  We stress the potential usefulness of renormalization group invariants.
Especially particular combinations thereof could for instance be used as probes
into patterns of supersymmetry breaking in the MSSM at inaccessibly high
energies. We search for these renormalization group invariants in two
systematic ways: on the one hand by making use of symmetry arguments and on the
other by means of a completely automated exhaustive search through a large
class of candidate invariants. At the one-loop level, we find all known
invariants for the MSSM and in fact several more, and extend our results to the
more constrained pMSSM and dMSSM, leading to even more invariants. Extending
our search to the two-loop level we find that the number of invariants is
considerably reduced.
