Connection Between the Neutrino Seesaw Mechanism and Properties of the Majorana Neutrino Mass Matrix

Abstract

If it can be ascertained experimentally that the 3X3 Majorana neutrino mass matrix M_nu has vanishing determinants for one or more of its 2X2 submatrices, it may be interpreted as supporting evidence for the theoretically well-known canonical seesaw mechanism. I show how these two things are connected and offer a realistic M_nu with two zero subdeterminants as an example.

title changed, version to appear in PRD(RC)

References in corpus (4)

• Symmetry realization of texture zeros
• Lepton mixing angle ${\theta }_{13}=0$ with a horizontal symmetry $D_4$
• Zeros of the inverted neutrino mass matrix
• Quaternion Family Symmetry of Quarks and Leptons

Cited by in corpus (17)

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• Vanishing Minors in the Neutrino Mass Matrix from Abelian Gauge Symmetries
• Zero minors of the neutrino mass matrix
• Radiative Inverse Seesaw: Verifiable New Mechanism of Neutrino Mass
• A Model of Muon Anomalies
• Neutrino mixing and $R_K$ anomaly in $U(1{)}_X$ models: a bottom-up approach
• Neutrino Mass Matrices with a Texture Zero and a Vanishing Minor
• Zero Textures of the Neutrino Mass Matrix from Cyclic Family Symmetry
• Predictions for the neutrino parameters in the minimal model extended by linear combination of U(1)${}_{L_e-L_{\mu }}$, U(1)${}_{L_{\mu }-L_{\tau }}$ and U(1)${}_{B-L}$ gauge symmetries
• Neutrino mass textures with one vanishing minor and two equal cofactors
• Generalized Gauge U(1) Family Symmetry for Quarks and Leptons
• One diagonal texture or cofactor zero of the neutrino mass matrix
• Dual models of the neutrino mass spectrum
• Perturbed invariant under a cyclic permutation with trace of neutrino mass matrix remain constant
• Utilitarian Supersymmetric Gauge Model of Particle Interactions
• CP-odd Weak Basis Invariants for Neutrino Mass Matrices with a Texture Zero and a Vanishing Minor
• Hierarchical Quark and Lepton Masses with Sequential U(1) Gauge Symmetry