$\mathcal{O}({\alpha }^2)$ Next-to-Leading Photonic Corrections to Small-Angle Bhabha Scattering in the Structure Function Formalism

Abstract

A general method for computing $\mathcal{O}({\alpha }^2)$ and higher-order next-to-leading photonic corrections is presented and applied to the precision calculation of the small-angle Bhabha scattering cross section in the phase-space region of interest for the luminosity measurement at LEP. The formulation is based on a proper matching of exact $\mathcal{O}(\alpha )$ results with higher-order corrections in the Structure Function formalism. The results of the approach are analytically compared with theoretical calculations, both for $s$- and $t$-channel processes, available for simple Event Selections. Numerical predictions for realistic Event Selections are also provided and critically compared with the ones existing in the literature.

16 pages, gzip'ed uuencoded tar file

References in corpus (4)

• Small-Angle Electron-Positron Scattering with a Per Mille Accuracy
• The present theoretical error on the Bhabha scattering cross section in the luminometry region at LEP
• Exact O(alpha) Corrections to the Single Hard Bremsstrahlung Process in Low Angle Bhabha Scattering in the SLC/LEP Energy Regime
• SABSPV - A Monte Carlo Integrator for Small-Angle Bhabha Scattering

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• Mini-review on Monte Carlo programs for Bhabha scattering
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