Horizontal Symmetry: Bottom Up and Top Down

Details Horizontal Symmetry: Bottom Up and Top Down Horizontal Symmetry: Bottom Up and Top Down

2011-05-25

arxiv.org/abs/1105.5166v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

Based on a talk given at WIN 11, Jan 31 to Feb 5, 2011, Capetown, South Africa

Scientific paper

A group-theoretical connection between horizontal symmetry $\G$ and fermion mixing is established, and applied to neutrino mixing. The group-theoretical approach is consistent with a dynamical theory based on $U(1)\times \G$, but the dynamical theory can be used to pick out the most stable mixing that purely group-theoretical considerations cannot. A symmetry common to leptons and quarks is also discussed. This higher symmetry picks $A_4$ over $S_4$ to be the preferred symmetry for leptons.

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