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Right unitarity triangles and tri-bimaximal mixing from discrete symmetries and unification
Conference paper

Right unitarity triangles and tri-bimaximal mixing from discrete symmetries and unification

Martin Spinrath
Proceedings of the 1st Workshop on Flavor Symmetries and Consequences in Accelerators and Cosmology, FLASY 2011, pp.186-190
2011

Abstract

Astronomy and Astrophysics Nuclear and High Energy Physics
We discuss a recently proposed new class of flavour models which predicts both close to tri-bimaximal lepton mixing (TBM) and a right-angled Cabibbo-Kobayashi-Maskawa (CKM) unitarity triangle, α≈ 90°. The ingredients of the models include a supersymmetric (SUSY) unified gauge group such as SU(5), a discrete family symmetry such as A 4 or S 4 , a shaping symmetry including products of Z 2 and Z 4 groups as well as spontaneous CP violation. The vacuum alignment in such models allows a simple explanation of α≈ 90° by a combination of purely real or purely imaginary vacuum expectation values (vevs) of the flavon fields responsible for family symmetry breaking.

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