Neutrino masses with a “zero sum” condition:mν1+mν2+mν3=0

2003/02/28 by Xiao-Gang He, X. -G. He, A. Zee
Physics and Astronomy · #Approx #Astrophysics and Cosmic Phenomena #Computer science #Neutrino #Neutrino Physics Research #Particle physics #Particle physics theoretical and experimental studies #Physics #Type (biology) #Upper and lower bounds #hep-ex #hep-ph

paper · pdf · doi:10.1103/physrevd.68.037302

published as Phys.Rev.D68:037302,2003 · Latex 12 pages. No figures. New references added

arxiv created 2003/03/11 · openalex publication_date 2003/08/01 · arxiv updated 2014/11/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

It is well known that the neutrino mass matrix contains more parameters than experimentalists can hope to measure in the foreseeable future even if we impose CP invariance. Thus, various authors have proposed Ans"atze to restrict the form of the neutrino mass matrix further. Here we propose that m_\ensuremathν₁+m_\ensuremathν₂+m_\ensuremathν₃=0. With this condition, the absolute neutrino mass can be obtained in terms of the mass-squared differences. When combined with the accumulated experimental data, this condition predicts two types of mass hierarchies, with one of them characterized by m_\ensuremathν₃\ensuremath≈\ensuremath-2m_\ensuremathν₁\ensuremath≈\ensuremath-2m_\ensuremathν₂\ensuremath≈0.063eV, and the other by m_\ensuremathν₁\ensuremath≈\ensuremath-m_\ensuremathν₂\ensuremath≈0.054eV and m_\ensuremathν₃\ensuremath≈0.0064eV. The range predicted for |m_\ensuremathν₁|+|m_\ensuremathν₂|+|m_\ensuremathν₃| is below the cosmological upper bound of 0.69 eV from recent Wilkinson Microwave Anisotropy Probe data and can be probed in the near future. We also point out some implications for direct laboratory measurement of neutrino masses and the neutrino mass matrix.

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