Lepton Mixing Predictions from (Generalised) CP and Discrete Flavour Symmetry

preprint2015arXivOpen access

Abstract

An important class of flavour groups, that are subgroups of U(3)U(3) and that predict experimentally viable lepton mixing parameters including Majorana phases, is the Δ(6n2)Δ(6n^2) series. The most well-known member is Δ(24)=S4Δ(24)=S_4. I present results of several extensive studies of lepton mixing predictions obtained in models with a Δ(6n2)Δ(6n^2) flavour group that preserve either the full residual Z2×Z2Z_2\times Z_2 or a Z2Z_2 subgroup for neutrinos and can include a generalised CP symmetry. Predictions include mixing angles and Dirac CP phase generally; and if invariance under a generalised CP symmetry is included, also Majorana phases. For this, the interplay of flavour group and generalised CP symmetry has to be studied carefully.

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