BHABHA SCATTERING AT VERY SMALL ANGLES AT LEP

We have reanalysed the various terms contributing to the luminosity ca lculation in the angular region of the new silicon-tungsten calorimete rs 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 luminos ity detectors. This also reduces the size of the errors related to thi s contribution. The error in the hadronic part of the photon vacuum po larization in the t-channel is 0.05%. The total theoretical error is e stimated to be 0.25%.