Zeroes of the Neutrino Mass Matrix

Abstract

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.

Version to appear in PLB

Cited by in corpus (280)

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• Discriminating Majorana Neutrino Textures in the light of Baryon Asymmetry
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• Study of Two-Loop Neutrino Mass Generation Models
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• Scalar Triplet Leptogenesis with a CP violating phase
• Supersymmetric threshold corrections to Δm^2_{\odot}
• The Texture One Zero Neutrino Mass Matrix With Vanishing Trace
• 3D mapping of the effective Majorana neutrino masses with neutrino oscillation data
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• Neutrino mass matrices with three or four vanishing cofactors and non diagonal charged lepton sector
• Neutrino observables from predictive flavour patterns
• Dual models of the neutrino mass spectrum
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• Gauged $U(1{)}_{L_{\mu }-L_{\tau }}$ Symmetry and two-zero Textures of Inverse Neutrino Mass Matrix in light of Muon ($g-2$)
• Two-zero textures based on $A_4$ symmetry and unimodular mixing matrix
• Neutrino masses and mixing from hierarchy and symmetry
• Investigating texture six zero lepton mass matrices
• Universality of Yukawa Couplings Confronts Recent Neutrino Data
• Lepton mixing and the charged-lepton mass ratios
• Implications of the Dark-LMA solution for neutrino mass matrices
• Revisiting Majorana Neutrino Textures in the Light of Dark LMA
• Covert symmetries in the neutrino mass matrix
• A new texture of neutrino mass matrix with three constraints
• Protecting the primordial baryon asymmetry in the seesaw model compatible with WMAP and KamLAND
• Leptonic Invariants, Neutrino Mass-Ordering and the Octant of ${\theta }_{23}$
• A neutrino mixing model based on an $A_4\times Z_3\times Z_4$ flavour symmetry
• Five models for lepton mixing
• CP Violation in Predictive Neutrino Mass Structures
• Minimal lepton flavour structures lead to non-maximal 2-3 mixing
• Phenomenology of Trimaximal mixing with one texture equality
• Neutrino mixing matrix and masses from a generalized Friedberg-Lee model
• New possibilities of hybrid texture of neutrino mass matrix
• Revisiting the two-zero texture Majorana neutrino mass matrix
• The Majorana neutrino mass matrix indicated by the current data
• CP-odd Weak Basis Invariants for Neutrino Mass Matrices with a Texture Zero and a Vanishing Minor
• Connecting Majorana phases to the Geometric Parameters of Majorana Unitarity Triangle in a model of Neutrino Mass Matrix
• Magic square and three-zero textures for Dirac neutrinos
• More models for lepton mixing with four constraints
• The special Two zeros texture based on $A_4$ symmetry and perturbation method
• The discrete charm of flavour and CP violation
• Modified TM2 for Reproducing All Best-Fit Values of Neutrino Mixing Angles
• Is magic texture for Majorana neutrino immanent in Dirac nature?
• A new class of invariants in the lepton sector
• Implications of CP invariants for flavoured hybrid neutrino mass matrix
• Investigation of a kind of neutrino mass matrix
• New Constraints on Gauged U(1)${}_{L_{\mu }-L_{\tau }}$ Models via $Z-Z^{\prime }$ Mixing
• Two-zero textures for Dirac Neutrinos
• Neutrino Oscillations in the Three Flavor Paradigm
• Bi-Large Neutrino Mixing See-Saw Mass Matrix with Texture Zeros and Leptogenesis
• Aspects of Neutrino Mass Matrices
• Fermion masses and mixing in SO(10) GUT with a universal two-zero texture
• Neutrino mass and charged lepton flavor violation in an extended left-right symmetric model
• Investigating two-zero texture in the light of gauged Type-II seesaw
• Obtaining nonvanishing ${\theta }_{13}$ with constrained neutrino Yukawa matrix and implications for flavor model buildings
• Minimal structure for neutrino mass matrix
• Aligned Zee-Grimus-Neufeld model for $(g-2{)}_{\mu }$