Dark Matter, Proton Decay and Other Phenomenological Constraints in
  ${\cal F}$-SU(5)
  We study gravity mediated supersymmetry breaking in ${\cal F}$-SU(5) and its
low-energy supersymmetric phenomenology. The gaugino masses are not unified at
the traditional grand unification scale, but we nonetheless have the same
one-loop gaugino mass relation at the electroweak scale as minimal supergravity
(mSUGRA). We introduce parameters testable at the colliders to measure the
small second loop deviation from the mSUGRA gaugino mass relation at the
electroweak scale. In the minimal SU(5) model with gravity mediated
supersymmetry breaking, we show that the deviations from the mSUGRA gaugino
mass relations are within 5%. However, in ${\cal F}$-SU(5), we predict the
deviations from the mSUGRA gaugino mass relations to be larger due to the
presence of vector-like particles, which can be tested at the colliders. We
determine the viable parameter space that satisfies all the latest experimental
constraints and find it is consistent with the CDMS II experiment. Further, we
compute the cross-sections of neutralino annihilations into gamma-rays and
compare to the first published Fermi-LAT measurement. Finally, the
corresponding range of proton lifetime predictions is calculated and found to
be within reach of the future Hyper-Kamiokande and DUSEL experiments.
