The Majorana neutrino mass matrix indicated by the current data

Abstract

The Majorana neutrino mass matrix combines information from the neutrino masses and the leptonic mixing in the flavor basis. Its invariance under some transformation matrices indicates the existence of certain residual symmetry. We offer an intuitive display of the structure of the Majorana neutrino mass matrix, using the whole set of the oscillation data. The structure is revealed depending on the lightest neutrino mass. We find that there are three regions with distinct characteristics of structure. A group effect and the $\mu$-$\tau$ exchange symmetry are observed. Six types of texture non-zeros are shown. Implications for flavor models are discussed.Comment: 18 Latex pages, 8 figure

A Self-Complementary Neutrino Mixing Model

“…We can see that the SC mixing satisfies |U SC |¯i = |U SC | τi , which is the µ-τ exchange symmetry prediction for the mixing [9]. A mass matrix given by Eq.…”

An S 4 model inspired from self-complementary neutrino mixing

“…As can be seen from Eq. (2), the SC mixing satisfies |U SC | µi = |U SC | τ i , which is the µ-τ exchange symmetry prediction for the mixing [29]. The immediate guess would be if we try to construct the mass matrix using Eq.…”

“…, which is the μ-τ exchange symmetry prediction for the mixing [29]. The immediate guess would be if we try to construct the mass matrix using equation (2) directly, we will arrive at a mass matrix resembling the μ-τ exchange symmetry.…”