Fitting flavour symmetries: the case of two-zero neutrino mass textures

Abstract

We present a numeric method for the analysis of the fermion mass matrices predicted in flavour models. The method does not require any previous algebraic work, it offers a ${\chi }^2$ comparison test and an easy estimate of confidence intervals. It can also be used to study the stability of the results when the predictions are disturbed by small perturbations. We have applied the method to the case of two-zero neutrino mass textures using the latest available fits on neutrino oscillations, derived the available parameter space for each texture and compared them. Textures $A_1$ and $A_2$ seem favoured because they give a small ${\chi }^2$, allow for large regions in parameter space and give neutrino masses compatible with Cosmology limits. The other "allowed" textures remain allowed although with a very constrained parameter space, which, in some cases, could be in conflict with Cosmology. We have also revisited the "forbidden" textures and studied the stability of the results when the texture zeroes are not exact. Most of the forbidden textures remain forbidden, but textures $F_1$ and $F_3$ are particularly sensitive to small perturbations and could become allowed.

arXiv comment22 pages, 6 figures

References in corpus (41)

• MultiNest: an efficient and robust Bayesian inference tool for cosmology and particle physics
• Importance Nested Sampling and the MultiNest Algorithm
• Status of neutrino oscillations 2018: first hint for normal mass ordering and improved CP sensitivity
• Updated fit to three neutrino mixing: exploring the accelerator-reactor complementarity
• Unveiling $\nu$ secrets with cosmological data: neutrino masses and mass hierarchy
• Zeroes of the Neutrino Mass Matrix
• Stitching the Yukawa Quilt
• Texture Zeros and Majorana Phases of the Neutrino Mass Matrix
• Current unknowns in the three neutrino framework
• Symmetry realization of texture zeros
• Two-zero Textures of the Majorana Neutrino Mass Matrix and Current Experimental Tests
• Signal of neutrinoless double beta decay, neutrino spectrum and oscillation scenarios
• Fermion masses and mixings in SO(10) models and the neutrino challenge to supersymmetric grand unified theories
• Constraints from Neutrino Oscillation Experiments on the Effective Majorana Mass in Neutrinoless Double $\beta$-Decay
• Phenomenology of Two-Texture Zero Neutrino Mass Matrices
• Zeros of the inverted neutrino mass matrix
• Zero minors of the neutrino mass matrix
• Implications of the KamLAND Measurement on the Lepton Flavor Mixing Matrix and the Neutrino Mass Matrix
• Fine-tuning and naturalness issues in the two-zero neutrino mass textures
• Removing Ambiguities in the Neutrino Mass Matrix
• Weak Basis Transformations and Texture Zeros in the Leptonic Sector
• Neutrino Masses with "Zero Sum" Condition: $m_{{\nu }_1}+m_{{\nu }_2}+m_{{\nu }_3}=0$
• Mass Matrix of Majorana Neutrinos
• Hybrid Textures of Neutrinos
• Effective Lagrangian approach to neutrinoless double beta decay and neutrino masses
• On a model with two zeros in the neutrino mass matrix
• Zero Textures of the Neutrino Mass Matrix from Cyclic Family Symmetry
• Update on two-zero textures of the Majorana neutrino mass matrix in light of recent T2K, Super-Kamiokande and NO$\nu$A results
• Stability of Texture Zeros under Radiative Corrections in See-Saw Models
• The minimal type-I seesaw model with maximally-restricted texture zeros
• Revisiting the texture zero neutrino mass matrices
• A realistic model of neutrino masses with a large neutrinoless double beta decay rate
• Formulae for flavour neutrino masses and its application to texture two zeros
• Neutrino Mass Matrices with Vanishing Determinant and ${\theta }_{13}$
• Neutrino Mass Matrices With Vanishing Determinant
• Majorana neutrino mass matrices with three texture zeros and the sterile neutrino
• Perturbed Yukawa Textures in the Minimal Seesaw Model
• Neutrino mass matrices with one texture equality and one vanishing neutrino mass
• Understanding the Masses and Mixings of One-Zero Textures in 3+1 Scenario
• A model of neutrino mass and dark matter with large neutrinoless double beta decay
• Texture zeros and hierarchical masses from flavour (mis)alignment

Cited by in corpus (25)

• Flavor structures of charged fermions and massive neutrinos
• A modular $A_4$ symmetry realization of two-zero textures of the Majorana neutrino mass matrix
• Relaxing Cosmological Neutrino Mass Bounds with Unstable Neutrinos
• Non-standard neutrino interactions in $U(1{)}^{\prime }$ model after COHERENT data
• Combining texture zeros with a remnant CP symmetry in the minimal type-I seesaw
• Simple A4 models for dark matter stability with texture zeros
• Stitching an Asymmetric Texture with ${\mathcal{T}}_{13}\times {\mathcal{Z}}_5$ Family Symmetry
• Flavour and dark matter in a scoto/type-II seesaw model
• Survey of Texture Zeros with Light Dirac Neutrinos
• Neutrino mass models at $\mu$TRISTAN
• Predictive Scotogenic Model with Flavor Dependent Symmetry
• Phenomenology of two texture zero neutrino mass in left-right symmetric model with $Z_8\times Z_2$
• Charged lepton-flavor violating processes and suppression of nonunitary mixing effects in low-scale seesaw models
• Zee-model predictions for lepton flavor violation
• Phenomenological Study of Texture Zeros in Lepton Mass Matrices of Minimal Left-Right Symmetric Model
• Neutrino Observables from a U(2) Flavor Symmetry
• Texture of Two Vanishing Subtraces in Neutrino Mass Matrix and Current Experimental Tests
• Further study on the textures of neutrino mass matrix for maximal atmospherical mixing angle and Dirac CP phase
• Impact of texture zeros on dark matter and neutrinoless double beta decay in inverse seesaw
• Covert symmetries in the neutrino mass matrix
• Revisiting Majorana Neutrino Textures in the Light of Dark LMA
• Revisiting the Universal Texture Zero of Flavour: a Markov Chain Monte Carlo Analysis
• Minimal U(1) two-Higgs-doublet models for quark and lepton flavour
• More models for lepton mixing with four constraints
• Neutrino mass and charged lepton flavor violation in an extended left-right symmetric model