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Lepton Residual Symmetries

Mohamed Abbas1

Abstract

Some aspects concerning the flavor symmetry were studied. Two approaches are discussed to deal with flavor symmetry. The desired lepton mixing matrix determines the flavor symmetry group up to a certain representation.

The dependence of the lepton mixing matrix on the representation of the symmetry group accounts for the differences between models used the same symmetry group.

We discuss the connection between the two approaches to fix flavor assignments and alignments of flavor vacuum.

Another approach is called bottom- up or the residual symmetry approach, at which the lepton mass matrices are considered to have remnant symmetry of breaking discrete group. The goal of this approach is to get this discrete group.

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