Exact results on e+e--->e+e-+2 gamma at energies reached at the SLAC Linear Collider and CERN e+e- collider LEP.

Abstract

We use the spinor methods of the CALKUL Collaboration, as realized by Xu, Zhang, and Chang, to calculate the differential cross section for ${e}^{+}{e}^{\ensuremath{-}}\ensuremath{\rightarrow}{e}^{+}{e}^{\ensuremath{-}}+2\ensuremath{\gamma}$ for c.m. system energies in the regime of the SLAC Linear Collider (SLC) and CERN ${e}^{+}{e}^{\ensuremath{-}}$ collider LEP. An explicit complete formula for the respective cross section is obtained. The leading-logarithmic approximation is used to check the formula. Applications of the formula to high-precision luminosity calculations at the SLAC and/or LEP are discussed.