Neutrino mass matrices with one texture zero and a vanishing neutrino mass

Abstract

Assuming Majorana nature of neutrinos, we investigate the singular one texture zero neutrino mass matrices in the flavor basis. We find that for the normal mass ordering with $m_1=0$, all the six one texture zero classes are now ruled out at 3$\sigma$ confidence level, whereas for inverted mass ordering with $m_3=0$ only four classes out of total six can accommodate the latest neutrino oscillation data at 3$\sigma$ confidence level. Moreover, only two classes can accommodate the present data at 1$\sigma$ confidence level. We examine the phenomenological implications of the allowed classes for the effective Majorana mass, Dirac and Majorana CP-violating phases. Working within the framework of type-I seesaw mechanism, we present simple discrete Abelian symmetry models leading to all the phenomenologically allowed classes.

arXiv comment11 pages, 3 figures, 5 tables

References in corpus (61)

• 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
• Observation of Reactor Electron Antineutrino Disappearance in the RENO Experiment
• Indication of Electron Neutrino Appearance from an Accelerator-produced Off-axis Muon Neutrino Beam
• Indication for the disappearance of reactor electron antineutrinos in the Double Chooz experiment
• Double Beta Decay, Majorana Neutrinos, and Neutrino Mass
• Measurement of Day and Night Neutrino Energy Spectra at SNO and Constraints on Neutrino Mixing Parameters
• Improved search for muon-neutrino to electron-neutrino oscillations in MINOS
• Latest Results from the Heidelberg-Moscow Double Beta Decay Experiment
• Updated fit to three neutrino mixing: status of leptonic CP violation
• Neutrino-less Double Beta Decay and Particle Physics
• Neutrino oscillations refitted
• Cosmological Sign of Neutrino CP Violation
• Zeroes of the Neutrino Mass Matrix
• CUORE: A Cryogenic Underground Observatory for Rare Events
• Texture Zeros and Majorana Phases of the Neutrino Mass Matrix
• Detection of very small neutrino masses in double-beta decay using laser tagging
• Neutrinoless double-beta decay. A brief review
• Two-zero Textures of the Majorana Neutrino Mass Matrix and Current Experimental Tests
• 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
• Zero minors of the neutrino mass matrix
• Three-Neutrino Mass Matrices with Two Texture Zeros
• A complete survey of texture zeros in the lepton mass matrices
• Fine-tuning and naturalness issues in the two-zero neutrino mass textures
• Seesaw Mechanism with Occam's Razor
• Flavor mixings and textures of the fermion mass matrices
• One vanishing minor in the neutrino mass matrix
• Phenomenological Implications of a Class of Neutrino Mass Matrices
• The One-zero Textures of Majorana Neutrino Mass Matrix and Current Experimental Tests
• Average (RECOMMENDED) Half-Life Values for Two Neutrino Double Beta Decay
• Implications of a class of neutrino mass matrices with texture zeros for non-zero ${\theta }_{13}$
• Hybrid Textures of Neutrinos
• Two-zero Majorana textures in the light of the Planck results
• Near Maximal Atmospheric Mixing in Neutrino Mass Matrices with Two Vanishing Minors
• Texture 4 zero Fritzsch-like lepton mass matrices
• Phenomenological Analysis of Hybrid Textures of Neutrinos
• The Majorana Neutrino Mass Matrix with One Texture Zero and One Vanishing Eigenvalue
• Spontaneous CP violation in A4xSU(5) with Constrained Sequential Dominance 2
• Two-parameter neutrino mass matrices with two texture zeros
• Hybrid Textures of Majorana Neutrino Mass Matrix and Current Experimental Tests
• Neutrino mixing matrices with relatively large ${\theta }_{13}$ and with texture one-zero
• Neutrino Mass Matrices with Two Equalities Between the Elements or Cofactors
• Neutrino mass textures with one vanishing minor and two equal cofactors
• Possible textures of the fermion mass matrices
• Texture and Cofactor Zeros of the Neutrino Mass Matrix
• A complete survey of texture zeros in general and symmetric quark mass matrices
• One diagonal texture or cofactor zero of the neutrino mass matrix
• Implications of texture 4 zero lepton mass matrices for U_{e3}
• Discriminating Majorana Neutrino Textures in the light of Baryon Asymmetry
• Hybrid Textures of the Right-Handed Majorana Neutrino Mass Matrix
• Relating large $U_{e3}$ to the ratio of neutrino mass-squared differences
• Seesaw mechanism with four texture zeros in the neutrino Yukawa matrix
• A Further Study of the Frampton-Glashow-Yanagida Model for Neutrino Masses, Flavor Mixing and Baryon Number Asymmetry
• Reproducing lepton mixing in a texture zero model
• New texture-zero models for lepton mixing
• Texture-zero model for the lepton mass matrices

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• Neutrino Mass Matrices from Two Zero 3x2 Yukawa Textures and Minimal d=5 Entries
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• A minimal axion model for mass matrices with five texture-zeros
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• Is magic texture for Majorana neutrino immanent in Dirac nature?