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Direct and semi-direct approaches to lepton mixing with a massless neutrino

Direct and semi-direct approaches to lepton mixing with a massless neutrino
Direct and semi-direct approaches to lepton mixing with a massless neutrino
We discuss the possibility of enforcing a massless Majorana neutrino in the direct and semi-direct approaches to lepton mixing, in which the PMNS matrix is partly predicted by subgroups of a discrete family symmetry, extending previous group searches up to order 1535. We find a phenomenologically viable scheme for the semi-direct approach based on Q(648) which contains Δ(27) and the quaternion group as subgroups. This leads to novel predictions for the first column of the PMNS matrix corresponding to a normal neutrino mass hierarchy with m1 = 0, and sum rules for the mixing angles and phase which are characterised by the solar angle being on the low side θ12 ∼ 31° and the Dirac (oscillation) CP phase δ being either about ±45° or ±π.
hep-ph
1029-8479
King, Stephen F.
f8c616b7-0336-4046-a943-700af83a1538
Ludl, Patrick Otto
0e1eb6a9-c944-4cd8-a2cd-e9d2bb6c0e33
King, Stephen F.
f8c616b7-0336-4046-a943-700af83a1538
Ludl, Patrick Otto
0e1eb6a9-c944-4cd8-a2cd-e9d2bb6c0e33

King, Stephen F. and Ludl, Patrick Otto (2016) Direct and semi-direct approaches to lepton mixing with a massless neutrino. Journal of High Energy Physics, 06, [147]. (doi:10.1007/JHEP06(2016)147).

Record type: Article

Abstract

We discuss the possibility of enforcing a massless Majorana neutrino in the direct and semi-direct approaches to lepton mixing, in which the PMNS matrix is partly predicted by subgroups of a discrete family symmetry, extending previous group searches up to order 1535. We find a phenomenologically viable scheme for the semi-direct approach based on Q(648) which contains Δ(27) and the quaternion group as subgroups. This leads to novel predictions for the first column of the PMNS matrix corresponding to a normal neutrino mass hierarchy with m1 = 0, and sum rules for the mixing angles and phase which are characterised by the solar angle being on the low side θ12 ∼ 31° and the Dirac (oscillation) CP phase δ being either about ±45° or ±π.

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More information

Accepted/In Press date: 15 June 2016
e-pub ahead of print date: 24 June 2016
Additional Information: 18 pages, 1 figure, small comments added in introduction and section 3, one reference added, version matches publication in JHEP
Keywords: hep-ph
Organisations: Theory Group

Identifiers

Local EPrints ID: 410382
URI: http://eprints.soton.ac.uk/id/eprint/410382
ISSN: 1029-8479
PURE UUID: 27b65113-c08a-4147-83ac-1de1b4df94b0

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Date deposited: 07 Jun 2017 16:31
Last modified: 06 Oct 2020 19:41

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