Study of theory and phenomenology of some classes of family symmetry and unification models

Abstract

We review and compare theoretically and phenomenologically a number of possible family symmetries, which when combined with unification, could be important in explaining quark, lepton and neutrino masses and mixings, providing new results in several cases. Theoretical possibilities include Abelian or non-Abelian, symmetric or non symmetric Yukawa matrices, Grand Unification or not. Our main focus is on anomaly-free U(1) family symmetry combined with SU(5) unification, although we also discuss other possibilities. We provide a detailed phenomenological fit of the fermion masses and mixings for several examples, and discuss the supersymmetric flavour issues in such theories, including a detailed analysis of lepton flavour violation. We show that it is not possible to quantitatively and decisively discriminate between these different theoretical possibilities at the present time.

arXiv comment75 pages, 4 figures

References in corpus (38)

• SOFTSUSY: a program for calculating supersymmetric spectra
• Two-Loop Renormalization Group Equations for Soft Supersymmetry-Breaking Couplings
• Lepton-Flavor Violation via Right-Handed Neutrino Yukawa Couplings in Supersymmetric Standard Model
• Mass and Flavor Mixing Schemes of Quarks and Leptons
• Fermion masses and mixing angles from gauge symmetries
• The Soft Supersymmetry-Breaking Lagrangian: Theory and Applications
• Large Mixing Angle MSW and Atmospheric Neutrinos from Single Right-Handed Neutrino Dominance and U(1) Family Symmetry
• Neutrino Mass Models
• Atmospheric and Solar Neutrinos with a Heavy Singlet
• Fermion Masses and Mixing Angles from SU(3) Family Symmetry
• Constructing the large mixing angle MNS matrix in see-saw models with right-handed neutrino dominance
• A Natural Solution to the MU Problem
• Fermion Masses and Mixing Angles from SU(3) Family Symmetry and Unification
• Atmospheric and Solar Neutrinos from Single Right-Handed Neutrino Dominance and U(1) Family Symmetry
• Models of Fermion Mass Matrices Based on a Flavor- and Generation-Dependent U(1) Gauge Symmetry
• Soft scalar masses in supergravity with horizontal U(1)_X gauge symmetry
• Spontaneous CP violation and Non-Abelian Family Symmetry in SUSY
• Precision test of a Fermion mass texture
• Abelian Flavour Symmetries in Supersymmetric Models
• From Minimal to Realistic Supersymmetric SU(5) Grand Unification
• Symmetries and fermion masses
• Sleptonarium (Constraints on the CP and Flavour Pattern of Scalar Lepton Masses)
• Yukawa structure, flavour and CP violation in Supergravity
• Grand Unification of Quark and Lepton FCNCs
• Symmetry Principles toward Solutions of $\mu$ Problem
• Solving the Supersymmetric CP Problem with Abelian Horizontal Symmetries
• Quark and Lepton Mass Matrices from Horizontal U(1) Symmetry
• Minimal Mixing of Quarks and Leptons in the SU(3) Theory of Flavour
• Update on Fermion Mass Models with an Anomalous Horizontal U(1) Symmetry
• Kahler corrections and softly broken family symmetries
• Neutrino Masses and Mixing Angles in a Realistic String-Inspired Model
• Anomalous U(1) symmetry and lepton flavor violation
• Anomalous U(1) and low-energy physics: the power of D-flatness and holomorphy
• Restricted flavor structure of soft SUSY breaking trilinear couplings
• Flavour Symmetries and Kahler Operators
• Hierarchical Neutrino Mass Matrices, CP violation and Leptogenesis
• Lepton Flavour Violation from Yukawa Operators, Supergravity and the See-Saw mechanism
• Fermion Mass Hierarchy and Electric Dipole Moments

Cited by in corpus (25)

• Flavour physics of leptons and dipole moments
• S4 Flavor Symmetry and Fermion Masses: Towards a Grand Unified theory of Flavor
• Towards a Complete Theory of Fermion Masses and Mixings with SO(3) Family Symmetry and 5d SO(10) Unification
• Deriving Models for keV sterile Neutrino Dark Matter with the Froggatt-Nielsen mechanism
• Baryon Triality and Neutrino Masses from an Anomalous Flavor U(1)
• Anomaly-free Model Building with Algebraic Geometry
• Goldstone Bosons in Effective Theories with Spontaneously Broken Flavour Symmetry
• Flavon Inflation
• Phenomenology of flavon fields at the LHC
• Exceptional Supersymmetric Standard Models with non-Abelian Discrete Family Symmetry
• FCNC and CP Violation Observables in a SU(3)-flavoured MSSM
• Lepton Flavour Violation and Flavour Symmetries
• Electric dipole moments from flavoured CP violation in SUSY
• Fermion Mass Hierarchy and Proton Stability from Non-anomalous U(1)_F in SUSY SU(5)
• Flavor unification, dark matter, proton decay and other observable predictions with low-scale $S_4$ symmetry
• Constraints on Supersymmetric Flavour Models from b->s gamma
• Twenty-five Questions for String Theorists
• Neutrino textures and charged lepton flavour violation in light of theta13, MEG and LHC data
• CP and Lepton-Number Violation in GUT Neutrino Models with Abelian Flavour Symmetries
• SO(10) unified models and soft leptogenesis
• Dark matter, singlet extensions of the nuMSM, and symmetries
• The New Extended Left-Right Symmetric Grand Unified Model with SO(3) Family Symmetry
• Flavour issues for string-motivated heavy scalar spectra with a low gluino mass: the G2-MSSM case
• A Model of Four Generation Fermions and Cold Dark Matter and Matter-Antimatter Asymmetry
• A Model of Fermion Masses and Flavor Mixings with Family Symmetry $SU(3)\otimes U(1)$