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 m 1 = 0, and sum rules for the mixing angles and phase which are characterised by the solar angle being on the low side θ 12 ∼ 31° and the Dirac (oscillation) CP phase δ being either about ±45° or ±π.
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King, S.F., Ludl, P.O. Direct and semi-direct approaches to lepton mixing with a massless neutrino. J. High Energ. Phys. 2016, 147 (2016). https://doi.org/10.1007/JHEP06(2016)147
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DOI: https://doi.org/10.1007/JHEP06(2016)147