Bhabha scattering at LEP1. Calorimeter event selection

TL;DR

This paper presents analytical calculations of calorimeter event selection and QED corrections in small-angle electron-positron scattering at LEP1, comparing results with Monte Carlo simulations.

Contribution

It provides the first detailed analytical derivation of first, second, and third-order QED corrections for small-angle Bhabha scattering at LEP1.

Findings

Analytical results agree with Monte Carlo simulations

First-order QED correction derived with leading and next-to-leading logs

Higher-order corrections computed with leading accuracy

Abstract

Analitical calculations have been used to describe the calorimeter event selection in small-angle electron-positron scattering at LEP1. The first-order QED correction to the Born cross-section has been derived with leading log and the next-to-leading log approximations. The second- and the third-order corrections were computed with leading accuracy. The present analytical results are illustated by Tabeles and compared with the corresponding results obtained with the Monte Carlo generator BHLUMI.