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Generalized CP and delta(3n2) family symmetry for semidirect predictions of the PMNS matrix

Generalized CP and delta(3n2) family symmetry for semidirect predictions of the PMNS matrix
Generalized CP and delta(3n2) family symmetry for semidirect predictions of the PMNS matrix
The generalized CP transformations can only be consistently defined in the context of ?(3n2) lepton symmetry if a certain subset of irreducible representations are present in a model. We perform a comprehensive analysis of the possible automorphisms and the corresponding CP transformations of the ?(3n2) group. It is sufficient to only consider three automorphisms if n is not divisible by 3 while an additional eight types of CP transformations could be imposed for the case of n divisible by 3. We study the lepton mixing patterns which can be derived from the ?(3n2) family symmetry and generalized CP in the semidirect approach. The PMNS matrix is determined to be the trimaximal pattern for all the possible CP transformations, and it can only take two distinct forms.
1550-7998
1-14
Ding, Gui-Jun
65280d32-40be-4950-a54f-f130e4f8699a
King, Stephen F.
f8c616b7-0336-4046-a943-700af83a1538
Ding, Gui-Jun
65280d32-40be-4950-a54f-f130e4f8699a
King, Stephen F.
f8c616b7-0336-4046-a943-700af83a1538

Ding, Gui-Jun and King, Stephen F. (2016) Generalized CP and delta(3n2) family symmetry for semidirect predictions of the PMNS matrix. Physical Review D, 93 (25013), 1-14. (doi:10.1103/PhysRevD.93.025013).

Record type: Article

Abstract

The generalized CP transformations can only be consistently defined in the context of ?(3n2) lepton symmetry if a certain subset of irreducible representations are present in a model. We perform a comprehensive analysis of the possible automorphisms and the corresponding CP transformations of the ?(3n2) group. It is sufficient to only consider three automorphisms if n is not divisible by 3 while an additional eight types of CP transformations could be imposed for the case of n divisible by 3. We study the lepton mixing patterns which can be derived from the ?(3n2) family symmetry and generalized CP in the semidirect approach. The PMNS matrix is determined to be the trimaximal pattern for all the possible CP transformations, and it can only take two distinct forms.

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Published date: 20 January 2016
Organisations: Theoretical Partical Physics Group

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Local EPrints ID: 397108
URI: http://eprints.soton.ac.uk/id/eprint/397108
ISSN: 1550-7998
PURE UUID: 2e386983-2195-4966-87f1-c4445ed65d76

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Date deposited: 27 Jun 2016 15:29
Last modified: 16 Dec 2019 19:51

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Author: Gui-Jun Ding
Author: Stephen F. King

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