The Gauge Hierarchy Problem and Higher Dimensional Gauge Theories

Abstract

We report on an attempt to solve the gauge hierarchy problem in the framework of higher dimensional gauge theories. Both classical Higgs mass and quadratically divergent quantum correction to the mass are argued to vanish. Hence the hierarchy problem in its original sense is solved. The remaining finite mass correction is shown to depend crucially on the choice of boundary condition for matter fields, and a way to fix it dynamically is presented. We also point out that on the simply-connected space $S^2$ even the finite mass correction vanishes.

LaTeX2e. 12 pages, 3 Postscript figures; Added references, some comments

Cited by in corpus (246)

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• Composite Higgses
• Big Corrections from a Little Higgs
• Supersymmetry and Electroweak breaking from extra dimensions at the TeV-scale
• Finite Higgs mass without Supersymmetry
• Electroweak symmetry breaking and fermion masses from extra dimensions
• General Composite Higgs Models
• Extranatural Inflation
• Light Kaluza-Klein States in Randall-Sundrum Models with Custodial SU(2)
• Standard Model Higgs from Higher Dimensional Gauge Fields
• Electroweak constraints on warped models with custodial symmetry
• Unification of Higgs and Gauge Fields in Five Dimensions
• The Hosotani Mechanism in Bulk Gauge Theories with an Orbifold Extra Space S^1/Z_2
• Gauge-Higgs Unification and Radiative Electroweak Symmetry Breaking in Warped Extra Dimensions
• Pseudonatural Inflation
• The Origin of Spontaneous Symmetry Breaking in Theories with Large Extra Dimensions
• Bulk and brane radiative effects in gauge theories on orbifolds
• Gauge-Higgs Unification in Higher Dimensions
• Dynamical symmetry breaking in Gauge-Higgs unification on orbifold
• Boundary conditions as constraints
• Dynamical Rearrangement of Gauge Symmetry on the Orbifold S^1/Z_2
• Pseudo-Goldstone Higgs Production via Gluon Fusion
• Higgs Boson Mass and Electroweak-Gravity Hierarchy from Dynamical Gauge-Higgs Unification in the Warped Spacetime
• Dynamical Electroweak Symmetry Breaking in SO(5)xU(1) Gauge-Higgs Unification with Top and Bottom Quarks
• Fully Radiative Electroweak Symmetry Breaking
• Towards A Realistic Grand Gauge-Higgs Unification
• Warped 5-Dimensional Models: Phenomenological Status and Experimental Prospects
• A QCD Axion from Higher Dimensional Gauge Field
• Dynamical Gauge-Higgs Unification in the Electroweak Theory
• Unification of Gauge, Higgs and Matter in Extra Dimensions
• Gauge-Higgs Unification in Orbifold Models
• Two loop finiteness of Higgs mass and potential in the gauge-Higgs unification
• Collider Phenomenology of Gauge-Higgs Unification Scenarios in Warped Extra Dimensions
• Scalar Fields, Hierarchical UV/IR Mixing and The Weak Gravity Conjecture
• A Model of Electroweak Symmetry Breaking from a Fifth Dimension
• About the holographic pseudo-Goldstone boson
• Anomalous Higgs Couplings in the $SO(5)\times U(1{)}_{B-L}$ Gauge-Higgs Unification in Warped Spacetime
• Two-loop Calculation of Higgs Mass in Gauge-Higgs Unification: 5D Massless QED Compactified on S^1
• Pseudo-Dirac Scenario for Neutrino Oscillations
• Gauge Higgs Unification in the Left-Right Model
• Gauge-Higgs Unification and Quark-Lepton Phenomenology in the Warped Spacetime
• Grand Gauge-Higgs Unification
• Gauge-Higgs Grand Unification
• Dynamical Gauge Symmetry Breaking and Mass Generation on the Orbifold T^2/Z_2
• Gauge-Higgs unification in the 5 dimensional E_6 and E_7 GUTs on orbifold
• Supersymmetry breaking on orbifolds from Wilson lines
• Polyakov loops and the Hosotani mechanism on the lattice
• Six Dimensional Gauge-Higgs Unification with an Extra Space S^2 and the Hierarchy Problem
• Electroweak Symmetry Breaking in Supersymmetric Gauge-Higgs Unification Models
• Matter Representations and Gauge Symmetry Breaking via Compactified Space
