The discovery of the Higgs boson in 2012 by the LHC experiments, ATLAS and CMS, was celebrated enthusiastically by the world. The new datasets from 2015-16 have solidified that discovery, further establishing the H(125 GeV) to be Standard Model (SM)-like. Nevertheless, explorations of the Higgs sector beyond the SM are important, as they often involve additional scalar and pseudo-scalar particles. We are making significant headway in mapping out the details of the Higgs sector already, searching for heavier Higgs bosons and rare decays of the H(125). This scalar Higgs sector could also be a portal to the "dark" sector, which we know little about from particle physics point of view. This talk will discuss the latest status of the CMS Higgs sector exploration.
Further exploration of Higgs sector is promising, but is experimentally challenging, due to low energies of the Higgs decay products.
Implications for future improvements needed for the experimental facilities will also be briefly discussed.