The Golden Point of No-Scale and No-Parameter $\mathcal{F}$-SU(5)

Abstract

The $\mathcal{F}$-lipped $SU(5)\times U(1{)}_X$ Grand Unified Theory (GUT) supplemented by TeV-scale vector-like particles from $\mathcal{F}$-theory, together dubbed $\mathcal{F}$-SU(5), offers a natural multi-phase unification process which suggests an elegant implementation of the No-Scale Supergravity boundary conditions at the unification scale $M_{\mathcal{F}}\simeq 7\times 10^{17}$ GeV. Enforcing the No-Scale boundary conditions, including $B_{\mu }(M_{\mathcal{F}})=0$ on the Higgs bilinear soft term, with the precision 7-year WMAP value on the dark matter relic density isolates a highly constrained "golden point" located near $M_{1/2}=455$ GeV and $\tan \beta =15$ in the $\tan \beta -M_{1/2}$ plane, which simultaneously satisfies all known experiments, and moreover corresponds to an imminently observable proton decay rate. Because the universal gaugino mass is actually determined from established low energy data via Renormalization Group Equation (RGE) running, there are no surviving arbitrary scale parameters in the present model.

4 pages, 3 figures, PRD Version

References in corpus (4)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Estimate of BR(B -> X_s gamma) at O(alpha_s^2)
• Testable Flipped SU(5) x U(1)_X Models
• Resurrecting No-Scale Supergravity Phenomenology

Cited by in corpus (10)

• The Golden Strip of Correlated Top Quark, Gaugino, and Vectorlike Mass In No-Scale, No-Parameter F-SU(5)
• Constrained Supersymmetric Flipped SU(5) GUT Phenomenology
• A 125.5 GeV Higgs Boson in F-SU(5): Imminently Observable Proton Decay, A 130 GeV Gamma-ray Line, and SUSY Multijets & Light Stops at the LHC8
• Testing No-Scale F-SU(5): A 125 GeV Higgs Boson and SUSY at the 8 TeV LHC
• Resolving the $(g-2{)}_{\mu }$ Discrepancy with $\mathcal{F}$-$SU$(5) Intersecting D-branes
• The Return of the King: No-Scale $\mathcal{F}$-$SU(5)$
• Spinning No-Scale $\mathcal{F}$-$SU$(5) in the Right Direction
• The Right-Handed Slepton Bulk Region for Dark Matter in Generalized No-scale $\mathcal{F}$-$SU(5)$ with Effective Super-Natural Supersymmetry
• The Analytical One-Loop Contributions to Higgs Boson Mass in the Supersymmetric Standard Model with Vector-like Particles
• Light right-handed Smuons at the LHC: Natural dark matter and $g_{\mu }-2$ in an unexplored realm of the pMSSM