CP Violation: A Theoretical Review

This review of CP violation focuses on the status of the subject and its likely future development through experiments in the Kaon system and with B-decays. Although present observations of CP violation are perfectly consistent with the CKM model, we discuss the theoretical and experimental difficulties which must be faced to establish this conclusively. In so doing, theoretical predictions and experimental prospects for detecting $\Delta S=1$ CP violation through measurements of $\epsilon^\prime/\epsilon$ and of rare K decays are reviewed. The crucial role that B CP-violating experiments will play in elucidating this issue is emphasized . The importance of looking for evidence for non-CKM CP-violating phases, through a search for a non-vanishing transverse muon polarization in $K_{\mu 3}$ decays, is also stressed.