Vector boson scattering and boundary conditions in Kaluza-Klein toy model

TL;DR

This paper investigates a 5D gauge theory model for electroweak symmetry breaking, showing that vector boson scattering amplitudes remain well-behaved at high energies regardless of boundary conditions, extending previous findings.

Contribution

It provides a systematic analysis of boundary conditions in a 5D gauge model, demonstrating their impact on vector boson scattering without causing high-energy growth.

Findings

Scattering amplitudes do not grow power-like at high energies.

Boundary conditions can be chosen freely without affecting amplitude behavior.

Results extend previous analyses to more general boundary conditions.

Abstract

We study a simple higher-dimensional toy model of electroweak symmetry breaking, in particular a pure gauge 5D theory on flat background with one extra finite space dimension. The principle of least action and the requirement of gauge independence of scattering amplitudes are used to determine the possible choices of boundary conditions. We demonstrate that for any of these choices the scattering amplitudes of vector bosons do not exhibit power-like growth in the high energy limit. Our analysis is an extension and generalization of the results obtained previously by other authors.