Yasue Laboratory For Elementary Particle Theory 

Home What's New Site Map



Japanese page is HERE

Bi-pair Neutrino Mixing

  • with Teruyuki Kitabayashi, published in Phys. Lett. B 696, No. 5 (2011) 478-481 (Received date: November, 2010).
Share.gif (14997 ???)arXiv:1101.2073

A new type of neutrino mixing named bi-pair neutrino mixing is proposed to describe the current neutrino mixing pattern with a vanishing reactor mixing angle and is determined by a mixing matrix with two pairs of identical magnitudes of matrix elements.  As a result, we predict \sin^2\theta_{12}=1-1/\sqrt{2}\left(\approx 0.293\right) for the solar neutrino mixing and either \sin^2\theta_{23}=\tan^2\theta_{12} or \cos^2\theta_{23}=\tan^2\theta_{12} for the atmospheric neutrino mixing. We determine flavor structure of a mass matrix M, leading to diagonal masses of m_{1,2,3},  and find that \left| M_{\mu \mu } - M_{ee}/t_{12}^2 \right|:\left| {{M_{\mu \tau }}} \right|:\left| M_{\tau \tau } - M_{ee}/t_{12}^2  \right|=t^2_{23}:\left| t_{23} \right|:1 for the normal mass hierarchy if m_1=0, where t_{ij}=\tan\theta_{ij} (i,j=1,2,3) and M_{ij} (i,j=e,\mu,\tau) stand for flavor neutrino masses.  For the inverted mass hierarchy, the bi-pair mixing scheme turns out to satisfy the strong scaling ansatz requiring that \left| {{M_{\mu \mu }}} \right|:\left| {{M_{\mu \tau }}} \right|:\left| {{M_{\tau \tau }}} \right| = 1:\left|t_{23}\right|:t_{23}^2 if m_3=0.


This Web site is maximally optimized for Internet Explorer of Version 3.0 or higher versions.

Internet Explorer

If you have any comments on this Web site (since Dec. 1st, 1997), please let us know: Mail.gif (4196 ???)yasue.
Copyright (c) 1997-2015/02 M. Yasue, Department of Physics, Tokai University.
Last update: 2015/02/11

Microsoft Front Page98