Implication of Higgs at 125 GeV within Stochastic Superspace Framework
  We revisit the issue of considering stochasticity of Grassmannian coordinates
in N=1 superspace, which was analyzed previously by Kobakhidze {\it et al}. In
this stochastic supersymmetry(SUSY) framework, the soft SUSY breaking terms of
the minimal supersymmetric Standard Model(MSSM) such as the bilinear Higgs
mixing, trilinear coupling as well as the gaugino mass parameters are all
proportional to a single mass parameter \xi, a measure of supersymmetry
breaking arising out of stochasticity. While a nonvanishing trilinear coupling
at the high scale is a natural outcome of the framework, a favorable signature
for obtaining the lighter Higgs boson mass $m_h$ at 125 GeV, the model produces
tachyonic sleptons or staus turning to be too light. The previous analyses took
$\Lambda$, the scale at which input parameters are given, to be larger than the
gauge coupling unification scale $M_G$ in order to generate acceptable scalar
masses radiatively at the electroweak scale. Still this was inadequate for
obtaining $m_h$ at 125 GeV. We find that Higgs at 125 GeV is highly achievable
provided we are ready to accommodate a nonvanishing scalar mass soft SUSY
breaking term similar to what is done in minimal anomaly mediated SUSY breaking
(AMSB) in contrast to a pure AMSB setup. Thus, the model can easily accommodate
Higgs data, LHC limits of squark masses, WMAP data for dark matter relic
density, flavor physics constraints and XENON100 data. In contrast to the
previous analyses we consider $\Lambda=M_G$, thus avoiding any ambiguities of a
post-grand unified theory physics. The idea of stochastic superspace can easily
be generalized to various scenarios beyond the MSSM . PACS Nos: 12.60.Jv,
04.65.+e, 95.30.Cq, 95.35.+d