• Radiative brane-mass terms in D>5 orbifold gauge theories
• Novel universality and Higgs decay H -> γγ, gg in the SO(5) x U(1) gauge-Higgs unification
• Effective Action and Holography in 5D Gauge Theories
• Classification and dynamics of equivalence classes in SU(N) gauge theory on the orbifold $S^1/Z_2$
• The Electroweak Phase Transition on Orbifolds with Gauge-Higgs Unification
• A naturally light Higgs without light Top Partners
• Yukawa Couplings and Effective Interactions in Gauge-Higgs Unification
• Electroweak Symmetry Breaking and Precision Tests with a Fifth Dimension
• TeV-scale Supersymmetric Standard Model and Brane World
• WWZ, WWH, and ZZH Couplings in the Dynamical Gauge-Higgs Unification in the Warped Spacetime
• Gauge-Higgs Unification, Neutrino Masses and Dark Matter in Warped Extra Dimensions
• Aspects of Phase Transition in Gauge-Higgs Unification at Finite Temperature
• Higgs-gauge unification without tadpoles
• Gauge-Higgs Unification at LHC
• A general formula of the effective potential in 5D SU(N) gauge theory on orbifold
• Saving Natural Inflation
• Mass hierarchy and localization of gravity in extra time
• Effective theoretical approach of Gauge-Higgs unification model and its phenomenological applications
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• Finite Anomalous Magnetic Moment in the Gauge-Higgs Unification
• An Attempt to Solve the Hierarchy Problem Based on Gravity-Gauge-Higgs Unification Scenario
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• Di-photon portal to warped gravity
• Effective theories of gauge-Higgs unification models in warped spacetime
• Distinct signals of the gauge-Higgs unification in $e^{+}{e}^{-}$ collider experiments
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• Model Building with Gauge-Yukawa Unification
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• Classification of NLO operators for composite Higgs models
• Coupling Unifications in Gauge-Higgs Unified Orbifold Models
• LHC signals of the $SO(5)\times U(1)$ gauge-Higgs unification
• Universal Extra Dimensions on Real Projective Plane
• Calculable One-Loop Contributions to S and T Parameters in the Gauge-Higgs Unification
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• Finite Gluon Fusion Amplitude in the Gauge-Higgs Unification
• GUT inspired $SO(5)\times U(1)\times SU(3)$ gauge-Higgs unification
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• Neutron Electric Dipole Moment in the Gauge-Higgs Unification
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• Supersymmetry in gauge theories with extra dimensions
• The effective potential and universality in GUT inspired gauge-Higgs unification
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• Supersymmetry in 5d Gravity
• Bulk Mass Effects in Gauge-Higgs Unification at Finite Temperature
• Yukawa couplings in 6D gauge-Higgs unification on $T^2/Z_N$ with magnetic fluxes
• Radion Assisted Gauge Inflation
• The Standard Model Gauge Symmetry from Higher-Rank Unified Groups in Grand Gauge-Higgs Unification Models
• Gauge-Higgs Seesaw Mechanism in Six-Dimensional Grand Unification
• Fermion pair production at $e^{-}{e}^{+}$ linear collider experiments in GUT inspired gauge-Higgs unification
• The Higgs Mass, Superconnections and the TeV-scale Left-Right Symmetric Model
• Higgs Boson Mass From Gauge-Higgs Unification
• Non-perturbative definition of five-dimensional gauge theories on the R^4 x S^1/Z_2 orbifold
• More on the Finiteness of Anomalous Magnetic Moment in the Gauge-Higgs Unification
• Dynamical symmetry breaking in Gauge-Higgs unification of 5D $\mathcal{N}=1$ SUSY theory
• Flux compactifications and naturalness
• Minimal gauge-Higgs unification with a flavour symmetry
• Holographic Methods and Gauge-Higgs Unification in Flat Extra Dimensions
• Flavor Mixing in Gauge-Higgs Unification
• Anomalous Higgs Interactions in Gauge-Higgs Unification
