The nature of Dark Matter (DM) remains one of the greatest puzzles in particle physics and cosmology. While overwhelming observational evidence across galactic and cosmological scales confirms its existence, decades of experiments have only verified its gravitational interaction. Key properties of DM "such as its spin, mass, non-gravitational interactions, stabilizing symmetry, number of associated states, and mediating particles linking DM to Standard Model interactions" remain unknown.
To address these challenges, we propose a systematic classification of Dark Matter models based on mediator multiplets with varying spins and weak group charges. Additionally, we introduce a novel class of models "Fermionic Portal Vector Dark Matter (FPVDM)" that extends the Standard Model with an SU(2) dark gauge sector. FPVDM offers important implications for direct and indirect detection experiments, relic density, and collider searches.
Examples of DM models from this classification will be discussed, alongside prospects for current and future experiments to test them. In particular, we have identified novel multi-lepton collider signatures and new opportunities for Dark-Photon searches, suggesting them as promising directions for further exploration in probing DM interactions. This talk will argue that a systematic classification of DM models and their experimental signatures provides a robust framework for discovering and identifying Dark Matter in the near future.