2012/07/31 by J. Alberto Acosta, Alfredo Aranda, Manuel A. Buen-Abad +1 · 2 citations
Mathematics · Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Diagonal #Geometry #Lepton #Mass matrix #Mathematics #Matrix (chemical analysis) #Mixing (physics) #Neutrino #Neutrino Physics Research #Nuclear physics #Parametrization (atmospheric modeling) #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #Yukawa potential #Zero (linguistics) #hep-ph
paper · pdf · doi:10.1016/j.physletb.2012.12.038
published as Physics Letters B 718 (2013)1413-1420 · 16 pages, two figures. A parametrization of the mixing matrix $U_l$ was introduced to explain observed patterns in textures. References added
arxiv created 2012/12/13 · openalex publication_date 2012/12/20 · arxiv updated 2014/06/10 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Assuming that the neutrino mass matrix is diagonalized by the tribimaximal mixing matrix, we explore the textures for the charged lepton mass matrix that render a U PMNS lepton mixing matrix consistent with data. In particular we are interested in finding the textures with the maximum number of zeros. We explore the cases of real matrices with three and four zeros and find that only ten matrices with three zeros provide solutions in agreement with data. We present the successful Yukawa textures including the relative sizes of their non-zero entries as well as some new and interesting relations among the entries of these textures in terms of the charged lepton masses. We also show that these relations can be obtained directly from a parametrization of the charged lepton mixing matrix U l .