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The Two Higgs Doublet model augmented with a complex scalar singlet (2HDMS)is a well-motivated candidate for Beyond Standard Model (BSM) Physics. Weinvestigate the dark matter phenomenology of the 2HDMS with the complex scalarsinglet as the dark matter candidate. We perform a study of the parameter spaceallowed by existing experimental constraints from dark matter, flavour physicsand collider searches. The distinction between real and complex scalar darkmatter in the context of the 2HDMS is also performed. Furthermore, we discussthe discovery potential for the 2HDMS at the HL-LHC and at future high-energy$e^+e^-$ colliders.

Phenomenology of the Dark Matter sector in the 2HDM extended with Complex Scalar Singlet