Kaluza-Klein Masses and Couplings: Radiative Corrections to Tree-Level Relations

TL;DR

This paper examines how radiative corrections impact the expected mass and coupling relations of Kaluza-Klein particles in models with extra dimensions, potentially affecting experimental signatures.

Contribution

It analyzes the stability of tree-level Kaluza-Klein relations under one-loop radiative corrections in simple 5D models, identifying conditions for stability and deformation.

Findings

Radiative corrections can significantly modify Kaluza-Klein mass and coupling relations.

Certain conditions ensure the stability of tree-level relations against one-loop corrections.

Deformations of these relations could influence the interpretation of experimental data.

Abstract

The most direct experimental signature of a compactified extra dimension is the appearance of towers of Kaluza-Klein particles obeying specific mass and coupling relations. However, such masses and couplings are subject to radiative corrections. In this paper, using techniques developed in previous work, we investigate the extent to which such radiative corrections deform the expected tree-level relations between Kaluza-Klein masses and couplings. As toy models for our analysis, we investigate a flat five-dimensional scalar \lambda\phi^4 model and a flat five-dimensional Yukawa model involving both scalars and fermions. In each case, we identify the conditions under which the tree-level relations are stable to one-loop order, and the situations in which radiative corrections modify the algebraic forms of these relations. Such corrections to Kaluza-Klein spectra therefore have the potential to distort the apparent geometry of a large extra dimension.