Abstract
We systematically establish the hyper-surface within the tanβ, top quark mass mt, universal gaugino mass M1/2, and vector-like mass MV parameter volume which is compatible with the application of the no-scale supergravity boundary conditions, particularly the vanishing of the Higgs bilinear soft term Bμ, near to the Planck mass at the point MF of ultimate F-lipped SU(5) unification. MF is elevated from the penultimate partial unification near the traditional GUT scale at a mass M32 by the inclusion of extra F-theory derived heavy vector-like multiplets. We demonstrate that simultaneous adherence to all current experimental constraints, most importantly contributions to the muon anomalous magnetic moment (g−2)μ, the branching ratio limit on (b→sγ), and the 7-year WMAP relic density measurement, dramatically reduces the allowed solutions to a highly non-trivial “golden strip” with tanβ≃15, mt=173.0–174.4 GeV, M1/2=455–481 GeV, and MV=691–1020 GeV, effectively eliminating all extraneously tunable model parameters. We emphasize that the consonance of the theoretically viable mt range with the experimentally established value is an independently correlated “postdiction”. The predicted range of MV is testable at the Large Hadron Collider (LHC). The partial lifetime for proton decay in the leading (e|μ)+π0 channels falls around 4.6×1034 Y, testable at the future DUSEL and Hyper-Kamiokande facilities.
Highlights
We find the emergent restriction of MV to just a rather light range which may be probed by the Large Hadron Collider (LHC) to be quite noteworthy
Succinctly dubbed No-Scale F -SU (5) [5,6,7,8,9], of the F -lipped SU (5) Grand Unified Theory (GUT) [19] supplemented by F theory derived vector-like multiplets at the TeV scale, provides the essential rationale; The accompanying modification to the gauge coupling renormalization group equations (RGEs) naturally separates M32 ≃ 1.0 × 1016 GeV, near the traditional GUT scale, from MF ≃ 7.5 × 1017GeV, approaching the reduced Planck mass [5,6,7], at which point the No-Scale boundary conditions fit like hand to glove
We have continued and extended our prior study [1] of No-Scale Supergravity in the context of a F -lipped SU (5) × U (1)X GUT supplemented with F -theory derived TeV-scale vector-like particles
Summary
We have recently demonstrated [1] the existence of a model dubbed No-Scale F -SU (5), resting essentially and in equal measure on the tripodal foun-. Succinctly dubbed No-Scale F -SU (5) [5,6,7,8,9], of the F -lipped SU (5) GUT [19] supplemented by F theory derived vector-like multiplets at the TeV scale, provides the essential rationale; The accompanying modification to the gauge coupling renormalization group equations (RGEs) naturally separates M32 ≃ 1.0 × 1016 GeV, near the traditional GUT scale, from MF ≃ 7.5 × 1017GeV, approaching the reduced Planck mass [5,6,7], at which point the No-Scale boundary conditions fit like hand to glove In this scenario, we introduce the following two pairs of vector-like Flipped SU (5) × U (1)X multiplets near the TeV scale [5].
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