Unification of Dynamical Determination and Bare Minimal Phenomenological Constraints in No-Scale F-SU(5)

Abstract

We revisit the construction of the viable parameter space of No-Scale F-SU(5), a model built on the F-lipped SU(5)xU(1)_X gauge group, supplemented by a pair of F-theory derived vector-like multiplets at the TeV scale, and the dynamically established boundary conditions of No-Scale Supergravity. Employing an updated numerical algorithm and a substantially upgraded computational engine, we significantly enhance the scope, detail and accuracy of our prior study. We sequentially apply a set of "bare-minimal" phenomenological constraints, consisting of i) the dynamically established boundary conditions of No-Scale Supergravity, ii) consistent radiative electroweak symmetry breaking, iii) precision LEP constraints on the light supersymmetric mass content, iv) the world average top-quark mass, and v) a light neutralino satisfying the 7-year WMAP cold dark matter relic density measurement. The overlap of the viable parameter space with key rare-process limits on the branching ratio for b to s gamma and the muon anomalous magnetic moment is identified as the "golden strip" of F-SU(5). A cross check for top-down theoretical consistency is provided by application of the "Super No-Scale" condition, which dynamically selects a pair of undetermined model parameters in a manner that is virtually identical to the corresponding phenomenological (driven primarily by the relic density) selection. The predicted vector-like particles are candidates for production at the future LHC, which is furthermore sensitive to a distinctive signal of ultra-high multiplicity hadronic jets. The lightest CP-even Higgs boson mass is predicted to be 120+3.5-1 GeV, with an additional 3-4 GeV upward shift possible from radiative loops in the vector-like multiplets. The predominantly bino flavored lightest neutralino is suitable for direct detection by the Xenon collaboration.