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Zeroes of the Neutrino Mass Matrix
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Zeroes of the Neutrino Mass Matrix
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We assume there to be precisely three left-handed neutrino states whose Majorana masses are generated by an unspecified mechanism. Were CP conserved, the symmetric neutrino mass matrix M would be real and all six of its distinct entries could be experimentally determined. But CP is not conserved so that M is likely to be complex. As a result, not all nine of its convention-independent real parameters can be determined without an appeal to theory. Thus we examine the possibility that a restricted class of neutrino mass matrices may suffice to describe current data, namely those complex symmetric matrices several of whose entries vanish. We find that there are seven acceptable textures with two independent zeroes, and we explore their contrasting phenomenological implications. Textures with more than two independent zeroes appear to be excluded by experiment.
Forward citations
Cited by 8 Pith papers
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A Minimal Dark $SU(2)$ Origin of a Massless Dirac Neutrino
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With CMB+BAO mass-sum bounds only A1/A2 two-zero textures survive; viable one-zero textures (via flow matching) predict distinct Σmi, ⟨mee⟩, and δCP patterns, realizable by non-invertible selection rules.
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One-Zero Neutrino Textures and Resonant Type-II Leptogenesis: Flavor-Resolved Thermal Evolution and Baryon Asymmetry
Several one-zero neutrino textures remain compatible with oscillation data and generate the baryon asymmetry via resonant Type-II leptogenesis with flavor-resolved Boltzmann evolution.
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Hunting for Neutrino Texture Zeros with Muon and Tau Flavor Violation
Two-zero textures in the neutrino mass matrix produce distinctive, testable correlations among charged lepton flavor violation processes, with some patterns suppressing muon-to-electron transitions while permitting ta...
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JUNO data strongly disfavors Dirac neutrino texture zero pattern C, leaving only patterns A1 and A2 compatible with current oscillation observables.
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