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Small Angle Bhabha Scattering for LEP

A. Arbuzov·V. Fadin·E. Kuraev·L. Lipatov·N. Merenkov·L. Trentadue
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Abstract

We present the results of our calculations to a one, two, and three loop approximation of the e$^+$e$^-$$\rightarrow$e$^+$e$^-$ 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 $O(α^2)$ contributions are kept up to next-to-leading logarithmic accuracy, and $O(α^3)$ 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.

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A. Arbuzov, V. Fadin, E. Kuraev, L. Lipatov, N. Merenkov, L. Trentadue. 1995-06-14. Small Angle Bhabha Scattering for LEP. https://arxiv.org/abs/hep-ph/9506323

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