Abstract
With the 8 TeV LHC run now concluded, the first consequences of the experimental results on the supersymmetric parameter space can be drawn. On one hand, the negative direct searches place more and more stringent bounds on the mass of supersymmetric particles; on the other hand, the discovery of a 125 GeV Higgs boson points toward a quite heavy spectrum for the squarks of the third generation, at least in the minimal supersymmetric model. In this note I will briefly recap how this constitutes a problem for the naturalness of supersymmetric models, as well as the current experimental situation. Moreover, I will point out possible non minimal models in which the naturalness issue can be at least soften.
Highlights
After the discovery of a scalar particle with mass around 125 GeV and properties closely resembling those of the Standard Model (SM) Higgs boson [1, 2], the long standing problem of the stability of fundamental scalar masses has become more acute than ever
In the pure SM, the largest contribution is given by the top quark, being it the particle most strongly coupled to the Higgs boson
The main result that emerges from colliders is the impressive agreement between the Standard Model and experimental data
Summary
The structure of supersymmetric theories is too well known to be discussed in detail here. 1 Let us just stress the features essential for our discussion. EPJ Web of Conferences terms in the lagrangian modifies once more the RGE for any scalar squared mass, in particular those relevant for the Higgs boson mass. They can be written as dm2h d log μ βm2S US Y. where m2S US Y is the scale of SUSY breaking. A2 is any soft parameter that enters in the determination of the Higgs mass (or equivalently, of the EW scale), and 1/∆ measures the amount of tuning of the theory. The Higgsino mass μ, on the other hand, must be in the 200 GeV ballpark: such a low mass scale is due to the fact that this parameter enters in the determination of the Higgs mass already at tree level, and is more constrained than the parameters entering only at loop level
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