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We perform a systematic analysis of standard model extensions with anadditional anomaly-free gauge $U(1)$ symmetry, to generate Dirac neutrinomasses at one loop. Under such symmetry, standard model fields could eithertransform or be invariant, corresponding to an active $U(1)_X$ or a dark$U(1)_D$ symmetry, respectively. Having an anomaly-free symmetry imposesnontrivial conditions to the number and charges of the unavoidable new states.We perform an intensive scan, looking for non-anomalous solutions for givennumber of extra chiral fermions. In particular, we concentrate on solutionsgiving rise to scotogenic neutrino masses via the effective Dirac massoperator. We study the cases where the Dirac mass operator with dimension 5 or6, is mediated by Dirac or Majorana states, and corresponds to an active$U(1)_X$ or a dark $U(1)_D$ symmetry. Finally, we comment on the solutionsfeaturing no massless chiral fermions.

Anomaly-free Abelian gauge symmetries with Dirac scotogenic models