Small-Angle Electron-Positron Scattering

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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11 pages, Latex file epsfig.sty with 3 PostScript figures

Scientific paper

10.1016/S0370-2693(96)01671-1

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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