English

Wolfenstein-like Parametrization of the Neutrino Mixing Matrix

High Energy Physics - Phenomenology 2008-11-26 v2

Abstract

We show that the 3×33\times 3 lepton flavor mixing matrix VV can be expanded in powers of a Wolfenstein-like parameter ΛVμ31/2\Lambda \equiv |V_{\mu 3}| \sim 1/\sqrt{2}, which measures the strength of flavor conversion in atmospheric neutrino oscillations. The term of O(Λ2){\cal O}(\Lambda^2) is associated with the large mixing angle in solar neutrino oscillations. The Dirac phase of CP violation enters at or below O(Λ8){\cal O}(\Lambda^8), and the Majorana phases of CP violation are not subject to the Λ\Lambda-expansion. Terrestrial matter effects on this new parametrization in realistic long-baseline neutrino oscillation experiments are briefly discussed. Some comments are also given on the possible relation between Λ\Lambda and a relatively weak hierarchy of neutrino masses.

Keywords

Cite

@article{arxiv.hep-ph/0211465,
  title  = {Wolfenstein-like Parametrization of the Neutrino Mixing Matrix},
  author = {Zhi-zhong Xing},
  journal= {arXiv preprint arXiv:hep-ph/0211465},
  year   = {2008}
}

Comments

RevTex 9 pages. Some changes made and more discussions added