Can the Zee Model Explain the Observed Neutrino Data?

2001/04/30 by Yoshio Koide · 10 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.64.077301

published as Phys.Rev. D64 (2001) 077301 · Latex file, 10 pages, 1 figure, explanations and references added, typos corrected, to be published in Phys.Rev.D

arxiv created 2001/06/21 · openalex publication_date 2001/08/14 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The eigenvalues and mixing angles in the Zee model are investigated parameter-independently. When we require |Δm²₁₂/Δm²₂₃| ≪ 1 in order to understand the solar and atmospheric data simultaneously, the only solution is one which gives bi-maximal mixing. It is pointed out that the observed values sin² 2θ_solar ≃ 0.66 in the MSW LMA solution cannot be explained within the framework of the Zee model, because we derive a severe constraint on the value of sin² 2 θ_solar, sin² 2 θ_solar ≥ 1 -(1/16)(Δm²_solar/Δm²_atm)².

Citations

• Atmospheric ratio in the multi-GeV energy range

Cited by

• New trends in the Zee model
• Large solar neutrino mixing and radiative neutrino mechanism
• Charge breaking bounds in the Zee model
• Escape from washing out of baryon number in a two-zero-texture general Zee model compatible with the large mixing angle MSW solution
• An R-parity conserving radiative neutrino mass model without right-handed neutrinos
• Neutrino masses with a “zero sum” condition:mν1+mν2+mν3=0
• Minimal schemes for large neutrino mixings with inverted hierarchy
• Testing neutrino mass matrices with approximate Le–Lμ–Lτ symmetry
• Radiative neutrino mass generation through vectorlike quarks
• Flavor symmetryLe−Lμ−Lτ, atmospheric neutrino mixing, andCPviolation in the lepton sector