Yasue Laboratory For Elementary Particle Theory 

Home What's New Site Map



Japanese page is HERE

Flavor Neutrino Masses giving sinθ13=0

  • with Keisuke Yuda, published in Phys. Lett. B 693, No. 5 (2010) 571-574 (Received date: September, 2010).
Share.gif (14997 ???)arXiv:1009.xxxx

Among neutrino mixings, the reactor mixing angle, $\theta_{13}$, is observed to be almost vanishing and is consistent with $\theta_{13}=0$. We discuss how the condition of $\theta_{13}=0 $ constrains models of neutrino mixingsand show that, for  flavor neutrino masses given by $M_{ij}$ ($i,j$=$e,\mu,\tau$),two conditions of $M_{e\tau } =  - e^{2i\gamma }\tan\theta_{23}M_{e\mu }$ and$M_{\tau \tau } = e^{4i\gamma }M_{\mu \mu } + e^{2i\gamma }\left(2/\tan 2\theta_{23}\right)M_{\mu \tau }$lead to $\theta_{13}$=0, where $\theta_{23}$ is the atmospheric neutrino mixing angle and $\gamma$ is its associated phase.  The rephasing invariance can select two phases provided by $\alpha$ = arg($M_{e\mu }$) and $\beta$ = arg($M_{e\tau }$), giving $\gamma=(\beta-\alpha)/2$.


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