Soft Superweak CP Violation and the Strong CP Puzzle

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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

Scientific paper

10.1016/S0370-2693(99)00246-4

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.

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