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Paper   IPM / P / 8370
School of Physics
  Title:   Leptonic CP Violation: Zero, Maximal or Between the Two Extremes?
1.  Y. Farzan
2.  A. Yu . Smirnov
  Status:   Published
  Journal: JHEP
  Vol.:  01
  Year:  2007
  Pages:   059
  Supported by:  IPM
Discovery of the CP-violation in the lepton sector is one of the main challenges of the particle physics. We search for possible principles, symmetries and phenomenological relations, which could lead to particular values of the CP-violating Dirac phase, δ. In this connection we discuss two extreme cases (δ = 0, and the maximal CP-violation, δ = ±π/2) and relate them to the peculiar pattern of neutrino mixing. The maximal CP-violation can be related to the νμ − ντ reflection symmetry. In this paper, we study various aspects of this symmetry and introduce a generalized reflection symmetry that can lead to an arbitrary phase depending on the parameter of the symmetry transformation. We find that the generalized reflection symmetry predicts a simple relation between the Dirac and Majorana phases. We also consider the possibility of certain relations between the CP-violating phases in the quark and lepton sectors.

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