Manimala Chakraborti, Utpal Chattopadhyay, Rohini M. Godbole
Effect of considering stochasticity of Grassmannian coordinates in N=1 superspace was analyzed previously in the so called stochastic superspace framework of Kobakhidze et. al.. This naturally leads to the expected soft breaking terms of MSSM. The soft parameters like that of bilinear Higgs mixing, trilinear coupling as well as gaugino masses are proportional to a single mass parameter $\xi$, a measure of supersymmetry breaking arising out of the stochasticity. The soft parameters were given at a scale $\Lambda$ that is in between the gauge coupling unification scale $M_G$ and the Planck scale $M_P$. A non-vanishing trilinear coupling parameter is a natural outcome of the stochastic superspace framework. There is however no scalar field soft term at this scale. Confronted with tachyonic sleptons, scalar masses at the electroweak scale could only be radiatively generated if $\Lambda>M_G$. The model as such can not accommodate the lighter Higgs boson at 125 GeV. We extend the scope of this model in relation to the recent Higgs discovery, LHC limits of strongly interacting sparticle masses, WMAP data for dark matter, flavour physics constraints and XENON100 data by a simple and phenomenologically motivated addition of a non-vanishing scalar mass parameter at the high scale. In contrast to the previous analyses we consider $\Lambda=M_G$, thus avoiding any ambiguities of a post-GUT physics.
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http://arxiv.org/abs/1211.1549
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