English

Schematic Method for Estimation of CP Asymmetry in Neutrino Oscillation

High Energy Physics - Phenomenology 2007-05-23 v1

Abstract

Within the framework of three generations of leptons the schematical method for estimating CP asymmetry in neutrino oscillations is considered. We introduce a unitarity triangle corresponding to \nu_e-\nu_{\mu} oscillation, in addition, we show that it is convenient for the estimation to define another new triangle. CP asymmetry is determined by the difference between the shapes of a unitarity triangle and new triangle. As results, (i) we show that CP asymmetry becomes maximal if the shapes of these two triangles are the same. (ii) We can easily estimate L/E which leads almost 100% asymmetry using this. (iii) In \nu_e-\nu_{\mu} oscillation with \sin^2 2\theta_{13} \simeq 0.04, we obtain about 90% asymmetry for LMA MSW scenario and 3% asymmetry for SMA MSW scenario within long baseline neutrino expriments to be realized in near future.

Keywords

Cite

@article{arxiv.hep-ph/0008024,
  title  = {Schematic Method for Estimation of CP Asymmetry in Neutrino Oscillation},
  author = {K. Kimura and A. Takamura},
  journal= {arXiv preprint arXiv:hep-ph/0008024},
  year   = {2007}
}

Comments

10 pages, LaTeX, 8 figures