Non-Abelian vector dark matter and lepton g-2

The mystery of dark matter remains an unsettled problem particle physics. On top that, experiments show a persistent contention the muon anomalous magnetic moment (AMM) relative to Standard Model (SM) prediction. In this work, we consider possibility extending SM with non-Abelian gauge symmetry $SU(2)_X$, under which leptons transform non-trivially. receive corrections their AMMs right order via one-loop processes mediated by beyond (BSM) fermions required cancel anomalies, and BSM bosons that play role matter. We simultaneous explanation AMM along reproducing correct relic abundance allows rather narrow range 0.5 - 2 TeV mass, consistent current experimental constraints. However, concurrent description also includes electron is challenging in set-up.