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Generalized CP and Δ(96) family symmetry

Generalized CP and Δ(96) family symmetry
Generalized CP and Δ(96) family symmetry
We perform a comprehensive study of the $\Delta (96)$ family symmetry combined with the generalised CP symmetry $H_{\rm{CP}}$. We investigate the lepton mixing parameters which can be obtained from the original symmetry $\Delta (96)\rtimes H_{\rm{CP}}$ breaking to different remnant symmetries in the neutrino and charged lepton sectors, namely $G_{\nu}$ and $G_l$ subgroups in the neutrino and the charged lepton sector respectively, and the remnant CP symmetries from the breaking of $H_{\rm{CP}}$ are $H^{\nu}_{\rm{CP}}$ and $H^{l}_{\rm{CP}}$, respectively, where all cases correspond to a 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 may be fitted to the reactor angle for example. We discuss 26 possible cases, including a global $\chi^2$ determination of the best fit parameters and the correlations between mixing parameters, in each case.
hep-ph
1550-7998
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. (2014) Generalized CP and Δ(96) family symmetry. Physical Review D, [093020]. (doi:10.1103/PhysRevD.89.093020).

Record type: Article

Abstract

We perform a comprehensive study of the $\Delta (96)$ family symmetry combined with the generalised CP symmetry $H_{\rm{CP}}$. We investigate the lepton mixing parameters which can be obtained from the original symmetry $\Delta (96)\rtimes H_{\rm{CP}}$ breaking to different remnant symmetries in the neutrino and charged lepton sectors, namely $G_{\nu}$ and $G_l$ subgroups in the neutrino and the charged lepton sector respectively, and the remnant CP symmetries from the breaking of $H_{\rm{CP}}$ are $H^{\nu}_{\rm{CP}}$ and $H^{l}_{\rm{CP}}$, respectively, where all cases correspond to a 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 may be fitted to the reactor angle for example. We discuss 26 possible cases, including a global $\chi^2$ determination of the best fit parameters and the correlations between mixing parameters, in each case.

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More information

Published date: 28 May 2014
Additional Information: 71 pages, 10 figures
Keywords: hep-ph
Organisations: Theory Group

Identifiers

Local EPrints ID: 411070
URI: http://eprints.soton.ac.uk/id/eprint/411070
ISSN: 1550-7998
PURE UUID: 988cbf66-dfb5-41ea-bb10-512f5e25436b

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Date deposited: 13 Jun 2017 16:33
Last modified: 25 Nov 2019 19:00

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