2003/03/31 by Ernest Ma · 2 citations
Mathematics · Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Basis (linear algebra) #CP violation #Combinatorics #Computer science #Discrete symmetry #Geometry #Homogeneous space #Integer (computer science) #MAJORANA #Mass matrix #Mathematics #Matrix (chemical analysis) #Neutrino #Neutrino Physics Research #Neutrino oscillation #Particle physics #Particle physics theoretical and experimental studies #Physics #Symmetry (geometry) #Unitary matrix #Unitary state #hep-ph
paper · pdf · doi:10.1103/physrevlett.90.221802
published as Phys.Rev.Lett. 90 (2003) 221802 · Version to appear in PRL
arxiv created 2003/05/01 · openalex publication_date 2003/06/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Consider the most general 3\ifmmode×\else\texttimes\fi3 Majorana neutrino mass matrix M. Motivated by present neutrino-oscillation data, much theoretical effort is directed at reducing it to a specific texture in terms of a small number of parameters. This procedure is often ad hoc. I propose instead that for any M one may choose, it should satisfy the condition UMUT=M, where U\ensuremath≠1 is a specific unitary matrix such that UN represents a well-defined discrete symmetry in the \ensuremathν_e,\ensuremathμ,\ensuremathτ basis, N being a particular integer not necessarily equal to 1. I illustrate this idea with a number of examples, including the realistic case of an inverted hierarchy of neutrino masses.