Spontaneous breaking of SU(3) to finite family symmetries: a pedestrian's approach

Details Spontaneous breaking of SU(3) to finite family symmetries: a pedestrian's approach Spontaneous breaking of SU(3) to finite family symmetries: a pedestrian's approach

2011-01-12

arxiv.org/abs/1101.2417v1

JHEP 1103:108,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

21 pages

Scientific paper

10.1007/JHEP03(2011)108

Non-Abelian discrete family symmetries play a pivotal role in the formulation of models with tri-bimaximal lepton mixing. We discuss how to obtain symmetries such as A4, semidirect product of Z7 and Z3, and Delta(27) from an underlying SU(3) gauge symmetry. Higher irreducible representations are required to achieve the spontaneous breaking of the continuous group. We present methods of identifying the required vacuum alignments and discuss in detail the symmetry breaking potentials.

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