Modified Zee mass matrix with zero-sum condition

Abstract

We modify the Zee mass matrix by adding a real one parameter perturbation which is purely diagonal and trace-less. We show that in this way we can explain both solar and atmospheric neutrino oscillation data. There is a correlation between the deviation from strict maximality of $|U_{\mu 3}|=1/\sqrt{2}$, with the emergence of a small but non-zero $U_{e3}$. We calculate how big a value can $U_{e3}$ get when we restrict ourselves within the allowed regions of solar and atmospheric neutrino masses and mixing angles. We also discuss the impact of a $S_2$ permutation symmetry on our mass matrix and show how a small $U_{e3}\ne 0$ can emerge when this $S_2$ permutation symmetry between the second and the third generation is broken.

Version to appear in Physics Letters B. (17 pages)

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• Inverted Mass Hierarchy from Scaling in the Neutrino Mass Matrix: Low and High Energy Phenomenology
• Lepton Masses in a Minimal Model with Triplet Higgs Bosons and $S_3$ Flavor Symmetry
• Scaling in the Neutrino Mass Matrix, mu-tau Symmetry and the See-Saw Mechanism
• Confusing Sterile Neutrinos with Deviation from Tribimaximal Mixing at Neutrino Telescopes
• Implications of Recent Data on Neutrino Mixing and Lepton Flavour Violating Decays for the Zee Model
• Predictive Model of Radiative Neutrino Masses
• The flavor problem and discrete symmetries