Hierarchies without Symmetries from Extra Dimensions

Abstract

It is commonly thought that small couplings in a low-energy theory, such as those needed for the fermion mass hierarchy or proton stability, must originate from symmetries in a high-energy theory. We show that this expectation is violated in theories where the Standard Model fields are confined to a thick wall in extra dimensions, with the fermions "stuck" at different points in the wall. Couplings between them are then suppressed due to the exponentially small overlaps of their wave functions. This provides a framework for understanding both the fermion mass hierarchy and proton stability without imposing symmetries, but rather in terms of higher dimensional geography. A model independent prediction of this scenario is non-universal couplings of the Standard Model fermions to the ``Kaluza-Klein'' excitations of the gauge fields. This allows a measurement of the fermion locations in the extra dimensions at the LHC or NLC if the wall thickness is close to the TeV scale.

25 pages, 7 figures

Cited by in corpus (550)

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• Quark-lepton mass unification at TeV scales
• Supersymmetry breaking in a warped slice with Majorana-type masses
• Some problems with reproducing the Standard Model fields and interactions in five-dimensional warped brane world models
• Charged lepton electric dipole moments with the localized leptons and the new Higgs doublet in the two Higgs doublet model
• Quark-Lepton Symmetry In Five Dimensions
• The Hierarchy Problem: From the Fundamentals to the Frontiers
• Local Fields on the Brane Induced by Nonlocal Fields in the Bulk
• The effect of the location of the new Higgs doublet on the radiative lepton flavor violating decays in the split fermion scenario
• Modified mode-expansion on a BPS wall related to the nonlinear realization
• Spacetime foam at a TeV
• Decoupling and lepton flavor violation in extra dimension
• Towards a Model of Quarks and Leptons
• A new mechanism for symmetry breaking from nilmanifolds
• Complete CKM quark mixing via dimensional deconstruction
• Fermion mass hierarchies from supersymmetric gauged flavour symmetry in 5D
• Hyperbolic deformation of a gauge field theory and the hierarchy problem
• Aspects of Domain-Wall Standard Model
• Right-Handed New Physics Remains Strangely Beautiful
• Radion stabilization from the vacuum on flat extra dimensions
• Our wall as the origin of CP violation
• Brane Stabilization and Regionality of Extra Dimensions
• Fermions on the brane in 6D with nonsingular exponential scale factors
• Effective Theories for Flavour Physics beyond the Standard Model
• Revisiting neutrino masses from Planck scale operators
• SU(7) Unification of SU(3)_C*SU(4)_W* U(1)_{B-L}
• Dynamics of the infinitely-thin kink
• Moduli rolling to a natural MSSM with gravitino dark matter
• The State of the Standard Model
• The radiative lepton flavor violating decays in the split fermion scenario in the two Higgs doublet model
• The common origin of the family mass hierarchy and CP violation from flavour-dependent vacuum for quarks and leptons
• Rotating kinky braneworlds
• Quark masses and weak couplings in the Standard Model and beyond
• Standing Waves Braneworlds
• Effective theory for wall-antiwall system
• Multi-Scale Physics from Multi-Braneworlds
• Echoes from a Warped Dimension
• Neutrino Physics, Lepton Flavour Violation and the LHC
• Ultra High Energy Cosmic Rays from Sequestered X Bursts
• The cosmological constant problem in heterotic-M-theory and the orbifold of time
• Neutrino Physics with Small Extra Dimensions
• Bounds on the compactification scale of two universal extra dimensions from exclusive $b\to s\gamma$ decays
• Unified Maximally Natural Supersymmetry
• Fermionic states in pure 4D deconstruction
• Solutions for Intersecting Domain Walls with Internal Structure in Six Dimensions from a Z_2 x Z_2-invariant Action
• TeV-scale gravity in Horava-Witten theory on a compact complex hyperbolic threefold
• TeV Gravitons and Kaluza-Klein Excitations in $e^{+}{e}^{-}$ and $e^{-}{e}^{-}$ Collisions
• Analytical treatment of SUSY Quasi-normal modes in a non-rotating Schwarzschild black hole
• Thermal leptogenesis in a 5D split fermion scenario with bulk neutrinos
• Combining Left-Right And Quark-Lepton Symmetries In 5D
• CKM pattern from localized Generations in Extra Dimension
• Solutions to large B and L breaking in the Randall-Sundrum model
• The mass ratios parametrization
• Radiative lepton flavor violating decays in the Randall Sundrum background with localized leptons
• Flavour from Fractal Mass Chains
• Quark-Lepton Symmetry and Quartification in Five Dimensions
• The dark dimension, proton decay, and the length of the M-theory interval
• Cosmological Singularities in Brane Gravity
• Hierarchy of Fermion Masses in the 5D Standing Wave Braneworld
• $SO(10)$ thick branes and perturbative stability
• Flavor and LHC Searches for New Physics
• Quasi-localized wavefunctions on magnetized tori and tiny neutrino Yukawa couplings
• Geometry mediated SUSY breaking
• Electric Polarization Induced by Gravity in Fat Branes
• Brane solution with an increasing warp factor
• About Fermion Hierarchies from Warped Extra Dimensions
• Gauge-Higgs unification on the brane
• Low energy constraints on orbifold models
• Fermion spectrum and localization on kinks in a deconstructed dimension
• Effective action for a quantum scalar field in warped spaces
• Fermion Masses and Mixing in Four and More Dimensions
• Indirect tests of the Randall-Sundrum model
• Wavefunctions on $S^2$ with flux and branes
• Particle physics and cosmology with high-scale SUSY breaking in five-dimensional supergravity models
• The physics of intersecting thick to thin branes
• A Model for Neutrino and Charged Lepton Masses in Extra Dimensions
• Randall-Sundrum Models and Holography
• Unified Dark Matter from a Simple Gauge Group on a Domain-Wall Brane
• Fermion Confinement in Brane World Models with SO(10) Unification
• The Utility of Quantum Field Theory
• $\mu$ term and supersymmetry breaking from six dimensional theory
• Generating the Baryon Asymmetry of the Universe in Split Fermion Models
• Near-brane SU(6) origin Higgs in Scherk-Schwarz breaking of five-dimensional SU(6) GUT
• Quantization and High Energy Unitarity in Orbifold Theories
• A non-standard matter distribution in the RS1 model and the coupling constant of the radion
• SM gauge fields localized on non-Abelian vortices in 6 dimensions
• Numerical study of leptogenesis in a 5D split fermion model with bulk neutrinos
• Effects of virtual Majorana neutrinos on charged Lepton Flavor Violation decays from a seesaw variant with radiatively induced light neutrino masses
• Dark photon searches via Higgs boson production at the LHC and beyond
• From hidden symmetry to extra dimensions: a five dimensional formulation of the Degenerate BESS model
• Proton stability in low-scale extra-dimensional grand unified theories
• Flavor structure from misalignment of inner products in noncommutative geometry