The supersymmetric standard model with supergravity-inspired soft breaking
terms predicts a rich pectrum of sparticles to be discovered at the SSC, LHC
and NLC. Because there are more supersymmetric particles than unknown
parameters, one can write down sum rules relating their masses. We discuss the
pectrum of sparticles from this point of view. Some of the sum rules do not
depend on the input parameters and can be used to test the consistency of the
model, while others are useful in determining the input parameters of the
theory. If supersymmetry is discovered but the sum rules turn out to be
violated, it will be evidence of new physics beyond the minimal supersymmetric
standard model with universal soft supersymmetry-breaking terms.Comment: 25 pages. NUB-3067-93TH, UFIFT-HEP-93-16, SSCL-Preprint-439, June
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