Prediction of Ue3in neutrino mass matrix with two zeros

2003/03/31 by Mizue Honda, Satoru Kaneko, Morimitsu Tanimoto · 4 citations
Mathematics · Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Combinatorics #Diagonal #Electron #Geometry #Lepton #Mass matrix #Mathematical analysis #Mathematics #Matrix (chemical analysis) #Neutrino #Neutrino Physics Research #Nuclear physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum mechanics #Radiative transfer #Stability (learning theory) #Upper and lower bounds #hep-ph

paper · pdf · doi:10.1088/1126-6708/2003/09/028

published as JHEP 0309 (2003) 028 · Figures and discussions are added

openalex publication_date 2003/09/11 · arxiv created 2003/09/27 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We have discussed predictions of |U_e3| and J_CP in the framework of the neutrino mass matrix with two zeros. In the case of the best fit values of tan²θ₁₂, tan²θ₂₃, Δm²_{\rm sun} and Δm_{\rm atm}², the prediction of |U_e3| is 0.11∼ 0.14. The lower bound of |U_e3| is 0.05, which depends on tanθ₁₂ and tanθ₂₃. We have investigated the stability of these predictions taking account of small corrections to zeros, which may come from radiative corrections or off-diagonal elements of the charged lepton massmatrix. The lower bound of |U_e3| comes down considerably due to the small corrections to zeros.

Citations

• Neutrino Mass Matrix Out of Up-Quark Masses Only
• Direct Evidence for Neutrino Flavor Transformation from Neutral-Current Interactions in the Sudbury Neutrino Observatory
• Texture zeros and majorana phases of the neutrino mass matrix
• Measurement of Day and Night Neutrino Energy Spectra at SNO and Constraints on Neutrino Mixing Parameters
• Remarks on the Unified Model of Elementary Particles
• Commutator of the Quark Mass Matrices in the Standard Electroweak Model and a Measure of MaximalCPNonconservation
• A new lepton-quark mass relation in a unified theory
• Zeroes of the neutrino mass matrix
• Measurement of the Rate ofνe+d→p+p+e−Interactions Produced byB<mml:mprescripts/>8Solar Neutrinos at the Sudbury Neutrino Observatory

Cited by

• Further study on the textures of neutrino mass matrix for maximal atmospherical mixing angle and Dirac CP phase
• Doubly charged scalar decays in a type II seesaw scenario with two Higgs triplets
• Fritzsch neutrino mass matrix fromS3symmetry
• Protecting the primordial baryon asymmetry in the seesaw model compatible with WMAP and KamLAND