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

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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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