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Horizontal Symmetry: Bottom Up and Top Down

2011/05/25 by Lam, C. S.
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph)

paper · doi:10.48550/arxiv.1105.5166

Abstract

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)× \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 A4 over S4 to be the preferred symmetry for leptons.

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