2HDMs with Gauged U(1): Alive or Dead?

This paper investigates Two Higgs Doublet Models (2HDMs) with an additional U(1) gauge symmetry, exploring their phenomenology and constraints from LHC data. The authors find that the simplest models are excluded by four-lepton searches, but introduce vector-like fermions to evade these constraints. They then analyze specific benchmark models (U(1)_H and U(1)_R) and identify allowed parameter space, suggesting future collider experiments can further probe these models.