The NMSSM with F-theory unified boundary conditions

We study the phenomenological viability of a constrained NMSSM with parameters subject to unified boundary conditions from F-theory GUTs. We find that very simple assumptions about modulus dominance SUSY breaking in F-theory unification lead to a predictive set of boundary conditions, consistent with all phenomenological constraints. The second lightest scalar Higgs H2 can get a mass m H 2 ≃125 mH2≃125 GeV and has properties similar to the SM Higgs. On the other hand the lightest scalar H1, with a dominant singlet component, would have barely escaped detection at LEP and could be observable at LHC as a peak in H1 → γγ at around 100 GeV. The LSP is mostly singlino and is consistent with WMAP constraints due to coannihilation with the lightest stau, whose mass is in the range 100 − 250 GeV. Such light staus may lead to very characteristic signatures at LHC and be directly searched at linear colliders. In these models tan β is large, of order 50, still the branching ratio for Bs → μ+μ− is consistent with the LHCb bounds and in many cases is also even smaller than the SM prediction. Gluinos and squarks have masses in the 2−3 TeV region and may be accessible at the LHC at 14TeV. No large enhancement of the H2 → γγ rate over that of the SM Higgs is expected.