## Self-interacting scalar dark matter with local Z{sub 3} symmetry

We construct a self-interacting scalar dark matter (DM) model with local discrete Z{sub 3} symmetry that stabilizes a weak scale scalar dark matter X. The model assumes a hidden sector with a local U(1){sub X} dark gauge symmetry, which is broken spontaneously into Z{sub 3} subgroup by nonzero VEV of dark Higgs field φ{sub X} ((φ{sub X})≠0). Compared with global Z{sub 3} DM models, the local Z{sub 3} model has two new extra fields: a dark gauge field Z{sup '} and a dark Higgs field φ (a remnant of the U(1){sub X} breaking). After imposing various constraints including the uppermore »