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Paper   IPM / Physic / 8692
School of Physics
  Title:   A New Class of Invariants in the Lepton Sector
  Author(s): 
1.  A. Esmaili
2.  Y. Farzan
  Status:   Published
  Journal: Nucl. Phys. B
  Vol.:  811
  Year:  2009
  Pages:   98-108
  Supported by:  IPM
  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 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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