Soft Superweak CP Violation and the Strong CP Puzzle

Abstract

We discuss a class of models in which CP is violated softly in a heavy sector adjoined to the standard model. Heavy-sector loops produce the observed CP violation in kaon physics, yielding a tiny and probably undetectable value for ${\epsilon }^{\prime }$. All other CP-violating parameters in the effective low-energy standard model, including the area of the unitarity triangle and $\bar{\theta }$, are finite, calculable and can be made very small. The leading contribution to $\bar{\theta }$ comes from a four-loop graph. These models offer a natural realization of superweak CP violation and can resolve the strong CP puzzle. In one realization of this idea, CP is violated in the mass matrix of heavy majorana neutrinos.

12 pages, embedded figures - this version was further revised after acceptance for publication

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• Theta angle versus CP violation in the leptonic sector
• How natural is a small \barθin left-right SUSY models ?
• Large magnetic dipole moments for neutrinos with arbitrary masses
• Spontaneous CP Violation: Alternative to the Standard Model