ABSTRACT

CP-violation has been seen so far only in K[, -+ 27f decays, and through the charge asymmetry in K L -+ 7f'f z± (;;,J decays [1). An important new experimental information on CP-violation is that in KL -+ 27f decays not only E, but also E' / E is different from zero. This implies the existence of a non-superweak CP-violating interaction. One of the major questions in the field of CP-violation is what are the sources of the interactions responsible for E and E' / E. The most economical possibility is that both are due to the Kobayashi-Maskawa phase r5](M in the Standard Model (8M). Future experimental investigations of CP-violation in B-decays and ill some rare kaon decays will give further information on this possibility. Another important question is whether there are sources of CP-violatioll other than r5]( AI, independently of their relevance or lack of it for the observed CP-violation. The

most suitable observables to probe new CP-violating interactions are those for which the contribution from fJKM is small. Among such observables the ones for which sensitive experimental results are available are1 the electric dipole moment of the neutron, the P,T-violating spin-flip parameter of the TlF molecule and the electric dipole moments of some atoms (which give information on the electron electric dipole moment, and on P,T-violating electron-nucleon and nucleon-nucleon interactions), T-odd correlations in beta decay and muon decay, and the tranverse polarization of the muon in the decay K+ -+ 7r°JL+v!-"

In this talk we review the contributions of the CP-violating R-parity violating interactions in the R-parity violating Minimal Supersymmetric Standard Model (f{MSSM) to P,T-violating electron-nucleon interactions and to T-odd correlations in 13, JL, and K+ -+ 7r°JL+vJ-L decay, and discuss the constraints on the R-parity violating coupling constants implied by the experimental results on these observables. We comment also on the contributions of the R-parity violating interactions to the electric dipole moment of the electron and the neutron, and to P,T-violating nucleon-nucleon interactions. In the next section we give a brief sketch of the f{MSSM. In Section 3 we discuss the P,T-violating electron-nucleon interactions. Section 4 contains some observations on the electric dipole moment of the electron and of the neutron and on P,T-violating nucleon-nucleon interactions. In Sections 5 and 6 we consider the contributions from the R-parity violating interactions to T-odd observables in 13 decay and JL decay, respectively. Section 7 deals with the transverse muon polarization in K+ -+ 7r0 JL+v!-" In Section 8 we summarize our conclusions.