A three-parameter neutrino mass matrix with maximal CP violation

2008/10/24 by Walter Grimus, W. Grimus, L. Lavoura · 1 citation
Mathematics · Physics and Astronomy · #Astrophysics and Cosmic Phenomena #CP violation #Mass matrix #Mathematics #Neutrino #Neutrino Physics Research #Particle physics #Particle physics theoretical and experimental studies #Physics #hep-ph

paper · pdf · doi:10.1016/j.physletb.2008.12.041

published as Phys.Lett.B671:456-461,2009 · 15 pages, one figure

arxiv created 2008/10/24 · openalex publication_date 2008/12/25 · arxiv updated 2010/04/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Using the seesaw mechanism, we construct a model for the light-neutrino Majorana mass matrix which yields trimaximal lepton mixing together with maximal CP violation and maximal atmospheric-neutrino mixing. We demonstrate that, in our model, the light-neutrino mass matrix retains its form under the one-loop renormalization-group evolution. With our neutrino mass matrix, the absolute neutrino mass scale is a function of |U_e3| and of the atmospheric mass-squared difference. We study the effective mass in neutrinoless double beta-decay as a function of |U_e3|, showing that it contains a fourfold ambiguity.

Citations

• Review of Particle Physics
• S3 symmetry and tri-bimaximal mixing
• A model realizing the Harrison-Perkins-Scott lepton mixing matrix
• Status of global fits to neutrino oscillations
• Three-flavour neutrino oscillation update
• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)

Cited by

• Possible alternatives to tri-bimaximal mixing