Abstract
We look for predictive flavour patterns of the effective Majorana neutrino mass matrix that are compatible with current neutrino oscillation data. Our search is based on the assumption that the neutrino mass matrix contains equal elements and a minimal number of parameters, in the flavour basis where the charged lepton mass matrix is diagonal and real. Three unique patterns that can successfully explain neutrino observables at the $3\sigma$ confidence level with just three physical parameters are presented. Neutrino textures described by four and five parameters are also studied. The predictions for the lightest neutrino mass, the effective mass parameter in neutrinoless double beta decays and the CP-violating phases in the leptonic mixing are given.
Highlights
Neutrino masses constitute a solid evidence of physics beyond the standard model
In the absence of a compelling theory to explain the origin of the lepton flavour structure, one expects the new physics to shed some light in the flavour puzzle
We shall look for predictive flavour patterns with equal elements in the effective Majorana neutrino mass matrix, and we test their compatibility with data at 3 σ (99.73 %) and 1 σ (68.27 %) confidence levels (CL)
Summary
Neutrino masses constitute a solid evidence of physics beyond the standard model. In the absence of a compelling theory to explain the origin of the lepton flavour structure, one expects the new physics to shed some light in the flavour puzzle. One possible framework is to impose the existence of zero elements in the charged lepton and light neutrino mass matrices. For light Majorana neutrinos, there are nine specific observables that are relevant in the low-energy neutrino analysis: three neutrino masses, three mixing angles, one Dirac CP phase and two Majorana phases These parameters should be determined from the physical parameters that characterize a given neutrino mass matrix. We shall look for predictive flavour patterns with equal elements (and possibly additional zeroes) in the effective Majorana neutrino mass matrix, and we test their compatibility with data at 3 σ (99.73 %) and 1 σ (68.27 %) confidence levels (CL). The predictions for the lightest neutrino mass, effective mass parameter in neutrinoless double beta decays and CP-violating phases in the leptonic mixing are given.
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