Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2010-11-24
Eur.Phys.J.C71:1716,2011
Physics
High Energy Physics
High Energy Physics - Phenomenology
23 pages, 6figures
Scientific paper
10.1140/epjc/s10052-011-1716-0
We study the renormalization group running of the tri-bimaximal mixing predicted by the two typical $S_4$ flavor models at leading order. Although the textures of the mass matrices are completely different, the evolution of neutrino mass and mixing parameters is found to display approximately the same pattern. For both normal hierarchy and inverted hierarchy spectrum, the quantum corrections to both atmospheric and reactor neutrino mixing angles are so small that they can be neglected. The evolution of the solar mixing angle $\theta_{12}$ depends on $\tan\beta$ and neutrino mass spectrum, the deviation from its tri-bimaximal value could be large. Taking into account the renormalization group running effect, the neutrino spectrum is constrained by experimental data on $\theta_{12}$ in addition to the self-consistency conditions of the models, and the inverted hierarchy spectrum is disfavored for large $\tan\beta$. The evolution of light-neutrino masses is approximately described by a common scaling factor.
Ding Gui-Jun
Pan Dong-Mei
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