Neutrino Mass Matrices with Vanishing Determinant and ${\theta }_{13}$

Abstract

We investigate the prospects for scenarios with vanishing determinant neutrino mass matrices and vanishing ${\theta }_{13}$ mixing angle. Normal and inverse mass hierarchies are considered separately. For normal hierarchy it is found that neutrinoless double beta decay cannot be observed by any of the present or next generation experiments. For inverse hierarchy the neutrinoless double beta decay is, on the contrary, accessible to experiments. We also analyse for both hierarchies the case for texture zeros and equalities between mass matrix elements. No texture zeros are found to be possible nor any such equalities, apart from the obvious ones.

14 pages, 1 figure

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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