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Lepton Mixing Predictions including Majorana Phases from $Δ(6n^2)$ Flavour Symmetry and Generalised CP

Lepton Mixing Predictions including Majorana Phases from $Δ(6n^2)$ Flavour Symmetry and Generalised CP
Lepton Mixing Predictions including Majorana Phases from $Δ(6n^2)$ Flavour Symmetry and Generalised CP
Generalised CP transformations are the only known framework which allows to predict Majorana phases in a flavour model purely from symmetry. For the first time generalised CP transformations are investigated for an infinite series of finite groups, $\Delta(6n^2)=(Z_n\times Z_n)\rtimes S_3$. In direct models the mixing angles and Dirac CP phase are solely predicted from symmetry. $\Delta(6n^2)$ flavour symmetry provides many examples of viable predictions for mixing angles. For all groups the mixing matrix has a trimaximal middle column and the Dirac CP phase is 0 or $\pi$. The Majorana phases are predicted from residual flavour and CP symmetries where $\alpha_{21}$ can take several discrete values for each $n$ and the Majorana phase $\alpha_{31}$ is a multiple of $\pi$. We discuss constraints on the groups and CP transformations from measurements of the neutrino mixing angles and from neutrinoless double-beta decay and find that predictions for mixing angles and all phases are accessible to experiments in the near future.
hep-ph
0370-2693
King, Stephen F.
f8c616b7-0336-4046-a943-700af83a1538
Neder, Thomas
6696dff1-d12c-4c53-8f2c-efd1e886b74a
King, Stephen F.
f8c616b7-0336-4046-a943-700af83a1538
Neder, Thomas
6696dff1-d12c-4c53-8f2c-efd1e886b74a

King, Stephen F. and Neder, Thomas (2014) Lepton Mixing Predictions including Majorana Phases from $Δ(6n^2)$ Flavour Symmetry and Generalised CP. Physics Letters B. (doi:10.1016/j.physletb.2014.07.043).

Record type: Article

Abstract

Generalised CP transformations are the only known framework which allows to predict Majorana phases in a flavour model purely from symmetry. For the first time generalised CP transformations are investigated for an infinite series of finite groups, $\Delta(6n^2)=(Z_n\times Z_n)\rtimes S_3$. In direct models the mixing angles and Dirac CP phase are solely predicted from symmetry. $\Delta(6n^2)$ flavour symmetry provides many examples of viable predictions for mixing angles. For all groups the mixing matrix has a trimaximal middle column and the Dirac CP phase is 0 or $\pi$. The Majorana phases are predicted from residual flavour and CP symmetries where $\alpha_{21}$ can take several discrete values for each $n$ and the Majorana phase $\alpha_{31}$ is a multiple of $\pi$. We discuss constraints on the groups and CP transformations from measurements of the neutrino mixing angles and from neutrinoless double-beta decay and find that predictions for mixing angles and all phases are accessible to experiments in the near future.

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More information

e-pub ahead of print date: 25 July 2014
Published date: 7 September 2014
Additional Information: 16 pages, 8 figures; references added; clarification in section 2.3 added; results are unchanged
Keywords: hep-ph
Organisations: Physics & Astronomy, Theory Group

Identifiers

Local EPrints ID: 408826
URI: http://eprints.soton.ac.uk/id/eprint/408826
ISSN: 0370-2693
PURE UUID: fea27148-7aa0-430a-ab4b-8ee6c59959e2

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Date deposited: 28 May 2017 04:02
Last modified: 25 Nov 2019 19:00

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