The 14 TeV LHC takes aim at SUSY: a No-Scale supergravity model for LHC Run 2

The supergravity model named No-Scale $F-SU\left(5\right)$, which is based upon the flipped SU(5) grand unified theory (GUT) with additional TeV-scale vector-like flippon multiplets, has been partially probed during the Large Hadron Collider Run 1 at 7–8 TeV, though the majority of its model space remains viable and should be accessible by the 13–14 TeV LHC during Run 2. The model framework possesses the rather unique capacity to provide a light CP-even Higgs boson mass in the favored 124–126 GeV window while simultaneously retaining a testably light supersymmetry spectrum. We summarize the outlook for No-Scale $F-SU\left(5\right)$ at the 13–14 TeV LHC and review a promising methodology for the discrimination of its long-chain cascade decay signature. We further show that proportional dependence of all model scales upon the unified gaugino mass $M_{1/2}$ minimizes electroweak fine-tuning, allowing the Z-boson mass M_Z to be expressed as an explicit function of $M_{1/2}$, $M_Z^2=M_Z^2\left(M_{1/2}^2\right)$, with implicit dependence upon a dimensionless ratio c of the supersymmetric Higgs mixing parameter μ and $M_{1/2}$. Finally, we elucidate an empirical connection between recent scalar tensor measurements and No-Scale supergravity cosmological models that mimic the Starobinsky model of inflation. (invited comment)