A new class of invariants in the lepton sector

Details A new class of invariants in the lepton sector A new class of invariants in the lepton sector

2007-11-03

arxiv.org/abs/0711.0448v2

Nucl.Phys.B811:98-108,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

19 pages, Version appeared in Nuclear Physics B

Scientific paper

10.1016/j.nuclphysb.2008.11.013

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.

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