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Small-Angle Electron-Positron Scattering

A. B. Arbuzov, V. S. Fadin, E. A. Kuraev, L. N. Lipatov, N. P. Merenkov, L. G. Trentadue

hep-pharXiv:hep-ph/9606425

Abstract

We consider small--angle electron--positron scattering in Quantum Electrodynamics. Leading logarithmic contributions to the cross--section are explicitly calculated to three loop. Next--to--leading terms are exactly computed to two loop. All the radiative corrections due to photons as well as pair production are taken into account. The impact of newly evaluated next-to-leading and higher order leading corrections is discussed and numerical results are explicitly given. The results obtained are generally valid for high and low energy e+e- colliders. At LEP and SLC these results can be used to reduce the uncertainty on the cross--section below the per mille level. PACS numbers 12.15.Lk, 12.20.--m, 12.20.Ds, 13.40.--f

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