Prospects for Discovery of Supersymmetric No-Scale F-SU(5) at The Once and Future LHC

Abstract

We present the reach of the Large Hadron Collider (LHC) into the parameter space of No-Scale F-SU(5), starting our analysis with the current operating energy of \sqrt{s} = 7 TeV, and extending it on through the bright future of a 14 TeV beam. No-Scale F-SU(5) is a model defined by the confluence of the F-lipped SU(5) Grand Unified Theory, two pairs of hypothetical TeV scale vector-like supersymmetric multiplets with origins in F-theory, and the dynamically established boundary conditions of No-Scale Supergravity. When searching for a five standard deviation signal, we find that the CMS experiment at the \sqrt{s} = 7 TeV LHC began to penetrate the phenomenologically viable parameter space of this model at just under 1/fb of integrated luminosity, and that the majority of this space remains intact, subsequent to analyses of the first 1.1/fb of CMS data. On the contrary, the ATLAS experiment had not reached the F-SU(5) parameter space in its first 1.34/fb of luminosity. Since the CMS and ATLAS detectors have now each amassed a milestone of 5/fb of collected luminosity, the current LHC is presently effectively probing No-Scale F-SU(5). Upon the crossing of the 5/fb threshold, the 7 TeV LHC will have achieved five standard deviation discoverability for a unified gaugino mass of up to about 532 GeV, a light stop of 577 GeV, a gluino of 728 GeV, and heavy squarks of just over 1 TeV. Extending the analysis to include a future LHC center-of-mass beam energy of \sqrt{s} = 14 TeV, the full model space of No-Scale F-SU(5) should be visible to CMS at about 30/fb of integrated luminosity. We stress that the F-SU(5) discoverability thresholds discussed here are contingent upon retaining only those events with nine jets or more for the CMS experiment and seven jets or more for the ATLAS experiment.