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# Generalised CP and $Δ(6n^2)$ Family Symmetry in Semi-Direct Models of Leptons

Ding, Gui-Jun, King, Stephen F. and Neder, Thomas (2014) Generalised CP and $Δ(6n^2)$ Family Symmetry in Semi-Direct Models of Leptons. Journal of High Energy Physics.

Record type: Article

## Abstract

We perform a detailed analysis of $\Delta (6n^2)$ family symmetry combined with a generalised CP symmetry in the lepton sector, breaking to different remnant symmetries $G_{\nu}$ in the neutrino and $G_{l}$ in the charged lepton sector, together with different remnant CP symmetries in each sector. We discuss the resulting mass and mixing predictions for $G_{\nu}=Z_2$ with $G_{l}=K_4,Z_p,p>2$ and $G_{\nu}=K_4$ with $G_{l}=Z_2$. All cases correspond to the preserved symmetry smaller than the full Klein symmetry, as in the semi-direct approach, leading to predictions which depend on a single undetermined real parameter, which mainly determines the reactor angle. We focus on five phenomenologically allowed cases for which we present the resulting predictions for the PMNS parameters as a function of $n$, as well as the predictions for neutrinoless double beta decay.

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Published date: 1 December 2014
Additional Information: 65 pages, 19 figures, and the predictions for neutrinoless double beta decay are updated
Keywords: hep-ph
Organisations: Physics & Astronomy, Theory Group

## Identifiers

Local EPrints ID: 410258
URI: http://eprints.soton.ac.uk/id/eprint/410258
ISSN: 1029-8479
PURE UUID: df55f322-69d0-4797-8da8-fa2e0f045b8f

## Catalogue record

Date deposited: 06 Jun 2017 04:03

## Contributors

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