TY - JOUR
T1 - Tri-bimaximal neutrino mixing and the family symmetry Z7 ⋊ Z3
AU - Luhn, Christoph
AU - Nasri, Salah
AU - Ramond, Pierre
N1 - Funding Information:
We are grateful for inspiring discussions with G.G. Ross. The work of one of the authors (C.L.) is supported by the University of Florida through the Institute for Fundamental Theory and that of two of the authors (S.N. and P.R.) is supported by the Department of Energy Grant No. DE-FG02-97ER41029.
PY - 2007/8/16
Y1 - 2007/8/16
N2 - 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, S4 which, along with its own A4 subgroup, has been successfully applied in numerous models of flavor, as well as the 21 element Frobenius group Z7 ⋊ Z3, 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.
AB - 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, S4 which, along with its own A4 subgroup, has been successfully applied in numerous models of flavor, as well as the 21 element Frobenius group Z7 ⋊ Z3, 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.
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U2 - 10.1016/j.physletb.2007.06.059
DO - 10.1016/j.physletb.2007.06.059
M3 - Article
AN - SCOPUS:34547430012
SN - 0370-2693
VL - 652
SP - 27
EP - 33
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
IS - 1
ER -