Neutrino tri-bi-maximal mixing from a non-Abelian discrete family symmetry

Details Neutrino tri-bi-maximal mixing from a non-Abelian discrete family symmetry Neutrino tri-bi-maximal mixing from a non-Abelian discrete family symmetry

2006-07-04

arxiv.org/abs/hep-ph/0607045v2

Phys.Lett.B648:201-206,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

v2: Corrected error in Section 3; typos corrected

Scientific paper

10.1016/j.physletb.2007.03.009

The observed neutrino mixing, having a near maximal atmospheric neutrino mixing angle and a large solar mixing angle, is close to tri-bi-maximal. We argue that this structure suggests a family symmetric origin in which the magnitude of the mixing angles are related to the existence of a discrete non-Abelian family symmetry. We construct a model in which the family symmetry is the non-Abelian discrete group $\Delta(27)$, a subgroup of SU(3) in which the tri-bi-maximal mixing directly follows from the vacuum structure enforced by the discrete symmetry. In addition to the lepton mixing angles, the model accounts for the observed quark and lepton masses and the CKM matrix. The structure is also consistent with an underlying stage of Grand Unification.

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