Anomaly-free 2HDMs with a gauged abelian symmetry and two generations of right-handed neutrinos

TL;DR

This paper classifies all anomaly-free two-Higgs-doublet models with gauged abelian symmetry and two right-handed neutrino generations, identifying 16 valid models, 11 of which align with current experimental data, a novel comprehensive analysis.

Contribution

It provides the first complete classification of anomaly-free 2HDMs with gauged abelian symmetry and two right-handed neutrinos, including models consistent with experiments.

Findings

Identified 16 anomaly-free models with two right-handed neutrino generations.

Found 11 models compatible with current experimental bounds.

Proposed models have not been previously considered in literature.

Abstract

Despite the popularity of two-Higgs-doublet models (2HDMs) with a gauged abelian flavor symmetry, the allowed Yukawa textures have only been partly explored so far. In this work, we classify and compare every anomaly-free instance, in the case of having two generations of right-handed neutrinos and a type-I seesaw mechanism. We found 16 valid implementations in total, out of which 11 agree well with current experimental bounds. To our knowledge, neither of these models have been considered previously.