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Softly brokenμ↔τsymmetry in the minimal seesaw model

2007/11/30 by Juan Carlos Gómez-Izquierdo, Abdel Pérez-Lorenzana · 1 citation
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Neutrino Physics Research #Particle physics theoretical and experimental studies #hep-ph

paper · pdf · doi:10.1103/physrevd.77.113015

published as Phys.Rev.D77:113015,2008 · Typos corrected. References and short discussions added. Final version, 6 pages, 2 figures

openalex publication_date 2008/06/26 · arxiv created 2008/06/27 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Neutrino oscillations data indicates that neutrino mixings are consistent with an apparent \ensuremathν_\ensuremathμ\ensuremath-\ensuremathν_\ensuremathτ exchange symmetry in neutrino mass matrix. We observe that in the minimally extended standard model with the seesaw mechanism, one can impose \ensuremathμ\ensuremath↔\ensuremathτ symmetry at the tree level on all Lagrangian terms, but for the mass difference among \ensuremathμ and \ensuremathτ leptons. In the absence of any new extra physics, this mass difference becomes the only source for the breaking of such a symmetry, which induces, via quantum corrections, small but predictable values for \ensuremathθ13, and for the deviation of \ensuremathθATM from maximality. In the CP conserving case, the predictions only depend on neutrino mass hierarchy and may provide a unique way to test for new physics with neutrino experiments.

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