2006/11/30 by Shu Luo, Zhi‐zhong Xing, Zhi-zhong Xing · 1 citation
Mathematics · Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Geometry #Invariant (physics) #MAJORANA #Massless particle #Mathematical physics #Mathematics #Neutrino #Neutrino Physics Research #Particle physics #Particle physics theoretical and experimental studies #Physics #Seesaw mechanism #Symmetry (geometry) #Symmetry breaking #hep-ex #hep-ph
paper · pdf · doi:10.1016/j.physletb.2007.01.040
published as Phys.Lett.B646:242-247,2007 · RevTex 9 pages, 2 PS figures. More discussions added. Version accepted for publication in Phys. Lett. B
arxiv created 2007/01/30 · openalex publication_date 2007/02/05 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We consider an effective Majorana neutrino mass operator with the Friedberg–Lee symmetry; i.e., it is invariant under the transformation να→να+z (for α=e,μ,τ) with z being a space–time independent constant element of the Grassmann algebra. We show that this new flavor symmetry can be broken in such a nontrivial way that the lightest neutrino remains massless but an experimentally-favored neutrino mixing pattern is achievable. In particular, we get a novel prediction for the unknown neutrino mixing angle θ13 in terms of two known angles: sinθ13=tanθ12|(1−tanθ23)/(1+tanθ23)|. The model can simply be generalized to accommodate CP violation and be combined with the seesaw mechanism.