Tri-Bimaximal Neutrino Mixing, A4 and the Modular Symmetry

Details Tri-Bimaximal Neutrino Mixing, A4 and the Modular Symmetry Tri-Bimaximal Neutrino Mixing, A4 and the Modular Symmetry

2005-12-08

arxiv.org/abs/hep-ph/0512103v2

Nucl.Phys.B741:215-235,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

21 pages, 1 figure; added section on a see-saw realization; version to appear on Nucl. Phys. B

Scientific paper

10.1016/j.nuclphysb.2006.02.015

We formulate and discuss a 4-dimensional SUSY version of an A4 model for tri-bimaximal neutrino mixing which is completely natural. We also study the next-to-the-leading corrections and show that they are small, once the ratios of A4 breaking VEVs to the cutoff are fixed in a specified interval. We also point out an interesting way of presenting the A4 group starting from the modular group. In this approach, which could be interesting in itself as an indication on a possible origin of A4, the lagrangian basis where the symmetry is formulated coincides with the basis where the charged leptons are diagonal. If the same classification structure in A4 is extended from leptons to quarks, the CKM matrix coincides with the unit matrix in leading order and a study of non leading corrections shows that the departures from unity of the CKM matrix are far too small to accomodate the observed mixing angles.

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