Neutrino Mass Matrices With Vanishing Determinant

Abstract

We investigate the prospects for neutrinoless double beta decay, texture zeros and equalities between neutrino mass matrix elements in scenarios with vanishing determinant mass matrices for vanishing and finite ${\theta }_{13}$ mixing angle in normal and inverse mass hierarchies. For normal hierarchy and both zero and finite ${\theta }_{13}$ it is found that neutrinoless double beta decay cannot be observed by any of the present or next generation experiments, while for inverse hierarchy it is, on the contrary, accessible to experiments. Regarding texture zeros and equalities between mass matrix elements, we find that in both normal and inverse hierarchies with ${\theta }_{13}=0$ no texture zeros nor any such equalities can exist apart from the obvious ones. For ${\theta }_{13}\ne 0$ some texture zeros become possible. In normal hierarchy two texture zeros occur if $8.1\times 10^{-2}\le |sin{\theta }_{13}|\le 9.1\times 10^{-2}$ while in inverse hierarchy three are possible, one with $|sin{\theta }_{13}|\ge 7\times 10^{-3}$ and two others with $|sin{\theta }_{13}|\ge 0.18$. All equalities between mass matrix elements are impossible with ${\theta }_{13}\ne 0$.

20 pages, 3 figures, extended version of hep-ph/0510272 to include analysis of finite, small θ_{13}

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Cited by in corpus (19)

• The Elements of the Neutrino Mass Matrix: Allowed Ranges and Implications of Texture Zeros
• Phenomenology of Two-Texture Zero Neutrino Mass Matrices
• Model Predictions for Neutrino Oscillation Parameters
• Phenomenological Implications of a Class of Neutrino Mass Matrices
• Neutrino Mass Matrices with a Texture Zero and a Vanishing Minor
• Neutrino Parameter Space for a Vanishing $ee$ Element in the Neutrino Mass Matrix
• Neutrino mass textures with one vanishing minor and two equal cofactors
• Non-zero ${\theta }_{13}$ and CP-violation in inverse neutrino mass matrix
• Fitting flavour symmetries: the case of two-zero neutrino mass textures
• Parallel hybrid textures of lepton mass matrices
• Parallel Texture Structures with Cofactor Zeros in Lepton Sector
• CP Violation in Two Zero Texture Neutrino Mass Matrices
• Parallel Lepton Mass Matrices with Texture and Cofactor Zeros
• Neutrino mass matrices with one texture equality and one vanishing neutrino mass
• CP-odd weak basis invariants and texture zeros
• Mass characteristics of active and sterile neutrinos in a phenomenological (3+1+2)-model
• Four Zero Texture Fermion Mass Matrices in SO(10) GUT
• Phenomenological Implications of a Class of Lepton Mass Matrices
• Partial $\mu -\tau$ Textures and Leptogenesis