Testing Times for Supersymmetry: Looking Under the Lamp Post

Abstract

We make a critical study of two highly-constrained models of supersymmetry --- the constrained minimal supersymmetric standard model (cMSSM), and the non-universal Higgs mass model (NUHM) --- in the light of the 125-126 GeV Higgs boson, the first observation of $B_s\to \mu \mu$ at the LHCb, and the updated $B\to \tau \nu$ 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 $\sim 500$ 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.

Updated version consistent with recent data, a few references added

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