Gauge origin of discrete flavor symmetries and its application
Florian Beye1, Tatsuo Kobayashi2, Shogo Kuwakino3*
1Department of Physics, Nagoya University, Nagoya, Japan
2Department of Physics, Hokkaido University, Sapporo, Japan
3Department of Physics, Chung Yuan Christian University, Chung-Li, Taiwan
* presenting author:桑木野省吾,
Flavor symmetry plays an important role in flavor models in order to realize hierarchical quark-lepton mass/mixing properties. It is know that non-Abelian discrete flavor symmetries originate from the geometrical structure of the extra-dimensional space in orbifold compactification of heterotic string theory. In this work, we considered enhancement point in moduli space, and showed that the discrete symmetries can be enhanced to (non-)Abelian gauge symmetries. We apply the gauge enhancement mechanism to field-theoretical realizations of several phenomenologically interesting non-Abelian discrete symmetries from U(1) symmetry with a permutation symmetry. We construct a concrete model for the lepton sector with large theta13 mixing angle. We also discuss phenomenological implications of this model.

Keywords: high energy physics