Neutrino mixings and the S4 discrete flavour symmetry

Authors

  • F. Bazzocchi,

    1. INFN – Sezione di Trieste and SISSA, via Bonomea 265, 34136 Trieste, Italy
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  • L. Merlo

    Corresponding author
    1. Physik-Department, Technische Universität München, James-Franck-Strasse, 85748 Garching, Germany
    2. TUM Institute for Advanced Study, Technische Universität München, Lichtenbergstrasse 2a, 85748 Garching, Germany
    • TUM Institute for Advanced Study, Technische Universität München, Lichtenbergstrasse 2a, 85748 Garching, Germany
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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.

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