Neutrino mass matrices with one texture equality and one vanishing neutrino mass

Abstract

In the light of latest data of neutrino oscillation experiments, we carry out a systematic investigation on the texture structures of Majorana neutrino mass matrix $M_{\nu }$, which contain one vanishing neutrino mass and an equality between two matrix elements. Among 15 logically possible patterns, it is found that for norm order ($m_3>m_2>m_1=0$) of neutrino masses only five of them are compatible with recent experimental data at the $3\sigma$ level, while for inverted order ($m_2>m_1>m_3=0$) ten patterns is phenomenologically allowed. In the numerical analysis, we perform a scan over the parameter space of all viable patterns to get a large sample of scattering points. We present the implications of each allowed pattern for three mixing angles $({\theta }_{12},{\theta }_2,{\theta }_3)$, leptonic CP violation and neutrinoless double-beta decay, predicting strong correlations between oscillation parameters. The theoretical realization of a concrete example is discussed in the framework of Froggatt-Nielsen mechanism.

References in corpus (16)

• Observation of electron-antineutrino disappearance at Daya Bay
• Vanishing Minors in the Neutrino Mass Matrix from Abelian Gauge Symmetries
• Phenomenology of Two-Texture Zero Neutrino Mass Matrices
• Zero minors of the neutrino mass matrix
• Phenomenological Implications of a Class of Neutrino Mass Matrices
• Weak Basis Transformations and Texture Zeros in the Leptonic Sector
• Impacts of dark energy on weighing neutrinos: mass hierarchies considered
• Texture 4 zero Fritzsch-like lepton 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
• Implications of Fritzsch-like lepton mass matrices
• Neutrino Mass Matrices with Two Equalities Between the Elements or Cofactors
• Texture specific mass matrices with Dirac neutrinos and their implications
• Neutrino Mass Matrices With Vanishing Determinant
• Tribimaximal mixing in neutrino mass matrices with texture zeros or vanishing minors
• Textures with two traceless submatrices of the neutrino mass matrix

Cited by in corpus (3)

• Two simple textures of the magic neutrino mass matrix
• New Hybrid Textures for Neutrino Mass Matrices
• Study of neutrino mass matrices with vanishing trace and one vanishing minor