SUSY and Higgs Searches at the LHC and Future Collider

Even though the discovery of the Higgs boson is breakthrough for the models
beyond the Standard Model, it has also led to a strong impact especially in
supersymmetric models. Considering the lack of a direct signal, the LHC
yields significant constraints especially on the supersymmetric particles
and the Higgs boson searches within the supersymmetric models. In the talk,
we discuss the current status and future prospects on the supersymmetric
particles such as stop, electroweakinos, sleptons and the Higgs bosons. We
also present the possible impact from the last three on muon anomalous
magnetic moment implications within the supersymmetric models. At the end,
we discuss on probing light Higgs bosons (~ 30 GeV) in Two Higgs Doublet
Models and compare with those realized in the supersymmetric framework.