TESTING TIMES FOR SUPERSYMMETRY: LOOKING UNDER THE LAMP POST

We make a critical study of two highly-constrained models of supersymmetry -the constrained minimal supersymmetric standard model (cMSSM), and the nonuniversal Higgs mass (NUHM) model -in the light of the 125-126 GeV Higgs boson, the first observation of B-s ->mu mu at the LHCb, and the updated B ->tau nu branching ratio at BELLE. It turns out that these models are still allowed by the experimental data, even if we demand that there be a light stop with mass less than 1.5 TeV. The only significant effects of all these constraints are to push the mass of the light stop above similar to 500 GeV, and to prefer the universal trilinear coupling A(0) to be large and negative. We calculate the Higgs boson branching ratios to WW, ZZ, tau tau and gamma gamma in these models and show that improved experimental limits on these could put them to the most stringent experimental tests yet.