Unitarity of compactified five-dimensional Yang–Mills theory

By R. Chivukula, D. Dicus, Hhong-Jian He. 2001

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Abstract Compactified five-dimensional Yang–Mills theory results in an effective four-dimensional theory with a Kaluza–Klein (KK) tower of massive vector bosons. We explicitly demonstrate that the scattering of the massive vector bosons is unitary at tree-level for low energies, and analyze the relationship between the unitarity violation scale in the KK theory and the nonrenormalizability scale in the five-dimensional gauge theory. In the compactified theory, low-energy unitarity is ensured through an interlacing cancellation among contributions from the relevant KK levels. Such cancellations can be understood using a Kaluza–Klein equivalence theorem which results from the geometric “Higgs” mechanism of compactification. In these theories, the unitarity violation is delayed to energy scales higher than the customary limit through the introduction of additional vector bosons rather than Higgs scalars.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/93e3874f2047d43b0981c24049ee6211aba62dae

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In Astronomy and Astrophysics

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Citations in the corpus

A comprehensive approach to new physics simulations (2009, background): “These theories are closely related [144] and each contains a tower of vector resonances which are responsible for unitarizing WW and WZ scattering in the absence of a fundamental scalar field (such as the Higgs) [145, 146, 147].”