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Flavor symmetry L μ-L τ and quasidegenerate neutrinos

2005/07/26 by W. Rodejohann, Werner Rodejohann, Michael A. Schmidt +1
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #CP violation #Electron #Lepton #Mass matrix #Mathematical physics #Matrix (chemical analysis) #Mixing (physics) #Neutrino #Neutrino Physics Research #Neutrino oscillation #Nuclear physics #Observable #Particle physics #Particle physics theoretical and experimental studies #Physics #Pontecorvo–Maki–Nakagawa–Sakata matrix #Quantum mechanics #Renormalization group #Seesaw mechanism #Seesaw molecular geometry #Sterile neutrino #Symmetry (geometry) #Weinberg angle #hep-ph

paper · pdf · doi:10.1134/s1063778806110056

published as Phys.Atom.Nucl. 69 (2006) 1833-1841 · 15 pages, 2 figures. Prepared for 5th International Conference on Nonaccelerator New Physics (NANP 05), Dubna, Russia, 20-25 Jun 2005

arxiv created 2005/07/26 · openalex publication_date 2006/11/01 · arxiv updated 2009/12/01 · openalex created_date 2017/03/23 · openalex updated_date 2026/08/05

Abstract

Current data implies three simple forms of the neutrino mass matrix, each corresponding to the conservation of a nonstandard lepton charge. While models based on L e and L e-L μ-L τ are well known, little attention has been paid to L μ-L τ. A low-energy mass matrix conserving L μ-L τ implies quasidegenerate light neutrinos. Moreover, it is μ-τ symmetric and therefore (in contrast to L e and L e-L μ-L τ) automatically predicts maximal atmospheric neutrino mixing and zero U e3. A seesaw model based on L μ-L τ is investigated and testable predictions for the neutrino mixing observables are given. Renormalization group running below and in between the seesaw scales is taken into account in our analysis, both numerically and analytically.

Citations