Neutrino masses and mixing: a flavour symmetry roadmap

Abstract

Over the last ten years tri-bimaximal mixing has played an important role in modeling the flavour problem. We give a short review of the status of flavour symmetry models of neutrino mixing. We concentrate on non-Abelian discrete symmetries, which provide a simple way to account for the TBM pattern. We discuss phenomenological implications such as neutrinoless double beta decay, lepton flavour violation as well as theoretical aspects such as the possibility to explain quarks and leptons within a common framework, such as grand unified models.

26 pages, 19 figures, 3 tables. Review written for the special issue on 'Flavor Symmetries', edited by S.Morisi, H.P.Nilles, & J.W.F.Valle, to appear in Fortschritte der Physik - Progress of Physics

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• Discrete flavor symmetries in D-brane models
• Quark-Lepton Mass Relation in a Realistic A4 Extension of the Standard Model
• Generalized Bottom-Tau unification, neutrino oscillations and dark matter: predictions from a lepton quarticity flavor approach
• Quark-Lepton Mass Relation and CKM mixing in an A4 Extension of the Minimal Supersymmetric Standard Model
• Warped flavor symmetry predictions for neutrino physics
• The Power of Neutrino Mass Sum Rules for Neutrinoless Double Beta Decay Experiments
• Measuring the Leptonic CP Phase in Neutrino Oscillations with Non-Unitary Mixing
• Relating quarks and leptons with the T7 flavour group
• Connecting neutrino physics with dark matter
• Large θ_13 in a SUSY SU(5)xT' Model
• Radiative neutrino mass generation linked to neutrino mixing and $0\nu \beta \beta$-decay predictions
• Predictive Pati-Salam theory of fermion masses and mixing
• [Re]constructing Finite Flavour Groups: Horizontal Symmetry Scans from the Bottom-Up
• How good is μ-τsymmetry after results on non-zero θ_{13}?
• The symmetry approach to quark and lepton masses and mixing
• A Bayesian comparison of U(1) lepton flavour models
• Neutrino mixing with revamped A4 flavour symmetry
• Masses, mixing angles and phases of general Majorana neutrino mass matrix
• Neutrino predictions from a left-right symmetric flavored extension of the standard model
• Testing a lepton quarticity flavor theory of neutrino oscillations with the DUNE experiment
• Scotogenic dark matter and Dirac neutrinos from unbroken gauged $B-L$ symmetry
• Zooming in on neutrino oscillations with DUNE
• Non-diagonal charged lepton mass matrix and non-zero ${\theta }_{13}$
• Renormalisation Group Corrections to Neutrino Mass Sum Rules
• Predictivity of Neutrino Mass Sum Rules
• CP Symmetries as Guiding Posts: revamping tri-bi-maximal Mixing. Part II
• Models of Neutrino Mass, Mixing and CP Violation
• Common origin of ${\theta }_{13}$ and dark matter within the flavor symmetric scoto-seesaw framework
• Renormalisation Group Corrections to Neutrino Mixing Sum Rules
• Neutrino oscillations from warped flavor symmetry: predictions for long baseline experiments T2K, NOvA and DUNE
• A flavour physics scenario for the 750 GeV diphoton anomaly
• Neutrino Predictions from Generalized CP Symmetries of Charged Leptons
• Minimal inverse-seesaw mechanism with Abelian flavour symmetries
• Probing the predictions of an orbifold theory of flavor
• Highly predictive and testable $A_4$ flavor model within type-I and II seesaw framework and associated phenomenology
• Predicting neutrino oscillations with "bi-large" lepton mixing matrices
• New approach to neutrino masses and leptogenesis with Occam's razor
• Neutrino Mass Sum Rules and Symmetries of the Mass Matrix
• A minimal inverse seesaw model with $S_4$ flavour symmetry
• Compatible abelian symmetries in N-Higgs-Doublet Models
• Five texture zeros in the lepton sector and neutrino oscillations at DUNE
• Right-handed sneutrinos as asymmetric DM and neutrino masses from neutrinophilic Higgs bosons
• Singlet Fermion Assisted Dominant Seesaw with Lepton Flavor and Number Violations and Leptogenesis
• Hidden Neutrino Gauge Symmetry
• Flavored Peccei-Quinn symmetries in the minimal $\nu$DFSZ model
• Probing Non-Standard Interactions at Daya Bay
• Status and implications of neutrino masses: a brief panorama
• Two-loop-induced neutrino masses: A model-independent perspective
• The hidden symmetries in the PMNS matrix and the light sterile neutrino(s)
• Minimal A4 Type-II Seesaw Realization of Testable Neutrino Mass Sum Rules
• Neutrino Masses and Mixings from Continuous Symmetries
• Theory and phenomenology of Dirac neutrinos