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Invariant approach to CP in family symmetry models · Around

2015

Invariant approach to CP in family symmetry models

Branco, Gustavo C., Varzielas, Ivo de Medeiros, King, Steve F.

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We propose the use of basis invariants, valid for any choice of CP transformation, as a powerful approach to studying specific models of CP violation in the presence of discrete family symmetries.

We illustrate the virtues of this approach for examples based on $A_4$ and $\Delta(27)$ family symmetries.
For $A_4$, we show how to elegantly obtain several known results in the literature.
In $\Delta(27)$ we use the invariant approach to identify how explicit (rather than spontaneous) CP violation arises, which is geometrical in nature, i.e.

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