Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2003-07-17
Int.J.Mod.Phys. A19 (2004) 3245-3254
Physics
High Energy Physics
High Energy Physics - Phenomenology
minor changes, three new refs. added, to appear in IJMPA
Scientific paper
10.1142/S0217751X04018282
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 $e^+ + e^- \to \mu^+ + \mu^-$. 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.
Nascimento J. R.
Pires A. de C. S.
Ribeiro R. F.
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