Automatic CP Invariance and Flavor Symmetry

Details Automatic CP Invariance and Flavor Symmetry Automatic CP Invariance and Flavor Symmetry

1996-02-06

arxiv.org/abs/hep-ph/9602228v1

Mod.Phys.Lett. A11 (1996) 1869-1875

Physics

High Energy Physics

High Energy Physics - Phenomenology

Scientific paper

The approximate conservation of $CP$ can be naturally understood if it arises as an automatic symmetry of the renormalizable Lagrangian. We present a specific realistic example with this feature. In this example, the global Peccei-Quinn symmetry and gauge symmetries of the model make the renormalizable Lagrangian $CP$ invariant but allow non zero hierarchical masses and mixing among the three generations. The left-right and a horizontal $U(1)_H$ symmetry is imposed to achieve this. The non-renormalizable interactions invariant under these symmetries violate $CP$ whose magnitude can be in the experimentally required range if $U(1)_H$ is broken at very high, typically, near the grand unification scale.

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