English

Maximal CP Violation in Flavor Neutrino Masses

High Energy Physics - Phenomenology 2016-04-20 v3

Abstract

Since flavor neutrino masses Mμμ,ττ,μτM_{\mu\mu,\tau\tau,\mu\tau} can be expressed in terms of Mee,eμ,eτM_{ee,e\mu,e\tau}, mutual dependence among Mμμ,ττ,μτM_{\mu\mu,\tau\tau,\mu\tau} is derived by imposing some constraints on Mee,eμ,eτM_{ee,e\mu,e\tau}. For appropriately imposed constraints on Mee,eμ,eτM_{ee,e\mu,e\tau}, we show a texture of neutrino mass matrix giving rise to maximal CP violation. When the atmospheric neutrino mixing is also maximal, we discuss various specific textures of neutrino mass matrices including the texture with Mττ=MμμM_{\tau\tau}=M^\ast_{\mu\mu} derived as the simplest solution to the constraint of MττMμμM_{\tau\tau}-M_{\mu\mu}=imaginary, which is required by the constraint of Meμcosθ23Meτsinθ23M_{e\mu}\cos\theta_{23}-M_{e\tau}\sin\theta_{23}=real for cos2θ23=0\cos 2\theta_{23}=0. It is found that Majorana CP violation depends on the phase of MeeM_{ee}.

Keywords

Cite

@article{arxiv.1509.06071,
  title  = {Maximal CP Violation in Flavor Neutrino Masses},
  author = {Teruyuki Kitabayashi and Masaki Yasuè},
  journal= {arXiv preprint arXiv:1509.06071},
  year   = {2016}
}

Comments

12 pages, no figure. version accepted for publication in International Journal of Modern Physics A