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| Paper IPM / P / 8692 |
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| Abstract: | |||||
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We construct a new set of combinations from the mass matrices of
the charged leptons and neutrinos that are invariant under basis
transformation, hereafter the invariants. We use these
invariants to study various symmetries and neutrino mass textures
in a basis independent way. In particular, we express the criteria
for the CP-invariance of the lepton sector in terms of these
invariants. We show that by using these invariants the ansatz such
as various texture zeros or μ−τ exchange and reflection
symmetries can be expressed in a general basis. In the end, we
extend our analysis to include seesaw mechanism and express the
combinations of the Yukawa couplings that give leptogenesis in
terms of a certain set of invariants.
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