Deviations from tribimaximal mixing due to the vacuum expectation value misalignment in A_4 models

Abstract

The addition of an A_4 family symmetry and extended Higgs sector to the Standard Model can generate the tribimaximal mixing pattern for leptons, assuming the correct vacuum expectation value alignment of the Higgs scalars. Deviating this alignment affects the predictions for the neutrino oscillation and neutrino mass observables. An attempt is made to classify the plethora of models in the literature, with respect to the chosen A_4 particle assignments. Of these models, two particularly popular examples have been analyzed for deviations from tribimaximal mixing by perturbing the vacuum expectation value alignments. The effect of perturbations on the mixing angle observables is studied. However, it is only investigation of the mass-related observables (the effective mass for neutrinoless double beta decay and the sum of masses from cosmology) that can lead to the exclusion of particular models by constraints from future data, which indicates the importance of neutrino mass in disentangling models. The models have also been tested for fine-tuning of the parameters. Furthermore, a well-known seesaw model is generalized to include additional scalars, which transform as representations of A_4 not included in the original model.

25 pages, 11 figures, published in Phys. Rev. D

References in corpus (34)

• A Simplest A4 Model for Tri-Bimaximal Neutrino Mixing
• A model for fermion masses and lepton mixing in SO(10) x A4
• A predictive A4 model, Charged Lepton Hierarchy and Tri-bimaximal Sum Rule
• Deviation from tri-bimaximal neutrino mixing in A4 flavor symmetry
• Lepton Flavour Violation in Models with A4 Flavour Symmetry
• A4-based tri-bimaximal mixing within inverse and linear seesaw schemes
• Suitability of A_4 as a Family Symmetry in Grand Unification
• Observables sensitive to absolute neutrino masses: A reappraisal after WMAP-3y and first MINOS results
• Predictive flavour symmetries of the neutrino mass matrix
• Fermion masses and mixing in models with SO(10) x A_4 symmetry
• Supersymmetric A_4 X Z_3 and A_4 Realizations of Neutrino Tribimaximal Mixing Without and With Corrections
• Tri-bimaximal Neutrino Mixing from A(4) and θ_{13} \sim θ_C
• A SUSY A4 model for fermion masses and mixings
• Embedding A4 into left-right flavor symmetry: Tribimaximal neutrino mixing and fermion hierarchy
• TriMinimal Parametrization of the Neutrino Mixing Matrix
• Tri-bimaximal neutrino mixing and neutrinoless double beta decay
• Nonzero U_{e3}, CP violation and leptogenesis in a see-saw type softly broken A_4 symmetric model
• U_{PMNS} = U_ell^dagger U_nu
• Fermion Masses and Flavor Mixings in a Model with $S_4$ Flavor Symmetry
• An A4 model for lepton masses and mixings
• The 3-3-1 model with A_4 flavor symmetry
• Neutrino masses and tribimaximal mixing in the minimal renormalizable supersymmetric SU(5) grand unified model with A4 flavor symmetry
• Embedding A4 into SU(3)xU(1) flavor symmetry: Large neutrino mixing and fermion mass hierarchy in SO(10) GUT
• Large U_{e3} and Tri-bimaximal Mixing
• Neutrino mixing matrix in the 3-3-1 model with heavy leptons and $A_4$ symmetry
• Model of leptons from $SO(3)\to A_4$
• Corrections to Tri-bimaximal Neutrino Mixing: Renormalization and Planck Scale Effects
• Minimal supergravity radiative effects on the tri-bimaximal neutrino mixing pattern
• Inverse tri-bimaximal type-III seesaw and lepton flavor violation
• Deviation from tri-bimaximal mixing and flavor symmetry breaking in a seesaw type A4 model
• Toward minimal renormalizable SUSY SU(5) Grand Unified Model with tribimaximal mixing from A4 Flavor symmetry
• Model-Independent Analysis of Tri-bimaximal Mixing -- a Softly-Broken Hidden or an Accidental Symmetry?
• Probing the Majorana nature of the neutrino with neutrinoless double beta decay
• Corrections to Tribimaximal Mixing from Nondegenerate Phases

Cited by in corpus (54)