• Phase structure and Hosotani mechanism in gauge theories with compact dimensions revisited
• Dimensional Duality
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• Gauge-Higgs Dark Matter
• Fermionic vacuum currents in topologically nontrivial braneworlds: Two-brane geometry
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• Natural Milli-Charged Inflation
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• Revisiting Electroweak Symmetry Breaking and Higgs Mass in Gauge-Higgs Unification
• Soft electroweak breaking from hard supersymmetry breaking
• Collider signals of $W^{\prime }$ and $Z^{\prime }$ bosons in the gauge-Higgs unification
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• The Higgs Particle and Higher-Dimensional Theories
• Collider signatures of the SO(5) x U(1) gauge-Higgs unification
• Loop Corrections in Higher Dimensions via Deconstruction
• Selecting Gauge Theories on an Interval by 5D Gauge Transformations
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• Weak boson scattering in Gauge-Higgs Unification
• Electroweak and Left-Right Phase Transitions in $SO(5)\times U(1)\times SU(3)$ Gauge-Higgs Unification
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• SUSY breaking scales in the gauge-Higgs unification
• Is the 126 GeV Higgs Boson Mass Calculable in Gauge-Higgs Unification?
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• Extra-dimensional models on the lattice
• Forward-backward asymmetry in the gauge-Higgs unification at the International Linear Collider
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• Vacuum Structure of Twisted Scalar Field Theories on M^{D-1} \otimes S^1
• Gauge-Higgs unification with brane kinetic terms
• Virtual and Thermal Schwinger Processes
• Correct Effective Potential of Supersymmetric Yang-Mills Theory on M^4\times S^1
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• Gauge Coupling Unification in simplified Grand Gauge-Higgs Unification
• Supersymmetry Breaking by Constant Boundary Superpotentials in Warped Space
• Multi-phases in gauge theories on non-simply connected spaces
• Majorana neutrino masses in the scenario of gauge-Higgs unification
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• Multi-Higgs Mass Spectrum in Gauge-Higgs Unification
• A New Class of Rank Breaking Orbifolds
• On Gauge Symmetry Breaking via Euclidean Time Component of Gauge Fields
• Unification of gauge and Yukawa couplings
• 6D gauge-Higgs unification on T^2/Z_N with custodial symmetry
• Probability of the Standard Model Appearance from a Matrix Model
• 125 GeV Higgs boson mass from 5D gauge-Higgs unification
• Bilepton production in electron-gamma collisions
• Gauge Theories on an Interval: Unitarity without a Higgs
• Single Higgs Boson Production at Electron-Positron Colliders in Gauge-Higgs Unification
• Renormalized masses of heavy Kaluza-Klein states
• Radion and Higgs masses in gauge-Higgs unification
• Phase Structures of SU(N) Gauge-Higgs Models on Multiply Connected Spaces
• $U(1{)}_{B-L}$ extra-natural inflation with Standard Model on a brane
• Massless bosons on domain walls: Jackiw-Rebbi-like mechanism for bosonic fields
• Anomaly flow by an Aharonov-Bohm phase
• Higgs-Inflaton Potential in Higher-Dimensional SUSY Gauge Theories
• Signals of $W^{\prime }$ and $Z^{\prime }$ bosons at the LHC in the $SU(3)\times SO(5)\times U(1)$ gauge-Higgs unification
• On representation matrices of boundary conditions in $SU(n)$ gauge theories compactified on two-dimensional orbifolds
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• Warped Hybrid Inflation
• Family Unification via Quasi-Nambu-Goldstone Fermions in String Theory
• Bhabha scattering in the gauge-Higgs unification
• Gauge hierarchy problem, supersymmetry and fermionic symmetry
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• Mass spectrum in a six-dimensional $SU(n)$ gauge theory on a magnetized torus
• Predictions of the Higgs mass and the weak mixing angle in the 6D gauge-Higgs unification
