Possible Evidences of Kaluza-Klein Particles in a Scalar Model with Spherical Compactification

TL;DR

This paper investigates potential experimental signals of heavy Kaluza-Klein particles in a six-dimensional scalar model with spherical compactification, focusing on their impact on scattering processes at TeV-scale energies.

Contribution

It introduces a simple scalar model with spherical extra dimensions and calculates the one-loop scattering cross section, highlighting observable effects of Kaluza-Klein modes at TeV energies.

Findings

Kaluza-Klein tower effects become significant at energies above 1.4 times the inverse radius.

The model predicts measurable deviations in scattering cross sections due to extra dimensions.

The approach connects extra-dimensional physics with potential experimental signatures.

Abstract

Possible experimental manifestations of the contribution of heavy Kaluza-Klein particles, within a simple scalar model in six dimensions with spherical compactification, are studied. The approach is based on the assumption that the inverse radius $L^{-1}$ of the space of extra dimensions is of the order of the scale of the supersymmetry breaking $M_{SUSY} \sim 1 \div 10$ TeV. The total cross section of the scattering of two light particles is calculated to one loop order and the effect of the Kaluza-Klein tower is shown to be noticeable for energies $\sqrt{s} \geq 1.4 L^{-1}$.