We describe a methodology for testing No-Scale Supergravity by the LAT instrument onboard the Fermi Space Telescope via observation of gamma ray emissions from lightest supersymmetric ( SUSY ) neutralino annihilations .
For our test vehicle we engage the framework of the supersymmetric grand unified model No-Scale Flipped SU ( 5 ) with extra vector-like flippon multiplets derived from F-Theory , known as \cal { F } - SU ( 5 ) .
We show that through compression of the light stau and light bino neutralino mass difference , where internal bremsstrahlung ( IB ) photons give a dominant contribution , the photon yield from annihilation of SUSY dark matter can be elevated to a number of events potentially observable by the Fermi-LAT in the coming years .
Likewise , the increased yield in No-Scale \cal { F } - SU ( 5 ) may also have rendered the existing observation of a 133 GeV monochromatic gamma ray line visible , if additional data should exclude systematic or statistical explanations .
The question of intensity aside , No-Scale \cal { F } - SU ( 5 ) can indeed provide a natural weakly interacting massive particle ( WIMP ) candidate with a mass in the correct range to yield \gamma \gamma and \gamma Z emission lines at m _ { \chi } \sim 133 GeV and m _ { \chi } \sim 145 GeV , respectively .
Additionally , we elucidate the emerging empirical connection between recent Planck satellite data and No-Scale Supergravity cosmological models which mimic the Starobinsky model of inflation .
Together , these experiments furnish rich alternate avenues for testing No-Scale \cal { F } - SU ( 5 ) , and similarly structured models , the results of which may lend independent credence to observations made at the LHC .