Small Angle Bhabha Scattering for LEP

Original · EN

We present the results of our calculations to a one, two, and three loop approximation of the e+e-+e- Bhabha scattering cross-section at small angles. All terms contributing to the radiatively corrected cross-section, within an accuracy of δσ/ σ= 0.1 %, are explicitely evaluated and presented in an analytic form. O(α) and O(α²) contributions are kept up to next-to-leading logarithmic accuracy, and O(α³) terms are taken into account to the leading logarithmic approximation. We define an experimentally measurable cross-section by integrating the calculated distributions over a given range of final-state energies and angles. The cross-sections for exclusive channels as well as for the totally integrated distributions are also given.