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First order radiative corrections to Bhabha scattering in $d$ dimensions

J. Fleischer·J. Gluza·A. Lorca·T. Riemann
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Abstract

The luminosity measurement at the projected International Linear $e^+e^-$ Collider ILC is planned to be performed with forward Bhabha scattering with an accuracy of the order of $10^{-4}$. A theoretical prediction of the differential cross-section has to include one-loop weak corrections, with leading higher order terms, and the complete two-loop QED corrections. Here, we present the weak part and the virtual one-loop photonic corrections. For the photonic corrections, the expansions in $ε= (4-d)/2$ are derived with inclusion of the terms of order $ε$ in order to match the two-loop accuracy. For the photonic box master integral in $d$ dimensions we compare several different methods of evaluation.

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J. Fleischer, J. Gluza, A. Lorca, T. Riemann. 2006-06-22. First order radiative corrections to Bhabha scattering in $d$ dimensions. https://doi.org/10.1140/epjc%2Fs10052-006-0008-6

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