Neutrino Mixings and the S4 Discrete Flavour Symmetry

Abstract

Discrete non-Abelian Symmetries have been extensively used to reproduce the lepton mixings. In particular, the S4 group turned out to be suitable to describe predictive mixing patterns, such as the well-known Tri-Bimaximal and the Bimaximal schemes, which all represent possible first approximations of the experimental lepton mixing matrix. We review the main application of the S4 discrete group as a flavour symmetry, first dealing with the formalism and later with the phenomenological implications. In particular, we summarize the main features of flavour models based on S4, commenting on their ability in reproducing a reactor angle in agreement with the recent data and on their predictions for lepton flavour violating transitions.

33 pages, 7 figures, 4 tables. Review written for the special issue on "Flavor Symmetries and Neutrino Oscillations", published in Fortschritte der Physik - Progress of Physics

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• Flavor structures of charged fermions and massive neutrinos
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• A Grand Delta(96) x SU(5) Flavour Model
• Determining the Dirac CP Violation Phase in the Neutrino Mixing Matrix from Sum Rules
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• Tri-bimaximal-Cabibbo Mixing: Flavour violations in the charged lepton sector