Narrow Results

We briefly review the status of motivated beyond-the-MSSM phenomenology in the light of the LHC searches to date. In particular, we discuss the conceptual consequences of the exclusion bounds, of the hint for a Higgs boson at about 125 GeV, and of interpreting the excess of direct CP violation in the charm sector as a signal of New Physics. We try to go into the various topics in a compact way while providing a relatively rich list of references, with particular attention to the most recent developments.

We demonstrate that natural supersymmetry is readily realized in the framework of SU(4)_c ×SU(2)_L ×SU(2)_R with nonuniversal gaugino masses. Focusing on ameliorating the little hierarchy problem, we explore the parameter space of this model which yields small fine-tuning measuring parameters (natural supersymmetry) at the electroweak scale (Δ_EW) as well as at high scale (Δ_HS). It is possible to have both Δ_EW and Δ_HS less than 100 in these models, (2% or better fine-tuning), while keeping the light CP-even (Standard Model-like) Higgs mass in the 123–127 GeV range. The light stop quark mass lies in the range , and the range for the light stau lepton mass is . The first two family squarks are in the mass range , and for the gluino we find . We do not find any solution with natural supersymmetry which yields significant enhancement for Higgs production and decay in the diphoton channel.