SUPERSYMMETRIC SOLUTION TO CP PROBLEMS

We analyze the minimal supersymmetric left-right model with nonrenorma lizable interactions induced by higher scale physics and study its CP- violating properties. We show that it (i) solves the strong CP problem , and (ii) predicts the neutron electric dipole moment well within exp erimental limits (thus solving the usual SUSY CP problem). In addition , it automatically conserves R parity. The key points are that the par ity symmetry forces the Yukawa couplings to be Hermitian, while supers ymmetry ensures that the scalar potential has a minimum with real Higg s doublet vacuum expectation values. Gluino and B-L gaugino masses are automatically real. The observed CP violation in the kaon system come s, as in the standard model, from the Kobayashi-Maskawa-type phases. T hese solutions are valid for any value of the right-handed breaking sc ale M(R), as long as the effective theory below M(R) has only two Higg s doublets that couple fully to fermions (i.e., the theory below M(R) is MSSM-like.) The potentially dangerous contributions from the SU(2)( L) gaugino one-loop diagram as well as from some higher dimensional te rms to <(Theta)over cap> below M(R) can be avoided if the left-right s ymmetry originates from a unified theory such as SO(10) and we discuss how this embedding is achieved for the S0(10) case.