In this note we briefly review our recent studies on a 125 GeV Higgs and its
di-photon signal rate in different low energy supersymmetric models, namely the
minimal supersymmetric standard model (MSSM), the next-to-minimal
supersymmetric standard model (NMSSM), the nearly minimal supersymmetric
standard model (nMSSM) and the constrained MSSM. Our conclusion is: (i) In the
allowed parameter space the SM-like Higgs boson can easily be 125 GeV in the
MSSM, NMSSM and nMSSM, while it is hard to realize in the constrained MSSM;
(ii) The di-photon Higgs signal rate in the nMSSM and constrained MSSM is
suppressed relative to the prediction of the SM, while the signal rate can be
enhanced in the MSSM and NMSSM; (iii) The NMSSM may allow for a lighter
top-squark than the MSSM, which can thus ameliorate the fine-tuning problem.Comment: 16 pages, 8 figures,version in Advances in High Energy Physic
