Tribimaximal Mixing From Small Groups

Abstract

Current experimental data on the neutrino parameters is in good agreement with tribimaximal mixing and may indicate the presence of an underlying family symmetry. For 76 flavor groups, we perform a systematic scan for models: The particle content is that of the Standard Model plus up to three flavon fields, and the effective Lagrangian contains all terms of mass dimension <=6. We find that 44 groups can accommodate models that are consistent with experiment at 3 sigma, and 38 groups can have models that are tribimaximal. For one particular group, we look at correlations between the mixing angles and make a prediction for theta13 that will be testable in the near future. We present the details of a model with theta12=33.9, theta23=40.9, theta13=5.1 to show that the recent tentative hints of a non-zero theta13 can easily be accommodated. The smallest group for which we find tribimaximal mixing is T7. We argue that T7 and T13 are as suited to produce tribimaximal mixing as A4 and should therefore be considered on equal footing. In the appendices, we present some new mathematical methods and results that may prove useful for future model building efforts.

44 pages, 7 figures. Typos corrected, references added, figures updated

References in corpus (23)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• Evidence for oscillation of atmospheric neutrinos
• Direct Evidence for Neutrino Flavor Transformation from Neutral-Current Interactions in the Sudbury Neutrino Observatory
• Tri-Bimaximal Mixing and the Neutrino Oscillation Data
• Discrete Flavor Symmetries and Models of Neutrino Mixing
• Non-Abelian Discrete Symmetries in Particle Physics
• Softly Broken A_4 Symmetry for Nearly Degenerate Neutrino Masses
• Tri-Bimaximal Neutrino Mixing, A4 and the Modular Symmetry
• Symmetries and Generalisations of Tri-Bimaximal Neutrino Mixing
• Three-flavour neutrino oscillation update
• Updated global fit to three neutrino mixing: status of the hints of theta13 > 0
• Tri-Bimaximal Neutrino Mixing and the Family Symmetry Z_7 x Z_3
• The Flavor Group Delta(3n^2)
• Lepton Mixing and Cancellation of the Dirac Mass Hierarchy in SO(10) GUTs with Flavor Symmetries T7 and Sigma(81)
• Theta_13: phenomenology, present status and prospect
• Model of Geometric Neutrino Mixing
• Observable T_7 Lepton Flavor Symmetry at the Large Hadron Collider
• T(13) Flavor Symmetry and Decaying Dark Matter
• Non-Abelian Discrete Family Symmetries of Leptons and Quarks
• On the finite subgroups of U(3) of order smaller than 512
• Systematic Parameter Space Search of Extended Quark-Lepton Complementarity
• Systematic analysis of finite family symmetry groups and their application to the lepton sector
• Group space scan of flavor symmetries for nearly tribimaximal lepton mixing

Cited by in corpus (51)

• Neutrino Mass and Mixing with Discrete Symmetry
• Discrete Flavour Groups, θ_13 and Lepton Flavour Violation
• Lepton Mixing Patterns from a Scan of Finite Discrete Groups
• Finite flavour groups of fermions
• Tri-Bimaximal Neutrino Mixing and Discrete Flavour Symmetries
• Dirac neutrinos from flavor symmetry
• Generalized $\mu$-$\tau$ symmetry and discrete subgroups of O(3)
• Neutrino Mixings and the S4 Discrete Flavour Symmetry
• A Minimal Model of Neutrino Flavor
• A Bottom-Up Approach to Lepton Flavor and CP Symmetries
• Natural Vacuum Alignment from Group Theory: The Minimal Case
• How good is μ-τsymmetry after results on non-zero θ_{13}?
• Comments on the classification of the finite subgroups of SU(3)
• Tri-Bimaximal Neutrino Mixing and the $T_{13}$ Flavor Symmetry
• Neutrino Mixing and the Frobenius Group T13
• Bottom-Up Discrete Symmetries for Cabibbo Mixing
• Horizontal symmetries of leptons with a massless neutrino
• Discrete flavour symmetries for degenerate solar neutrino pair and their predictions
• Stitching an Asymmetric Texture with ${\mathcal{T}}_{13}\times {\mathcal{Z}}_5$ Family Symmetry
• Predictivity of models with spontaneously broken non-Abelian discrete flavor symmetries
• Maximal atmospheric neutrino mixing from texture zeros and quasi-degenerate neutrino masses
• A massless neutrino and lepton mixing patterns from finite discrete subgroups of U(3)
• Perturbations to $\mu -\tau$ Symmetry, Leptogenesis and Lepton Flavour Violation with Type II Seesaw
• The Frobenius group T13 and the canonical see-saw mechanism applied to neutrino mixing
• Renormalisation group improved leptogenesis in family symmetry models
• Lepton masses and mixing in a two-Higgs-doublet model
• Informationally complete characters for quark and lepton mixings
• Perspectives for tests of neutrino mass generation at the GeV scale: Experimental reach versus theoretical predictions
• Theory of Neutrino Masses and Mixing
• Tribimaximal Mixing in the $SU(5)\times {\mathcal{T}}_{13}$ Texture
• New Interpretation of the Recent Result of AMS-02 and Multi-component Decaying Dark Matters with non-Abelian Discrete Flavor Symmetry
• On the characterization of the SU(3)-subgroups of type C and D
• Towards Minimal S4 Lepton Flavor Model
• Residual $Z_2$ symmetries and leptonic mixing patterns from finite discrete subgroups of $U(3)$
• Neutrino masses and mixing from flavour antisymmetry
• GAP listing of the finite subgroups of U(3) of order smaller than 2000
• Like-sign dimuon asymmetry of B0 meson and LFV in SU(5) SUSY GUT with S4 flavor symmetry
• Low-scale Resonant Leptogenesis in $SU(5)$ GUT with ${\mathcal{T}}_{13}$ Family Symmetry
• Neutrino Masses and a Fourth Generation of Fermions
• Recent Neutrino Data and Type III Seesaw with Discrete Symmetry
• Discrete symmetries and Efficient Counting of Operators
• Radiative Generation of Non-zero ${\theta }_{13}$ in MSSM with broken $A_4$ Flavor Symmetry
• Drinfeld Doubles for Finite Subgroups of SU(2) and SU(3) Lie Groups
• The Freedman group: a physical interpretation for the SU(3)-subgroup D(18,1,1;2,1,1) of order 648
• Coxeter groups and the PMNS matrix
• Two-zero textures based on $A_4$ symmetry and unimodular mixing matrix
• A see-saw scenario of an $A_4$ flavour symmetric standard model
• A neutrino mixing model based on an $A_4\times Z_3\times Z_4$ flavour symmetry
• The discrete family symmetry as a possible solution to the flavour problem
• Note about the implementation of finite symmetries in the lepton sector
• The special Two zeros texture based on $A_4$ symmetry and perturbation method