Eur. Phys. J. C (2009) 63: 521-526
https://doi.org/10.1140/epjc/s10052-009-1124-x

Letter

Tri-bimaximal mixing from twisted Friedberg–Lee symmetry

¹ Department of Physics, National Tsing Hua University, Hsinchu, Taiwan 300,
² Department of Physics, Graduate School of Science, Osaka University, Toyonaka, Osaka, 560-0043, Japan

^* e-mail: araki@phys.nthu.edu.tw

Received: 29 March 2009
Revised: 6 July 2009
Published online: 27 August 2009

Abstract

We investigate the Friedberg–Lee (FL) symmetry and its promotion to include the μ–τ symmetry, and call this the twisted FL symmetry. Based on the twisted FL symmetry, two possible schemes are presented toward the realistic neutrino mass spectrum and the tri-bimaximal mixing. In the first scheme, we suggest the semi-uniform translation of the FL symmetry. The second one is based on the S ₃ permutation family symmetry. The breaking terms, which are twisted FL symmetric, are introduced. Some viable models in each scheme are also presented.