  For a wide range of supersymmetric models, there is a chiral superfield whose
scalar and pseudo-scalar have approximately degenerate masses and couplings to
Standard Model particles. At colliders, they may show up as "superbumps": a
pair of resonances with similar masses and production cross-sections. Observing
the superbumps may provide evidence of supersymmetry even without seeing
superpartners with a different spin. We present two models which realize the
superbump scenario. The first one contains an elementary superfield, 24, under
SU(5)_GUT, while the second one is based on the supersymmetric QCD model with
N_f = N_c +1 and identifying SU(N_f=5) as SU(5)_GUT. Both models have rich
phenomenology including nearly mass-degenerate scalar and pseudo-scalar color
octets that appear as three body resonances of two photons and one gluon. We
also show that the recent 750 GeV diphoton excess at the LHC could be the first
hint of a superbump signature.
