2007/07/31 by Florian Plentinger, Gerhart Seidl, Walter Winter · 2 citations
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Neutrino Physics Research #Particle physics theoretical and experimental studies #hep-ph
paper · pdf · doi:10.1103/physrevd.76.113003
published as Phys.Rev.D76:113003,2007 · 40 pages, 9 figures, 5 tables. Several typos corrected and references added, final version to appear in PRD. A complete list of the 1981 normal hierarchy textures can be obtained at http://theorie.physik.uni-wuerzburg.de/~winter/Resources/SeeSawTex/
arxiv created 2007/12/14 · openalex publication_date 2007/12/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We systematically construct realistic mass matrices for the type-I seesaw mechanism out of more than 20\ifmmode×\else\texttimes\fi1012 possibilities. We use only very generic assumptions from extended quark-lepton complementarity, i.e., the leptonic mixing angles between flavor and mass eigenstates are either maximal or parametrized by a single small quantity ϵ that is of the order of the Cabibbo angle ϵ\ensuremath≃\ensuremathθC. The small quantity ϵ also describes all fermion mass hierarchies. We show that special cases often considered in the literature, such as having a symmetric Dirac mass matrix or small mixing among charged leptons, constitute only a tiny fraction of our possibilities. Moreover, we find that in most cases the spectrum of right-handed neutrino masses is only mildly hierarchical. As a result, we provide for the charged leptons and neutrinos a selected list of 1981 qualitatively different Yukawa coupling matrices (or textures) that are parametrized by the Cabibbo angle and allow for a perfect fit to current data. In addition, we also briefly show how the textures could be generated in explicit models from flavor symmetries.