• Radion stabilization in the presence of Wilson line phase
• Large Field Inflation Models from Higher-Dimensional Gauge Theories
• Natural inflation in 5D warped backgrounds
• The implication of gauge-Higgs unification to the hierarchical fermion masses
• A Supersymmetric Grand Unified Model with Noncompact Horizontal Symmetry
• Radion Inflation in Higher-Dimensional Gravity Theory
• Large Field Excursions from Dimensional (De)construction
• Novel modulus stabilization mechanism in higher dimensional f(R) Gravity
• Strong First Order Electroweak Phase Transition in Gauge-Higgs Unification at Finite Temperature
• Higgs potential in gauge-Higgs unification with a flat extra dimension
• Gravitational Origin of Quark Masses in an Extra-Dimensional Brane World
• Constraints on gauge-Higgs unification models at the LHC
• Three family unification in higher dimensional models
• Gauge Symmetry Breaking in Flux Compactification with Wilson-line Scalar Condensate
• Quantum baryon number fluctuations in subsystems of a hot and dense relativistic gas of fermions
• Dynamical Breaking to Special or Regular Subgroups in $SO(N)$ Nambu--Jona-Lasinio Model
• Cancellation of One-loop Corrections to Scalar Masses in Flux Compactification with Higher Dimensional Operators
• Coupling Sum Rules and Oblique Corrections in Gauge-Higgs Unification
• Probability distribution over some phenomenological models in the matrix model compactified on a torus
• Few remarks on the Higgs boson decays in gauge-Higgs unification
• Constraints on realistic Gauge-Higgs unified models
• Universality in Anomaly Flow
• Anomalous Higgs interactions in dimensional deconstruction
• New classification method for Equivalence Classes on $S^1/Z_2$ and $T^2/Z_3$ Orbifolds
• Relation between higher-dimensional gauge theories and gravitational waves from first-order phase transitions
• 't Hooft-Polyakov monopole and instanton-like topological solution in gauge-Higgs unification
• Is Symmetry Breaking into Special Subgroup Special?
• Extranatural Flux Inflation
• The lightest Higgs boson mass in effective field theory with bulk and brane supersymmetry breaking
• Gauge-Higgs Unification In Spontaneously Created Fuzzy Extra Dimensions
• Majorana Fermions and CP Violation from 5-dimensional Theories; a Systematic Approach
• Non-analytic Term in Effective Potential at Finite Temperature for Scalar Field on Compactified Space
• Gauge-Higgs Unification: Stable Higgs Bosons as Cold Dark Matter
• One-loop effective potential in M4 x T2 with and without 't Hooft flux
• Is the Higgs a sign of extra dimensions?
• Gauge Threshold Corrections in Warped Geometry
• Intermediate-scale vertex corrections for zero mode in warped space
• Reducing the Quadratic Divergence in the Higgs Mass Squared Without Top Partners
• Trace conservation laws in $T^2/Z_m$ orbifold gauge theories
• Operators in ultraviolet completions for collective symmetry breaking
• Single Z' production at CLIC based on e^- gamma collisions
• Wavefunctions on $S^2$ with flux and branes
• Gauge Symmetry Restoration by Higgs Condensation in Flux Compactifications on Coset Spaces
• Neutrino oscillations and PMNS matrix in gauge-Higgs unification
• Towards Z_2-protected gauge--Higgs unification
• Extranatural Inflation Redux
• Graviton loop contribution to Higgs potential in gauge-Higgs unification
• Mass ratio of W and Z bosons in SU(5) gauge-Higgs unification
• A possible minimal gauge-Higgs unification
• Phenomenological studies in the matrix models
• The Gluon Exchange Model in proton-nucleus collisions
• Family Unification in $SO(16)$ Grand Unification
• Leptogenesis in five-dimensional asymptotic Grand Unification models
• SU(2/1) gauge-Higgs unification
• Symmetry breaking caused by large R-charge
• Pseudo-Nambu-Goldstone bosons and tachyons in flux compactification
• Phase structure of $SU(3)$ gauge-Higgs unification models at finite temperature