Spontaneous CP Violation: Alternative to the Standard Model

Abstract

We propose a model of soft CP violation that evades the strong CP problem and can describe observed CP violation in the neutral kaon sector, both direct and indirect. Our model requires two ``duark'' mesons carrying quark number two that have complex (CP-violating) bare masses and are coupled to quark pairs. Aside from the existence of these potentially observable new particles with masses of several hundred GeV, we predict a flat unitarity triangle ({\it i.e.,} no observable direct CP violation in the $B$-meson sector) and a possibly anomalous branching ratio for the decay mode $K^{+}\to {\pi }^{+}+\bar{\nu }\nu$.

Comments: 13 pages LaTeX including four figures. Invited talk at 2001: A Spacetime Odyssey. The Inaugural Conference of the Michigan Center for Theoretical Physics. May 21-25, 2001. First Director: Michael J. Duff