  We consider using broken superconformal symmetry and the super operator
product expansion (sOPE) to constrain and analyze hidden sector theories that
couple to our gauge forces and are not necessarily weakly coupled. Conformal
and supersymmetry breaking are IR effects, associated with field or spurion
expectation values, whereas the sOPE is determined in the UV and hence does not
notice the breaking. The broken superconformal symmetry relates OPE
coefficients of superconformal descendant operators to those of the
superconformal primaries. We apply these ideas to the current correlators of
general gauge mediation (GGM). We also consider analyticity properties of these
correlators, e.g. their discontinuities, and use the optical theorem to relate
them to total scattering cross sections from visible to hidden sector states,
e.g. sigma(vis + vis --> hidden), analogous to sigma(e+ e- --> hadrons) in QCD.
We discuss how the current-current OPE can be truncated to the first few terms
to get a good approximation to the visible sector soft masses of GGM.
