Theory space of supersymmetry in view of LHC data on Higgs and SUSY mass limits

Abstract

An analysis of the theory space of supergravtiy unified models with and without non-universalities is carried out in view of the LHC data and the Higgs boson mass at ~ 126 GeV. Aside from the limits placed on the allowed parameter space of supergravity unified models due to the non-observation of supersymmetric particles thus far and the large loop correction needed to lift the tree value of the Higgs boson mass from below the Z boson mass to the observed value, the data also have implications for the nature of radiative breaking of the electroweak symmetry. Thus the current data points to the radiative breaking occurring on the Hyperbolic Branch. This branch consists of three sub regions: These are the Focal Point region, Focal Curves, and Focal Surfaces. It is seen that most of the parameter space consistent with all the theoretical and experimental constraints lies on Focal Curves and Focal Surfaces while the Focal Point region is highly depleted. The LHC data on sparticle mass limits and the Higgs mass measurement also have important implications for the supersymmetric decay lifetime of the proton. It is shown that the proton decay lifetime Ƭ(p → v + K+) is strongly correlated with the Higgs boson mass and the measurement of the Higgs boson mass at ~ 126 GeV enhances the p → v + K+ lifetime removing significantly the tension in supersymmetric grand unified models due to the non-observation of this mode thus far.