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Higgs Phenomenology Singlets are too heavy to directly test at colliders, so we focus on nature of the SM-like Higgs(h) and doublet-like Higgs(H).  • Couplings of h to down-type quark and leptons are reduced, while those to up-type quarks are slightly increased • Non-decoupling quartic leads H→hh decay beyond its threshold SEMI-SOFT SUSY BREAKING Even after decoupling Sbar for the large SUSY breaking, the effective theory is written by Superfield+ soft SUSY breaking.  • MSSM+S sector + new terms: Keff ⊃ S S +θ θ 2 |M (S + cSμ) | 2 , Weff ⊃Mθ DαSD S (Scalar and F-term of Sbar are reintroduced to form a supefield)

A Natural Higgs Mass in Supersymmetry from Non-Decoupling Effects