Flavor Symmetry Breaking and Vacuum Alignment on Orbifolds

Abstract

Flavor symmetry has been widely studied for figuring out the masses and mixing angles of standard-model fermions. In this paper we present a framework for handling flavor symmetry breaking where the symmetry breaking is triggered by boundary conditions of scalar fields in extra-dimensional space. The alignment of scalar expectation values is achieved without referring to any details of scalar potential and its minimization procedure. As applications to non-abelian discrete flavor symmetries, illustrative lepton mass models are constructed where the S3 and A4 flavor symmetries are broken down to the directions leading to the tri-bimaximal form of lepton mixing and realistic mass patterns.

21 pages

References in corpus (75)

• Tri-Bimaximal Mixing and the Neutrino Oscillation Data
• Status of global fits to neutrino oscillations
• Hierarchies without Symmetries from Extra Dimensions
• Underlying A_4 Symmetry for the Neutrino Mass Matrix and the Quark Mixing Matrix
• Symmetries and Generalisations of Tri-Bimaximal Neutrino Mixing
• Tri-Bimaximal Neutrino Mixing from Discrete Symmetry in Extra Dimensions
• Nearly Tri-Bimaximal Neutrino Mixing and CP Violation
• Theory of Neutrinos: A White Paper
• Gauge Unification in Higher Dimensions
• Triplet-doublet Splitting, Proton Stability and Extra Dimension
• Fermion Masses, Mixings and Proton Decay in a Randall-Sundrum Model
• A SUSY SU(5) Grand Unified Model of Tri-Bimaximal Mixing from A4
• SU(5) Grand Unification in Extra Dimensions and Proton Decay
• Some Simple Mixing and Mass Matrices for Neutrinos
• Limits on extra dimensions in orbifold compactifications of superstrings
• Searching for realistic 4d string models with a Pati-Salam symmetry -- Orbifold grand unified theories from heterotic string compactification on a Z6 orbifold
• Stringy origin of non-Abelian discrete flavor symmetries
• Supersymmetry and Electroweak breaking from extra dimensions at the TeV-scale
• Neutrino tri-bi-maximal mixing from a non-Abelian discrete family symmetry
• Tri-bimaximal Neutrino Mixing and Quark Masses from a Discrete Flavour Symmetry
• TeV Strings and Collider Probes of Large Extra Dimensions
• CKM and Tri-bimaximal MNS Matrices in a SU(5) x (d)T Model
• The Unique Horizontal Symmetry of Leptons
• Tri-bimaximal Neutrino Mixing from Orbifolding
• A4 family symmetry and quark-lepton unification
• Atmospheric Neutrino Oscillation and a Phenomenological Lepton Mass Matrix
• A_4 flavour symmetry breaking scheme for understanding quark and neutrino mixing angles
• SU(3) family symmetry and neutrino bi-tri-maximal mixing
• The Flavor Symmetry
• The Structure of GUT Breaking by Orbifolding
• $S_3$ Symmetry and Tri-bimaximal Mixing
• Weakly coupled Higgsless theories and precision electroweak tests
• Tri-Bimaximal Neutrino Mixing and the Family Symmetry Z_7 x Z_3
• Obtaining the Neutrino Mixing Matrix with the Tetrahedral Group
• A Model of Lepton Masses from a Warped Extra Dimension
• Phenomenological Tests of Supersymmetric A_4 Family Symmetry Model of Neutrino Mass
• A Geometry of the Generations
• A_4 symmetry and prediction of U_{e3} in a modified Altarelli-Feruglio model
• Large neutrino mixing and normal mass hierarchy: a discrete understanding
• Brane fluctuations and suppression of Kaluza-Klein mode couplings
• Twisted Flavors and Tri/bi-Maximal Neutrino Mixing
• Quark Masses and Mixing with A4 Family Symmetry
• Models of Scherk-Schwarz Symmetry Breaking in 5D: Classification and Calculability
• A SUSY A4 model for fermion masses and mixings
• Dynamical Gauge-Higgs Unification in the Electroweak Theory
• The A4 flavor symmetry and neutrino phenomenology
• Gauge-Higgs Unification in Orbifold Models
• Gauge Model for Maximal Neutrino Mixing
• TriMinimal Parametrization of the Neutrino Mixing Matrix
• Generalized symmetry breaking on orbifolds
• Flavor S_4 times Z_2 symmetry and neutrino mixing
• Probing extra dimensions using Nambu-Goldstone bosons
• Exact $S_3$ symmetry solving the supersymmetric flavor problem
• Fat Brane Phenomena
• Discrete Flavor Symmetry, Dynamical Mass Textures, and Grand Unification
• A model realizing the Harrison-Perkins-Scott lepton mixing matrix
• Embedding A4 into SU(3)xU(1) flavor symmetry: Large neutrino mixing and fermion mass hierarchy in SO(10) GUT
• On fermion mass hierarchy with extra dimensions
• Third Family Corrections to Quark and Lepton Mixing in SUSY Models with non-Abelian Family Symmetry
• Predictions of an A_4 model with a five-parameter neutrino mass matrix
• Fermion Masses and Neutrino Oscillations in SO(10) SUSY GUT with D_3 x U(1) Family Symmetry
• The discrete flavor symmetry D5
• Universal Seesaw Mass Matrix Model with an S_3 Symmetry
• Consequences of Approximate $S_3$ Symmetry of the Neutrino Mass Matrix
• Radiatively broken symmetries of nonhierarchical neutrinos
• Group space scan of flavor symmetries for nearly tribimaximal lepton mixing
• Flavor Symmetry and Vacuum Aligned Mass Textures
• Fermion Mass Hierarchies and Small Mixing Angles from Extra Dimensions
• Tri-bimaximal Mixing from Cascades
• On Effective Theory of Brane World with Small Tension
• Towards a Theory of Flavor from Orbifold GUTs
• Yukawa hierarchy from extra dimensions and infrared fixed points
• Equivalence Classes of Boundary Conditions in Gauge Theory on $Z_3$ Orbifold
• Broken SU(3) Flavor Symmetry and Tribimaximal Neutrino Mixing
• Normal versus inverted hierarchical models within $\mu -\tau$ symmetry

