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

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.

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.

Other
pdf - Accepted Manuscript

e-pub ahead of print date: 25 July 2014
Published date: 7 September 2014
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

## Catalogue record

Date deposited: 28 May 2017 04:02

## Contributors

Author: Stephen F. King
Author: Thomas Neder