We study UV complete theories where the Standard Model (SM) gauge group is extended with a new abelian U (1) , and the field content is augmented by an arbitrary number of scalar and fermion SM singlets, potentially including dark matter (DM) candidates. Considerations such as classical and quantum gauge invariance of the full theory and S-matrix unitarity, not applicable within a simplified model approach, are shown to have significant phenomenological consequences. The lack of gauge anomalies leads to compact relations among the U (1) fermion charges, and puts a lower bound on the number of dark fermions. Contrary to naive expectations, the DM annihilation to Zh is found to be p-wave suppressed, as hinted by perturbative unitarity of S-matrix, with dramatic implications for DM thermal relic density and indirect searches. Within this framework, the interplay between dark matter, new vector boson and Higgs physics is rather natural and generic.Introduction. Extra abelian gauge symmetries are among the best motivated extensions to the Standard Model (SM) of particle physics [1]. Spontaneous breaking of such a U (1) symmetry is associated with a massive gauge boson Z that mediates a new type of interaction among SM fields. This Z boson could also provide a portal to the dark matter sector -another robust motivation for physics beyond the SM [2,3]. Extensive studies have pursued this scenario, with simplified models as a commonly employed tool [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23]. Although this approach is advantageous as it allows to study phenomenology with a handful of masses and couplings, some key issues may be missed unless a UV-complete theory is specified.In this paper, we explore the UV-completeness of vector portal models, in particular the implications of the following important theoretical constraints: 1. Classical level gauge invariance of the theory, including the U (1) invariance of SM Yukawa terms. 2. Quantum level gauge invariance of the theory, namely the absence of gauge anomalies. 3. Perturbative unitarity of the S-matrix. These issues, not apparent in a simplified model approach, have profound phenomenological consequences.We focus on U (1) theories where all the new matter fields are SM gauge singlets, and consider an arbitrary number of them. The gauge invariance of the SM Yukawa interactions implies that the SM Higgs doublet H typically carries U (1) charge, unless SM fermions are vector-like under U (1) [24,25]. This in turn implies a deep connection between DM searches and Higgs physics.The cancellation of gauge anomalies is highly nontrivial in a generic U (1) model. Despite the many constraints, we find very compact relations among the dark