Reduction of $SU_f(3)\supset SO(3)\supset A_4$ -- The scalar potential

Centre for the Subatomic Structure of Matter (CSSM); J. D. Vergados (ARC Centre of Excellence in Particle Physics at the Terascale; University of Adelaide)

arxiv: 1604.00678 · v3 · pith:VPEONLTJnew · submitted 2016-03-19 · ⚛️ physics.gen-ph · hep-th

Reduction of SU_f(3)supset SO(3)supset A₄ -- The scalar potential

J. D. Vergados (ARC Centre of Excellence in Particle Physics at the Terascale , Centre for the Subatomic Structure of Matter (CSSM) , University of Adelaide) This is my paper

classification ⚛️ physics.gen-ph hep-th

keywords supsetsymmetryscalarallowedanalyzedbreakingchainconstructed

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We examine the possibility of the flavor symmetry being $SU_f(3)$ in which the phenomenologically successful discreet symmetry $A_4$ is embedded. The allowed quadratic and quartic potentials are constructed exploiting the full symmetry chain $SU(3)\supset SO(4)\supset A_4$. The spontaneous symmetry breaking involving the $SU(3)$ octet scalar fields is analyzed.

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Reduction of SU_f(3)supset SO(3)supset A₄ -- The scalar potential

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