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In this talk, I will discuss several aspects of the BSM physics, mainly focusing on scalar extension and additional. The Inert Three-Higgs Doublet Model (3HDM), with strong theoretical motivations, makes it a compelling extension of the Standard Model (SM). According to the latest literature, the 3HDM not only offers intriguing possibilities to address some of the long-standing shortcomings of the SM, including DM, CP-violation, EWPT, and other early universe physics, but also provides unique phenomenological features. I will highlight a set of distinctive “smoking gun” signatures that could be probed at future collider experiments. These signals have the potential to serve as clear indicators of new physics, guiding us toward a deeper understanding of Beyond Standard Model (BSM) scenarios and shaping future searches in high-energy physics. Alongside, I will also talk about a few other BSM potential scenarios briefly and highlight the possibilities to verify those in future colliders.
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