Abstract
Experimentally viable lepton mixing parameters can be predicted in so-called direct flavour models with Majorana neutrinos using Δ(6n2) groups as a flavour group. In direct models, in which the flavour group is broken to a Z2 × Z2 subgroup in the neutrino sector, mixing angles and Dirac CP phase are purely predicted from symmetry. General predictions of direct models with Δ(6n2) flavour groups are that all mixing angles are fixed up to a discrete choice and that the Dirac CP phase is 0 or π; Furthermore, the middle column of the mixing matrix is trimaximal which yields the sum rule θ23 = 45° ± θ13/√2 depending on the Dirac phase. These predictions of lepton mixing parameters are compatible with recent global fit results or will be tested experimentally in the near future. It is the first time that such predictions have been obtained model-independently for an infinite series of groups.
Highlights
The problem of the origin of neutrino masses and mixing is of fundamental importance and among the more specific questions that models of neutrinos have to attempt to answer are:
A succesful and numerous class of models of neutrino masses and mixings are models with flavour symmetries: Generations of fermions are assigned to representations of an additional symmetry group called the flavour symmetry; for a review see e.g. [1]
If the the flavour group is both broken to a Z2 × Z2 subgroup in the neutrino sector of the theory and to a discrete subgroup, often a cyclic group, in the sector of charged leptons, a model with a flavour symmetry is called direct
Summary
A succesful and numerous class of models of neutrino masses and mixings are models with flavour symmetries: Generations of fermions are assigned to representations of an additional symmetry group called the flavour symmetry; for a review see e.g. [1]. A succesful and numerous class of models of neutrino masses and mixings are models with flavour symmetries: Generations of fermions are assigned to representations of an additional symmetry group called the flavour symmetry; for a review see e.g. The additional invariance of the Lagrangian under GFlavour restricts the allowed couplings in the Yukawa sector and eventually the allowed mass and mixing matrices. If the the flavour group is both broken to a Z2 × Z2 subgroup in the neutrino sector of the theory and to a discrete subgroup, often a cyclic group, in the sector of charged leptons, a model with a flavour symmetry is called direct.
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