L. Aparicio, D. G. Cerdeno, L. E. Ibanez
The recent experimental hints for a relatively heavy Higgs with a mass in the
range 119-125 GeV favour supersymmetric scenarios with a large mixing in the
stop mass matrix. It has been shown that this is possible in the constrained
Minimal Supersymmetric Standard Model (CMSSM), but only for a very specific
relation between the trilinear parameter and the soft scalar mass, A ~ -2m, and
sizable values of tan(beta). We describe here a string-derived scheme in which
the first condition is automatic and the second arises as a consequence of
imposing radiative EW symmetry breaking and viable neutralino dark matter in
agreement with WMAP constraints. More specifically, we consider modulus
dominated SUSY-breaking in Type II string compactifications and show that it
leads to a very predictive CMSSM-like scheme, with small departures due to
background fluxes. Imposing the above constraints leaves only one free
parameter, which corresponds to an overall scale. We show that in this
construction $A=-3\sqrt{2}m\approx -2m$ and in the allowed parameter space
tan(beta)=38-41, leading to 119 GeV < m_h < 125 GeV. We determine the
detectability of this model and show that it could start being probed by the
LHC at 7(8) TeV with a luminosity of 5(2) fb^-1, and the whole parameter space
would be accessible for 14 TeV and 25 fb^-1. Furthermore, this scenario can
host a long-lived stau with the right properties to lead to catalyzed BBN. We
finally argue that anthropic arguments could favour the highest value for the
Higgs mass that is compatible with neutralino dark matter, i.e., m_h~125 GeV.
View original:
http://arxiv.org/abs/1202.0822
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