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Group theory and dynamics of neutrino mixing

Department of Physics, McGill University, Montreal, QC, Canada H3A 2T8 and Department of Physics and Astronomy, University of British Columbia, Vancouver, BC, Canada V6T 1Z1

^*Lam@physics.mcgill.ca

Phys. Rev. D 83, 113002 – Published 3 June, 2011

DOI: https://doi.org/10.1103/PhysRevD.83.113002

Abstract

There is a direct group-theoretical connection between neutrino mixing and horizontal symmetry that can be established without any dynamical input. Such a connection is reviewed and expanded in this article. For certain symmetry groups $G$ including $A_{4}$ and $S_{4}$ , it is shown that a generic $U (1) \times G$ Higgs potential of a valon yields exactly the alignments dictated by the group-theoretical approach, but energy can now be used to discriminate different alignments. This mechanism possibly explains why starting from an $A_{4}$ group, the tribimaximal mixing matrix with an enhanced $S_{4}$ symmetry is more preferable than the one without it.

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Group theory and dynamics of neutrino mixing

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