Fine-tuning and naturalness issues in the two-zero neutrino mass textures

Abstract

In this paper we analyze the compatibility of two-zero neutrino Majorana textures with the recent experimental data. Differently from previous works, we use the experimental data to fix the values of the non-vanishing mass matrix entries and study in detail the correlations and degree of fine-tuning among them, which is also a measure of how naturally a given texture is able to describe all neutrino data. This information is then used to expand the textures in powers of the Cabibbo angle; extracting random O(1) coefficients, we show that only in few cases such textures reproduce the mixing parameters in their 3 sigma ranges.

13 pages, 14 figures. Version to appear in NPB

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• Confronting predictive texture zeros in lepton mass matrices with current data
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• Fitting flavour symmetries: the case of two-zero neutrino mass textures
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• Neutrino Mass Matrices with Two Vanishing Elements/Cofactors
• Mu-tau reflection symmetry with a high scale texture-zero
• Parallel Texture Structures with Cofactor Zeros in Lepton Sector
• Probing Majorana Neutrino Textures at DUNE
• Discriminating Majorana Neutrino Textures in the light of Baryon Asymmetry
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• Hybrid Textures of the Right-Handed Majorana Neutrino Mass Matrix
• Hybrid Textures of Neutrino Mass Matrix under the Lamppost of Latest Neutrino and Cosmology Data
• Charged Lepton Corrections to Scaling Neutrino Mixing
• Neutrino mass matrices with one texture equality and one vanishing neutrino mass
• Analysis of four-zero textures in $3+1$ framework
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• Mass characteristics of active and sterile neutrinos in a phenomenological (3+1+2)-model
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• Understanding the Masses and Mixings of One-Zero Textures in 3+1 Scenario
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• Implications of texture zeros for a variant of tribimaximal Mixing
• General lepton textures and their implications
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• Magic square and Dirac flavor neutrino mass matrix
• Lepton Flavor Mixing Pattern and Neutrino Mass Matrix after the Daya Bay Experiment
• Neutrino Observables from a U(2) Flavor Symmetry
• Further study on the textures of neutrino mass matrix for maximal atmospherical mixing angle and Dirac CP phase
• A CP-violating phase in a two Higgs triplet scenario : some phenomenological implications
• Neutrino observables from predictive flavour patterns
• The Texture One Zero Neutrino Mass Matrix With Vanishing Trace
• Neutrino mass matrices with three or four vanishing cofactors and non diagonal charged lepton sector
• Implications of the Dark-LMA solution for neutrino mass matrices
• A new texture of neutrino mass matrix with three constraints
• CP Violation in Predictive Neutrino Mass Structures
• Phenomenology of Trimaximal mixing with one texture equality
• New possibilities of hybrid texture of neutrino mass matrix
• Magic square and three-zero textures for Dirac neutrinos
• Is magic texture for Majorana neutrino immanent in Dirac nature?
• Modified TM2 for Reproducing All Best-Fit Values of Neutrino Mixing Angles
• Neutrino mass characteristics in a phenomenological 3+2+1 model
• The special Two zeros texture based on $A_4$ symmetry and perturbation method
• Conditions of naturalness and fine-tunings for type-I seesaw mechanism with four-zero texture
• A general formula by $LD{L}^T$ decomposition for the type-I seesaw mechanism
• Obtaining nonvanishing ${\theta }_{13}$ with constrained neutrino Yukawa matrix and implications for flavor model buildings
• One-parameter Neutrino Mass Matrix and Symmetry Realization