In this thesis, we will study dark matter phenomenology in few different aspects. First, we study the complex scalar dark matter phenomenology in Gauged Two Higgs Doublet Model (G2HDM). The model has additional gauge $SU(2)_H\times U(1)_X$ that will leave an accidental $\mathbb{Z}_2$ symmetry after symmetry braking, which protects the stability of dark matter. We choose the scalar dark matter for our study, which can further categorized into doublet-like, triplet-like, and Goldstone-like dark matter by their composition of mixing elements. We test these dark matter by current constraints from PLANCK and XENON$1$T experiments. In the second part we study the dark matter search by means of the popular Higgs pair search in collider with an effective model. We use jet substructure technique for better resolution to find our signal from tremendous backgrounds at the LHC, and project the discovery rate for the High-Luminosity LHC.

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