Testing Times for Supersymmetry: Looking Under the Lamp Post

TL;DR

This paper critically examines two constrained supersymmetry models in light of recent Higgs and B-meson decay data, finding they remain viable but with specific parameter constraints, and highlights potential for future experimental tests.

Contribution

It provides a comprehensive analysis of cMSSM and NUHM models considering recent experimental results, identifying key parameter restrictions and predicting Higgs decay signatures for future testing.

Findings

Models remain compatible with current data.

Light stop mass pushed above ~500 GeV.

Higgs decay ratios could serve as future tests.

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.