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Although the Higgs boson was discovered at LHC in 2012, the shape of the Higgs sector, the dynamics of electroweak symmetry breaking and the aspect of the electroweak phase transition remain unknown. They are related to the direction of new physics beyond the standard model. In this talk we discuss how we may be able to explore the Higgs sector using current and future experiments. First, we discuss fingerprinting the Higgs sector by using future precision measurement at HL-LHC and future Higgs factories. We then discuss how we can explore the shape of the Higgs potential and aspect of first order phase transition using future collider experiments, gravitation observation, and exploration of primordial blackholes.