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

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 λϕ^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.

34 pages, LaTeX, 12 figures

References in corpus (10)

• Radiative Corrections with 5D Mixed Position-/Momentum-space Propagators
• Renormalized Kaluza-Klein theories
• Loop Corrections in Higher Dimensions via Deconstruction
• Mass corrections in string theory and lattice field theory
• New Regulators for Quantum Field Theories with Compactified Extra Dimensions. II: Ultraviolet Finiteness and Effective Field Theory Implementation
• New Regulators for Quantum Field Theories with Compactified Extra Dimensions. I: Fundamentals
• Casimir Energy of 5D Electro-Magnetism and Sphere Lattice Regularization
• Casimir Energy of 5D Electromagnetism and New Regularization Based on Minimal Area Principle
• Casimir Energy of AdS5 Electromagnetism and Cosmological Constant Problem
• Gauge Threshold Corrections in Warped Geometry

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