Small-Angle Electron-Positron Scattering

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 p...

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Bibliographic Details
Published inarXiv.org
Main Authors Arbuzov, A B, Fadin, V S, Kuraev, E A, Lipatov, L N, Merenkov, N P, Trentadue, L G
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 25.06.1996
Subjects
Pair production
Photons
Positron scattering
Quantum electrodynamics
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Summary: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
ISSN:2331-8422
DOI:10.48550/arxiv.9606425