Approximate CP in Supersymmetric Models

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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19 pages, harvmac

Scientific paper

10.1016/S0550-3213(98)00502-1

We construct phenomenologically viable supersymmetric models where CP is an approximate symmetry. The full high energy theory has exact CP and horizontal symmetries that are spontaneously broken with a naturally induced hierarchy of scales, $\Lambda_{CP}\ll\Lambda_H$. Consequently, the effective low energy theory, that is the supersymmetric Standard Model, has CP broken explicitly but by a small parameter. The $\epsilon_K$ parameter is accounted for by supersymmetric contributions. The predictions for other CP violating observables are very different from the Standard Model. In particular, CP violating effects in neutral B decays into final CP eigenstates such as $B\ra\psi K_S$ and in $K\ra\pi\nu\bar\nu$ decays are very small.

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