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 (59)

• Planck 2013 results. XVI. Cosmological parameters
• Direct Evidence for Neutrino Flavor Transformation from Neutral-Current Interactions in the Sudbury Neutrino Observatory
• First Results from KamLAND: Evidence for Reactor Anti-Neutrino Disappearance
• Observation of electron-antineutrino disappearance at Daya Bay
• Indications of Neutrino Oscillation in a 250 km Long-baseline Experiment
• Baryogenesis from Flat Directions of the Supersymmetric Standard Model
• Zeroes of the Neutrino Mass Matrix
• Global constraints on absolute neutrino masses and their ordering
• Texture Zeros and Majorana Phases of the Neutrino Mass Matrix
• Symmetry realization of texture zeros
• Neutrinoless double-beta decay. A brief review
• Two-zero Textures of the Majorana Neutrino Mass Matrix and Current Experimental Tests
• Leptogenesis in Supersymmetric Standard Model with Right-handed Neutrino
• The Elements of the Neutrino Mass Matrix: Allowed Ranges and Implications of Texture Zeros
• Trimaximal mixing with predicted θ_13 from a new type of constrained sequential dominance
• Vanishing Minors in the Neutrino Mass Matrix from Abelian Gauge Symmetries
• Phenomenology of Two-Texture Zero Neutrino Mass Matrices
• Zeros of the inverted neutrino mass matrix
• The reactor mixing angle and CP violation with two texture zeros in the light of T2K
• Zero minors of the neutrino mass matrix
• Radiative Linear Seesaw model, Dark Matter and $U(1{)}_{B-L}$
• Fine-tuning and naturalness issues in the two-zero neutrino mass textures
• One vanishing minor in the neutrino mass matrix
• Phenomenological Implications of a Class of Neutrino Mass Matrices
• Impacts of dark energy on weighing neutrinos: mass hierarchies considered
• Weak Basis Transformations and Texture Zeros in the Leptonic Sector
• Implications of a class of neutrino mass matrices with texture zeros for non-zero ${\theta }_{13}$
• Neutrino Masses with "Zero Sum" Condition: $m_{{\nu }_1}+m_{{\nu }_2}+m_{{\nu }_3}=0$
• Hybrid Textures of Neutrinos
• Near Maximal Atmospheric Mixing in Neutrino Mass Matrices with Two Vanishing Minors
• Texture 4 zero Fritzsch-like lepton mass matrices
• Reheating-temperature independence of cosmological baryon asymmetry in Affleck-Dine leptogenesis
• Phenomenological Analysis of Hybrid Textures of Neutrinos
• Affleck-Dine Leptogenesis with an Ultralight Neutrino
• Neutrino Mass Matrices with a Texture Zero and a Vanishing Minor
• Low-Energy Predictions of Lopsided Family Charges
• Neutrino mass matrices with one texture zero and a vanishing neutrino mass
• Two-parameter neutrino mass matrices with two texture zeros
• Hybrid Textures of Majorana Neutrino Mass Matrix and Current Experimental Tests
• Neutrino Parameter Space for a Vanishing $ee$ Element in the Neutrino Mass Matrix
• Implications of Fritzsch-like lepton mass matrices
• Texture specific mass matrices with Dirac neutrinos and their implications
• Neutrino Mass Matrices with Two Equalities Between the Elements or Cofactors
• Neutrino mass textures with one vanishing minor and two equal cofactors
• Non-zero ${\theta }_{13}$ and CP-violation in inverse neutrino mass matrix
• Texture and Cofactor Zeros of the Neutrino Mass Matrix
• Affleck-Dine baryo/leptogenesis with a gauged U(1)(B-L)
• Neutrino Mass Matrices with Two Vanishing Elements/Cofactors
• Neutrino Mass Matrices With Vanishing Determinant
• Non-diagonal charged lepton mass matrix and non-zero ${\theta }_{13}$
• Neutrino Mass Matrices with Vanishing Determinant and ${\theta }_{13}$
• Tribimaximal mixing in neutrino mass matrices with texture zeros or vanishing minors
• Textures with two traceless submatrices of the neutrino mass matrix
• Parallel Texture Structures with Cofactor Zeros in Lepton Sector
• Hybrid Textures of the Right-Handed Majorana Neutrino Mass Matrix
• Relating large $U_{e3}$ to the ratio of neutrino mass-squared differences
• Charged Lepton Corrections to Scaling Neutrino Mixing
• Parallel Lepton Mass Matrices with Texture and Cofactor Zeros
• Neutrino Mass Textures and Partial $\mu$-$\tau$ Symmetry

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• Impacts of gravitational-wave standard siren observations from Einstein Telescope and Cosmic Explorer on weighing neutrinos in interacting dark energy models
• Fitting flavour symmetries: the case of two-zero neutrino mass textures
• Constraints on neutrino mass in the scenario of vacuum energy interacting with cold dark matter after Planck 2018
• 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
• Texture of One Equality in Neutrino Mass Matrix
• Phenomenology of Trimaximal mixing with one texture equality
• New possibilities of hybrid texture of neutrino mass matrix