  We study the SUSY-breaking complexity of the Bethe Lattice Spin-Glass in the
zero temperature limit. We consider both the Gaussian and the bimodal
distribution of the coupling constants. For $J_{ij}=\pm 1$ the SUSY breaking
theory yields fields distributions that concentrate on integer values at low
temperatures, at variance with the unbroken SUSY theory. This concentration
takes place both in the quenched as well as in the simpler annealed
formulation.
