The NMSSM with F-theory unified boundary conditions

Abstract

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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 H ^sub 2^ can get a mass ... GeV and has properties similar to the SM Higgs. On the other hand the lightest scalar H ^sub 1^, with a dominant singlet component, would have barely escaped detection at LEP and could be observable at LHC as a peak in H ^sub 1^ [arrow right] 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 [beta] is large, of order 50, still the branching ratio for B ^sub s^ [arrow right] [mu] ^sup +^ [mu] ^sup -^ 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 H ^sub 2^ [arrow right] γγ rate over that of the SM Higgs is expected.