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
Ding, Gui-Jun
65280d32-40be-4950-a54f-f130e4f8699a
King, Stephen F.
f8c616b7-0336-4046-a943-700af83a1538
28 May 2014
Ding, Gui-Jun
65280d32-40be-4950-a54f-f130e4f8699a
King, Stephen F.
f8c616b7-0336-4046-a943-700af83a1538
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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Published date: 28 May 2014
Additional Information:
71 pages, 10 figures
Keywords:
hep-ph
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Theory Group
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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: 15 Mar 2024 14:01
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Author:
Gui-Jun Ding
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