BHABHA SCATTERING AT VERY SMALL ANGLES AT LEP

We have reanalysed the various terms contributing to the luminosity calculation in the angular region of the new silicon-tungsten calorimeters at LEP. The calculations of the QED O(alpha) corrections and of the higher-order leading-log corrections to the t-channel photon-exchange contribution have a technical precision of 0.03%, comparable to that shown for larger angles. The relative contribution of terms involving Z exchange is four times smaller than was the case for the old luminosity detectors. This also reduces the size of the errors related to this contribution. The error in the hadronic part of the photon vacuum polarization in the t-channel is 0.05%. The total theoretical error is estimated to be 0.25%.