PUB - Publikationen an der Universität Bielefeld

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 epsilon = ( 4- d)/ 2 are derived with inclusion of the terms of order epsilon in order to match the two-loop accuracy. For the photonic box master integral in d dimensions we compare several different methods of evaluation.