A SOLUTION TO THE SMALL-PHASE PROBLEM OF SUPERSYMMETRY

It is a well-known problem that in supersymmetric models there are new CP-violating phases which, if unsuppressed, would give a neutron electric dipole moment (EDM) 10(2) to 10(3) times the present experimental limit. Here we propose that these new phases are suppressed by CP invariance, which is broken spontaneously at a high scale and that this breaking shows up at low energies only through the phases of the gaugino masses. This can well lit both epsilon and epsilon' of the neutral kaon system. The EDM of the neutron and the electron should be not much below present limits, A model incorporating these ideas in an economical way is presented.