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Neutrino sector with Majorana mass terms and Friedberg-Lee symmetry

2007/12/06 by Cecilia Jarlskog, C. Jarlskog · 21 citations
Mathematics · Physics and Astronomy · #Geometry #MAJORANA #Massless particle #Mathematics #Neutrino #Neutrino Physics Research #Neutrino oscillation #Noncommutative and Quantum Gravity Theories #Particle physics #Particle physics theoretical and experimental studies #Physics #Right handed #Sterile neutrino #Symmetry (geometry) #Theoretical physics #hep-ph

paper · pdf · doi:10.1103/physrevd.77.073002

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 77(7) (American Physical Society)

arxiv created 2007/12/06 · openalex publication_date 2008/04/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We examine a recently proposed symmetry/condition by Friedberg and Lee in a framework where three right-handed neutrinos are added to the spectrum of the three-family minimal standard model. It is found that the right-handed neutrinos are very special, with respect to this symmetry. In the symmetry limit the neutrinos are massless, which could possibly be a hint about why they are light. Imposed as a condition and not as a full symmetry, we find that one of the three right-handed neutrinos simply decouples (has only gravitational interactions) and one of the interacting neutrinos is massless. The possible relation of the model to the seesaw mechanism is briefly discussed.

Citations