English

Neutrino Mixing and Leptonic CP Phase in Neutrino Oscillations

High Energy Physics - Phenomenology 2009-11-07 v3

Abstract

Oscillations of the Dirac neutrinos of three generations in vacuum are considered with allowance made for the effect of the CP-violating leptonic phase (analogue of the quark CP phase) in the lepton mixing matrix. The general formulas for the probabilities of neutrino transition from one sort to another in oscillations are obtained as functions of three mixing angles and the CP phase. It is found that the leptonic CP phase can, in principle, be reconstructed by measuring the oscillation-averaged probabilities of neutrino transition from one sort to another. The manifestation of the CP phase as a deviation of the probabilities of direct processes from those of inverse processes is an effect that is practically unobservable as yet.

Keywords

Cite

@article{arxiv.hep-ph/0110329,
  title  = {Neutrino Mixing and Leptonic CP Phase in Neutrino Oscillations},
  author = {D. A. Ryzhikh and K. A. Ter-Martirosyan},
  journal= {arXiv preprint arXiv:hep-ph/0110329},
  year   = {2009}
}