On the origin of neutrino flavour symmetry

Details On the origin of neutrino flavour symmetry On the origin of neutrino flavour symmetry

2009-08-13

arxiv.org/abs/0908.1897v2

JHEP 0910:093,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

24 pages; version to be published in JHEP

Scientific paper

10.1088/1126-6708/2009/10/093

We study classes of models which are based on some discrete family symmetry which is completely broken such that the observed neutrino flavour symmetry emerges indirectly as an accidental symmetry. For such "indirect" models we discuss the D-term flavon vacuum alignments which are required for such an accidental flavour symmetry consistent with tri-bimaximal lepton mixing to emerge. We identify large classes of suitable discrete family symmetries, namely the $\Delta(3n^2)$ and $\Delta(6n^2)$ groups, together with other examples such as $Z_7\rtimes Z_3$. In such indirect models the implementation of the type I see-saw mechanism is straightforward using constrained sequential dominance. However the accidental neutrino flavour symmetry may be easily violated, for example leading to a large reactor angle, while maintaining accurately the tri-bimaximal solar and atmospheric predictions.

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