Physics of Type III Seesaw Model with $A_{4}$ Flavor Symmetry

Physics – High Energy Physics – High Energy Physics - Phenomenology

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29 pages, 2 figures and references are added

Scientific paper

We study phenomenological consequences of {\it the Type III seesaw model with an $A_4 \times Z_2$ symmetry}, whose spontaneously breaking scale is much higher than the electroweak scale. At tree level, the tri-bimaximal (TBM) form of the lepton mixing matrix can be obtained from leptonic Yukawa interactions in a natural way. With higher dimensional operators, we explicitly show that the lepton mixing matrix generally has a deviation from the TBM form which can explain the non-zero mixing angle $\theta_{13}$ and all the other neutrino experimental data at $1 \sigma$ level. We further discuss certain scenarios that the deviation of the lepton mixing matrix from the TBM form is originated from pure Type III seesaw effects, which can be differentiated from Type I seesaw ones.

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