SMALL-ANGLE ELECTRON-POSITRON SCATTERING WITH A PER MILLE ACCURACY

The elastic and inelastic high-energy small-angle electron-positron sc attering is considered. All radiative corrections to the cross section with the relative accuracy delta sigma/sigma=0.1% are explicitly take n into account. According to the generalized eikonal representation fo r the elastic amplitude, in higher orders only diagrams with one excha nged photon may be considered, Single-photon emission with radiative c orrections and next-to-leading two-photon and pair production diagrams are evaluated, together with leading three-loop corrections, All cont ributions have been calculated analytically, We integrate the calculat ed distributions over typical for LEP 1 experiments intervals of angle s and energies, To the leading approximation, the results are shown to be described in terms of kernels of electron structure functions. Som e numerical results are presented.