Tri-bimaximal neutrino mixing and the family symmetry Z7 x Z3

被引:157
作者
Luhn, Christoph [1 ]
Nasri, Salah [1 ]
Ramond, Pierre [1 ]
机构
[1] Univ Florida, Dept Phys, Inst Fundamental Theory, Gainesville, FL 32611 USA
关键词
D O I
10.1016/j.physletb.2007.06.059
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The non-Abelian finite group PSL2(7) is the only simple subgroup of SU(3) with a complex three-dimensional irreducible representation. It has two maximal subgroups, S-4 which, along with its own A(4) subgroup, has been successfully applied in numerous models of flavor, as well as the 21 element Frobenius group Z(7) x Z(3), which has gained much less attention. We show that it can also be used to generate tri-bimaximal mixing in the neutrino sector, while allowing for quark and charged lepton hierarchies. (c) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码:27 / 33
页数:7
相关论文
共 60 条
[51]   STITCHING THE YUKAWA QUILT [J].
RAMOND, P ;
ROBERTS, RG ;
ROSS, GG .
NUCLEAR PHYSICS B, 1993, 406 (1-2) :19-42
[52]   NEUTRINO OSCILLATIONS FROM DISCRETE NON-ABELIAN FAMILY SYMMETRIES [J].
SCHMALTZ, M .
PHYSICAL REVIEW D, 1995, 52 (03) :1643-1649
[53]   Global fits to neutrino oscillation data [J].
Schwetz, Thomas .
PHYSICA SCRIPTA, 2006, T127 :1-5
[54]  
Thomas A. D., 1980, GROUP TABLES
[55]   Tri-bimaximal neutrino mixing from discrete subgroups of SU(3) and SO(3) family symmetry [J].
Varzielas, I. de Medeiros ;
King, S. F. ;
Ross, G. G. .
PHYSICS LETTERS B, 2007, 644 (2-3) :153-157
[56]   SU(3) family symmetry and neutrino bi-tri-maximal mixing [J].
Varzielas, ID ;
Ross, GG .
NUCLEAR PHYSICS B, 2006, 733 (1-2) :31-47
[57]   DISCRETE FLAVOR SYMMETRIES AND A FORMULA FOR CABIBBO ANGLE [J].
WILCZEK, F ;
ZEE, Z .
PHYSICS LETTERS B, 1977, 70 (04) :418-420
[58]   HORIZONTAL INTERACTION AND WEAK MIXING ANGLES [J].
WILCZEK, F ;
ZEE, A .
PHYSICAL REVIEW LETTERS, 1979, 42 (07) :421-425
[59]  
Yanagida T., 1979, P WORKSHOP UNIFIED T
[60]   Obtaining the neutrino mixing matrix with the tetrahedral group [J].
Zee, A .
PHYSICS LETTERS B, 2005, 630 (1-2) :58-67