A new class of invariants in the lepton sector

Abstract

We construct a new set of combinations from the mass matrices of the charged leptons and neutrinos that are invariant under basis transformation, hereafter {\it the} invariants. We use these invariants to study various symmetries and neutrino mass textures in a basis independent way. In particular, we show that by using these invariants the ansatz such as $\mu -\tau$ exchange and reflection symmetries, various texture zeros and flavor symmetries can be expressed in a general basis.

19 pages, Version appeared in Nuclear Physics B

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Cited by in corpus (1)

• CP violation with Higgs-dependent Yukawa couplings