Abelian symmetries as the source of the small neutrino-related flavor parameters
arXiv:1211.6252
Abstract
There are four neutrino-related flavor parameters that have been measured: The three mixing angles s_{23}, s_{12}, s_{13}, and the ratio of mass-squared differences r_{23}. Of these, the first two are order one. On the other hand, s_{13} and r_{23} can be either order-one parameters that are accidentally somewhat small, or they are small for a reason, for example, they vanish in the limit of a symmetry that is broken by small parameters. We show that in the latter case, the Froggatt-Nielsen mechanism could explain the smallness of s_{13} and r_{23} only if some order-one coefficients are as small as the symmetry-breaking parameters. It is thus very unlikely that an Abelian symmetry is responsible for the smallness of s_{13} and r_{23}.
References in corpus (15)
- Observation of electron-antineutrino disappearance at Daya Bay
- Observation of Reactor Electron Antineutrino Disappearance in the RENO Experiment
- Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
- Indication for the disappearance of reactor electron antineutrinos in the Double Chooz experiment
- Improved search for muon-neutrino to electron-neutrino oscillations in MINOS
- Tri-Bimaximal Neutrino Mixing, A4 and the Modular Symmetry
- Global analysis of neutrino masses, mixings and phases: entering the era of leptonic CP violation searches
- Global status of neutrino oscillation parameters after Neutrino-2012
- Mass Matrix Models
- Neutrino Mass Anarchy
- Anarchy and Hierarchy
- Oscillations of solar and atmospheric neutrinos
- Lepton Mass Matrix Models
- Pseudo-Dirac Solar Neutrinos
- Neutrino Mixing Anarchy: Alive and Kicking