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Invariant approach to CP in family symmetry models

Invariant approach to CP in family symmetry models
Invariant approach to CP in family symmetry models
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. persisting for arbitrary couplings in the Lagrangian.
hep-ph
1550-7998
Branco, Gustavo C.
d2e894d3-7888-4926-ab79-cf849e801bda
Varzielas, Ivo de Medeiros
9e2b1443-1449-4687-8d03-2f67275730c0
King, Steve F.
f8c616b7-0336-4046-a943-700af83a1538
Branco, Gustavo C.
d2e894d3-7888-4926-ab79-cf849e801bda
Varzielas, Ivo de Medeiros
9e2b1443-1449-4687-8d03-2f67275730c0
King, Steve F.
f8c616b7-0336-4046-a943-700af83a1538

Branco, Gustavo C., Varzielas, Ivo de Medeiros and King, Steve F. (2015) Invariant approach to CP in family symmetry models. Physical Review D, 92. (doi:10.1103/PhysRevD.92.036007).

Record type: Article

Abstract

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. persisting for arbitrary couplings in the Lagrangian.

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More information

Published date: 13 August 2015
Additional Information: 4 pages plus references. v2: to be published in PRD
Keywords: hep-ph
Organisations: Theory Group

Identifiers

Local EPrints ID: 410456
URI: https://eprints.soton.ac.uk/id/eprint/410456
ISSN: 1550-7998
PURE UUID: 28ce9b6a-9d65-47e2-9254-0d21d79dfb3b

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Date deposited: 08 Jun 2017 16:31
Last modified: 13 Mar 2019 19:54

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