Chiral fermions and gauge-fixing in five-dimensional theories

Abstract

We study in detail the issue of gauge-fixing in theories with one universal extra dimension, i.e. theories where both bosons and fermions display Kaluza-Klein (KK) excitations. The extra dimension is compactified using the standard orbifold construction for a massless chiral fermion. We carry out the gauge-fixing procedure at the level of the five-dimensional theory and determine the tree-level propagators and interaction vertices needed for performing perturbative calculations with the effective four-dimensional theory resulting after the compactification. The gauge-independence of the tree-level S-matrix involving massive KK modes is verified using specific examples. In order to obtain massive fermionic zero modes one has to enlarge the theory by introducing a set of mirror fermions, a construction which is carried out in detail. Finally, the gauge-independence of the tree-level S-matrix involving the resulting new mass-eigenstates is proved by resorting to generalized current conservation equations.

10 pages, 5 figures, revtex and axodraw

References in corpus (1)

• Bounds on Universal Extra Dimensions

Cited by in corpus (25)

• Bulk and brane radiative effects in gauge theories on orbifolds
• Collider Implications of Universal Extra Dimensions
• Minimal Higher-Dimensional Extensions of the Standard Model and Electroweak Observables
• The Phenomenology of Universal Extra Dimensions at Hadron Colliders
• Higgsless fermion masses and unitarity
• Lepton Flavor Violation in Extra Dimension Models
• Can power corrections be reliably computed in models with extra dimensions?
• Quantization and High Energy Unitarity of 5D Orbifold Theories with Brane Kinetic Terms
• Gravity and Matter in Extra Dimensions
• Monojet and Single Photon Signals from Universal Extra Dimensions
• A note on gauge-fixing in the electroweak sector of nmUED
• The Effective Potential and Vacuum Stability within Universal Extra Dimensions
• Phenomenology of a 5D Orbifold $SU(3{)}_W$ Unification model
• Applying EFT to Higgs Pair Production in Universal Extra Dimensions
• Threshold production of meta-stable bound states of Kaluza Klein excitations in Universal Extra Dimensions
• Implications of extra dimensions on the effective charge and the beta function in quantum electrodynamics
• Collider Implications of Multiple Non-Universal Extra Dimensions
• Effects of universal extra dimensions on top-quark electromagnetic interactions
• B Physics and Extra Dimensions
• Collider Implications of a Non-Universal Higgs
• A Mechanism for Kaluza-Klein Number Violation in UED and Implications for LHC
• A Kaluza-Klein Model with Spontaneous Symmetry Breaking: Light-Particle Effective Action and its Compactification Scale Dependence
• Quantization and High Energy Unitarity in Orbifold Theories
• Diphoton Higgs signal strength in universal extra dimensions
• Five-Dimensional QED, Muon Pair Production and Correction to the Coulomb Potential