Abstract
We consider the generation of the hierarchical charged lepton spectrum and anarchic neutrino masses and mixing angles in warped extra dimensional models with Randall-Sundrum metric. We have classified all possible cases giving rise to realistic spectra for both Dirac and Majorana neutrinos. An anarchic neutrino spectrum requires a convenient bulk symmetry broken by boundary conditions on both UV and IR branes. We have in particular considered the case of Majorana neutrinos with a continuous bulk symmetry. To avoid unwanted massless extra gauge bosons the 4D group should be empty. If the 4D coset is not vanishing it can provide a Wilson Line description of the neutrino Majorana mass matrix. We have studied an example based on the bulk gauge group \(\mathrm{U}{(3)_{\ell }}\otimes \mathrm{U}{(3)_{\mathcal{N}}}{\otimes_i}\mathrm{U}{(1)_{{{\varepsilon^i}}}}\) with the Wilson Line in \(\mathrm{SO}{(3)_{\mathcal{N}}}\) satisfying all required conditions. A χ 2-fit to experimental data exhibits 95% CL region in the parameter space with no fine- tuning. As a consequence of the symmetries of the theory there is no tree-level induced lepton flavor violation and so one-loop processes are consistent with experimental data forKK-modes about a few TeV. The model is easily generalizable to models with IR deformed metrics with similar conclusions.
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ArXiv ePrint: 1208.4300
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von Gersdorff, G., Quirós, M. & Wiechers, M. Neutrino mixing from Wilson lines in warped space. J. High Energ. Phys. 2013, 79 (2013). https://doi.org/10.1007/JHEP02(2013)079
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DOI: https://doi.org/10.1007/JHEP02(2013)079