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Invariant approach to CP in unbroken Δ(27)

Invariant approach to CP in unbroken Δ(27)
Invariant approach to CP in unbroken Δ(27)
The invariant approach is a powerful method for studying CP violation for specific Lagrangians. The method is particularly useful for dealing with discrete family symmetries. We focus on the CP properties of unbroken Δ(27) invariant Lagrangians with Yukawa-like terms, which proves to be a rich framework, with distinct aspects of CP, making it an ideal group to investigate with the invariant approach. We classify Lagrangians depending on the number of fields transforming as irreducible triplet representations of Δ(27). For each case, we construct CP-odd weak basis invariants and use them to discuss the respective CP properties. We find that CP violation is sensitive to the number and type of Δ(27) representations.
0550-3213
14-36
Branco, Gustavo C.
d2e894d3-7888-4926-ab79-cf849e801bda
de Medeiros Varzielas, Ivo
9e2b1443-1449-4687-8d03-2f67275730c0
King, Stephen F.
f8c616b7-0336-4046-a943-700af83a1538
Branco, Gustavo C.
d2e894d3-7888-4926-ab79-cf849e801bda
de Medeiros Varzielas, Ivo
9e2b1443-1449-4687-8d03-2f67275730c0
King, Stephen F.
f8c616b7-0336-4046-a943-700af83a1538

Branco, Gustavo C., de Medeiros Varzielas, Ivo and King, Stephen F. (2015) Invariant approach to CP in unbroken Δ(27). Nuclear Physics B, 899, 14-36. (doi:10.1016/j.nuclphysb.2015.07.024).

Record type: Article

Abstract

The invariant approach is a powerful method for studying CP violation for specific Lagrangians. The method is particularly useful for dealing with discrete family symmetries. We focus on the CP properties of unbroken Δ(27) invariant Lagrangians with Yukawa-like terms, which proves to be a rich framework, with distinct aspects of CP, making it an ideal group to investigate with the invariant approach. We classify Lagrangians depending on the number of fields transforming as irreducible triplet representations of Δ(27). For each case, we construct CP-odd weak basis invariants and use them to discuss the respective CP properties. We find that CP violation is sensitive to the number and type of Δ(27) representations.

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More information

Accepted/In Press date: 21 July 2015
e-pub ahead of print date: 29 July 2015
Published date: October 2015
Organisations: Physics & Astronomy

Identifiers

Local EPrints ID: 383772
URI: https://eprints.soton.ac.uk/id/eprint/383772
ISSN: 0550-3213
PURE UUID: 46f7e6e8-7678-4cc0-ab19-47e87663fbe5

Catalogue record

Date deposited: 11 Nov 2015 17:23
Last modified: 19 Jul 2019 20:27

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