• Discrete Flavor Symmetries and Models of Neutrino Mixing
• Neutrino Mass and Mixing: from Theory to Experiment
• Possible Alternatives to Tri-bimaximal Mixing
• Generalised CP and $A_4$ Family Symmetry
• keV Neutrino Model Building
• The S_3 flavor symmetry in 3-3-1 models
• Neutrino Mass Sum-rules in Flavor Symmetry Models
• A(4) Flavor Symmetry Model for Dirac-Neutrinos and Sizable U(e3)
• Neutrino masses and mixing: a flavour symmetry roadmap
• Nonzero ${\theta }_{13}$ and Leptogenesis in a Type-I See-saw Model with $A_4$ Symmetry
• The Power of Neutrino Mass Sum Rules for Neutrinoless Double Beta Decay Experiments
• Constraining neutrinoless double beta decay
• Relating quarks and leptons with the T7 flavour group
• The D_4 flavor symmery in 3-3-1 model with neutral leptons
• A Golden A_5 Model of Leptons with a Minimal NLO Correction
• Neutrino Mixing with Non-Zero ${\theta }_{13}$ and CP Violation in the 3-3-1 Model Based on $S_4$ Flavor Symmetry
• Natural Vacuum Alignment from Group Theory: The Minimal Case
• A Model for Tri-bimaximal Mixing from a Completely Broken $A_4$
• An $A_4$ realization of inverse seesaw: neutrino masses, ${\theta }_{13}$ and leptonic non-unitarity
• Tri-Bimaximal Neutrino Mixing and the $T_{13}$ Flavor Symmetry
• Minimal Flavor Violation in the Minimal U(1)_{B-L} Model and Resonant Leptogenesis
• A4-based see-saw model for realistic neutrino masses and mixing
• Is the tri-bimaximal mixing accidental?
• Tri-bimaximal Mixing and Cabibbo Angle in S4 Flavor Model with SUSY
• Renormalisation Group Corrections to Neutrino Mass Sum Rules
• Prediction of Leptonic CP Phase in $A_4$ symmetric model
• Intrinsic Deviation from the Tri-bimaximal Neutrino Mixing in a Class of A_4 Flavor Models
• Reactor mixing angle from hybrid neutrino masses
• A study on a minimally broken residual TBM-Klein symmetry with its implications on flavoured leptogenesis and ultra high energy neutrino flux ratios
• Lepton mass and mixing in a Neutrino Mass Model based on $S_4$ flavor symmetry
• Neutrino phenomenology in the flavored NMSSM without domain wall problems
• Low energy phenomena of the lepton sector in an $A_4$ symmetry model with heavy inverse seesaw neutrinos
• Mass Limit for Light Flavon with Residual $Z_3$ Symmetry
• $A_4$-based model with linear seesaw scheme for lepton mass and mixing
• Radiative Corrections to the Solar Lepton Mixing Sum Rule
• Non-Zero ${\theta }_{13}$ and ${\delta }_{CP}$ in a Neutrino Mass Model with $A_4$ Symmetry
• $A_4\times U(1{)}_{PQ}$ Model for the Lepton Flavor Structure and the Strong $CP$ Problem
• Testable constraint on near-tribimaximal neutrino mixing
• Diagonal reflection symmetries, four-zero texture, and trimaximal mixing with predicted ${\theta }_{13}$ in an $A_4$ symmeric model
• CP violations in a predictive $A_4$ symmetry model
• Lepton mass and mixing in a simple extension of the Standard Model based on T7 flavor symmetry
• Ameliorating the popular lepton mixings with A4 symmetry: A see-saw model for realistic neutrino masses and mixing
• Testing the minimal $S_4$ model of neutrinos with the Dirac and Majorana phases
• Hybrid seesaw neutrino model in SUSY $SU(5)\times {\mathbb{A}}_4$
• Two-zero textures based on $A_4$ symmetry and unimodular mixing matrix
• A neutrino mixing model based on an $A_4\times Z_3\times Z_4$ flavour symmetry
• Sum Rules for Leptons
• Fermion masses and mixings in a $U(1{)}_X$ model based on the $\Sigma (18)$ discrete symmetry
• The special Two zeros texture based on $A_4$ symmetry and perturbation method
• On the ambiguities in the tri-bimaximal mixing matrix and corresponding charged lepton corrections
• Non-SUSY Lepton Flavor Model with 3HDM
• Revisiting Flavor Model and Leptogenesis
• Lepton mixing patterns from combinations of elementary correlations
• $TeV$-Scale Resonant Leptogenesis with New Scaling Ansatz on Neutrino Dirac Mass Matrix from $A_4$ Flavor Symmetry