2013/01/31 by Nina Memenga, Werner Rodejohann, He Zhang · 1 citation
Mathematics · Physics and Astronomy · #Antisymmetric relation #Cosmology and Gravitation Theories #Geometry #Homogeneous space #Mathematical physics #Mathematics #Mixing (physics) #Neutrino #Neutrino Physics Research #Particle physics #Particle physics theoretical and experimental studies #Physics #Product (mathematics) #Quantum mechanics #Symmetry (geometry) #hep-ex #hep-ph
paper · pdf · doi:10.1103/physrevd.87.053021
published as Phys. Rev. D 87 (2013) 053021 · 8 pages, 2 figures
openalex publication_date 2013/03/26 · arxiv created 2013/04/02 · arxiv updated 2013/04/04 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Models based on flavor symmetries are the most often studied approaches to explain the unexpected structure of lepton mixing. In many flavor symmetry groups a product of two triplet representations contains a symmetric and an antisymmetric contraction to a triplet. If this product of two triplets corresponds to a Majorana mass term, then the antisymmetric part vanishes, and in economic models tribimaximal mixing is achieved. If neutrinos are Dirac particles, the antisymmetric part is, however, present and leads to deviations from tribimaximal mixing, in particular, nonzero Ue3. Thus, the nonvanishing value of Ue3 and the nature of the neutrino are connected. We illustrate this with a model based on A4 within the framework of a neutrinophilic two Higgs doublet scenario.