Neutrino masses and mixings with an S3 family permutation symmetry

Details Neutrino masses and mixings with an S3 family permutation symmetry Neutrino masses and mixings with an S3 family permutation symmetry

2005-03-23

arxiv.org/abs/hep-ph/0503234v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

6 pages

Scientific paper

Large neutrino mixing angles suggest that the Yukawa sector is invariant under permutations of the fermion families. This S_{3} permutation symmetry is broken at a large energy scale but much below the unification scale. Assuming that the lepton mass matrix is approximately diagonal, all neutrino mixing angles naturally come from the breaking of S_{3}-> S_{2}. In the neutrino sector, S_{2} remains (approximately) unbroken. As a consequence, we have a large atmospheric neutrino angle and U_{e3}=0. The S_{3} symmetry at the unification scale can also explain the large solar mixing angle. We give an explicit expression of the solar mixing angle in terms of the left-handed neutrino masses. We observe that this family permutation symmetry comes very naturally from a quantized theory of functionals [1], that is an extension of quantum field theory.

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