About gauge invariance in compactified extra dimensions

Details About gauge invariance in compactified extra dimensions About gauge invariance in compactified extra dimensions

2011-05-23

arxiv.org/abs/1105.4625v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pages, 1 figure

Scientific paper

Gauge theories formulated in a space-time manifold that includes compact extra dimensions can show a nontrivial gauge structure. Depending on whether the gauge parameters propagate or not in the extra dimensions, two different Kaluza--Klein theories can arise when the extra dimensions are compactified. A comparison between these two possibilities, in the context of a five dimensional theory, is presented from both the theoretical and phenomenological viewpoints. The phenomenological implications of these theories are contrasted by discussing the one--loop decay of the Higgs boson into two photons. It is shown that the amplitude for this decay differs substantially from one approach to the other and that such a difference is intimately related to gauge invariance.

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