SUSY SU(5) with singlet plus adjoint matter and A4 family symmetry

Details SUSY SU(5) with singlet plus adjoint matter and A4 family symmetry SUSY SU(5) with singlet plus adjoint matter and A4 family symmetry

2010-04-19

arxiv.org/abs/1004.3243v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

16 pages, 1 figure

Scientific paper

We propose a supersymmetric (SUSY) SU(5) Grand Unified Theory (GUT) including a single right-handed neutrino singlet and an adjoint matter representation below the GUT scale and extend this model to include an A4 family symmetry and a gauged anomaly-free Abelian group. In our approach hierarchical neutrino masses result from a combined type I and type III seesaw mechanism, and the A4 symmetry leads to tri-bimaximal mixing which arises indirectly. The mixing between the single right-handed neutrino and the matter in the adjoint is forbidden by excluding an adjoint Higgs, leading to a diagonal heavy Majorana sector as required by constrained sequential dominance. The model also reproduces a realistic description of quark and charged lepton masses and quark mixings, including the Georgi-Jarlskog relations and the leptonic mixing sum rules s=r*cos(delta) and a=-r^2/4 with r=theta_C/3.

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