  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.
