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Five-Dimensional QED, Muon Pair Production and Correction to the Coulomb Potential

J. R. Nascimento·C. A de S. Pires·R. F. Ribeiro
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Abstract

We consider QED in five dimensions in a configuration where matter is localized on a 3-brane while foton propagates in the bulk. The idea is to investigate the effects of the Kaluza-Klein modes of the photon in the relativistic regime, but in low energy, and in the nonrelativistic regime. In the relativistic regime, we calculate the cross section for the reaction $e^+ + e^- \to μ^+ + μ^-$. We compare our theoretical result with a precise measurement of this cross section at $\sqrt{s}=57.77$ GeV. As result, we extract a lower bound on the size of the extra dimension. In the nonrelativistic regime, we derive the contribution for the Coulomb potential due to the whole tower of the Kaluza-Klein excited modes of the photon. We use the modified potential to calculate the Rutherford scattering differential cross section.

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J. R. Nascimento, C. A de S. Pires, R. F. Ribeiro. 2004-01-08. Five-Dimensional QED, Muon Pair Production and Correction to the Coulomb Potential. https://doi.org/10.1142/s0217751x04018282

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