Astrophysical observations provide strong evidence for the existence of dark matter. Many beyond the standard model theories predict the existence of dark matter particle candidates that can be produced and detected at high energy colliders, driving experimental searches at the CERN Large Hadron Collider. After the discovery of the standard model Higgs boson, we can probe the dark sector using this handle. In this talk, I will present a search for dark matter produced in association with the standard model Higgs boson using data collected by the CMS experiment at LHC. Higgs decay to a bottom quark-antiquark pair is reconstructed to identify events of interest. The analysis is performed in exclusive categories targeting both Lorentz-boosted (merged) and resolved b-pair topologies, covering a wide range of Higgs boson transverse momentum. Constraints are placed on dark matter models predicting new particles or interactions, such as those in the simplified frameworks of baryonic-Z' and 2HDM+a. In the second part of the talk, I will talk about the muon collider, a proposed collider post High Luminosity LHC which offers great potential for high energy physics research.