type-I and type-II tree-level Dirac seesaw mechanism, via operators with dimension 5 and 6, that correspond to active or dark symmetries. Special attention was paid to the cases featuring no extra massless chiral fermions or multicomponent dark matter with unconditional stability.

arXiv comment13+3 pages, 2 figures. V2: Typos corrected. Matches version accepted for publication in EPJC. arXiv admin note: substantial text overlap with arXiv:2102.06211

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