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• Non-Abelian Discrete Flavor Symmetries from Magnetized/Intersecting Brane Models
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• S4 Flavor Symmetry of Quarks and Leptons in SU(5) GUT
• Neutrino masses and mixing from S4 flavor twisting
• Quark sector of S3 models: classification and comparison with experimental data
• Neutrino masses and tribimaximal mixing in the minimal renormalizable supersymmetric SU(5) grand unified model with A4 flavor symmetry
• A_4xSU(5) SUSY GUT of Flavour in 8d
• Twin Modular $S_4$ with $SU(5)$ GUT
• SUSY Breaking Constraints on Modular flavor $S_3$ Invariant $SU(5)$ GUT Model
• Magnetic flux, Wilson line and orbifold
• Lepton Flavor Model from Delta(54) Symmetry
• Tri-Bimaximal lepton mixing with A4 semidirect product Z2 x Z2 x Z2
• Non-Abelian Discrete Flavor Symmetries from T^2/Z_N Orbifolds
• A predictive $331$ model with $A_4$ flavour symmetry
• The Cabibbo Angle in a Supersymmetric D14 Model
• Modelling tri-bimaximal neutrino mixing
• Natural Vacuum Alignment from Group Theory: The Minimal Case
• Flavored Orbifold GUT - an SO(10) x S4 model
• Delta(54) Flavor Model for Leptons and Sleptons
• Hybrid textures in minimal seesaw mass matrices
• An S4 model for quarks and leptons with maximal atmospheric angle
• FCNC and CP Violation Observables in a SU(3)-flavoured MSSM
• Super Flavorsymmetry with Multiple Higgs Doublets
• Lepton flavor models with discrete prediction of theta_{13}
• Vacuum misalignment corrections to tri-bimaximal mixing and form dominance
• Non-Abelian discrete flavor symmetries of 10D SYM theory with magnetized extra dimensions
• Unified model of fermion masses with Wilson line flavor symmetry breaking
• Relating large $U_{e3}$ to the ratio of neutrino mass-squared differences
• $\Delta \left(27\right)$ flavor singlet-triplet Higgs model for fermion masses and mixings
• Non-Abelian Discrete Flavor Symmetries on Orbifolds
• Extra dimensions and Seesaw Neutrinos at the International Linear Collider
• Minimal Seesaw Model with a Discrete Heavy-Neutrino Exchange Symmetry
• S4 Flavor Model of Quarks and Leptons
• Neutrino Phenomenology and Dark matter in an $A_4$ flavour extended B-L model
• Geometry-free neutrino masses in curved spacetime