ANALYTICAL RESULTS FOR LOW-ANGLE BHABHA SCATTERING WITH PAIR PRODUCTION

We calculate the effect of pair production on the luminosity process o f low-angle Bhabha scattering at the SLAC Linear Collider (SLC) and/or CERN e+e- collider LEP. We work in the leading-logarithm approximatio n to orders alpha2 and alpha3 for the nonsinglet and the singlet contr ibutions, respectively. In particular we calculate the size of the sin glet contribution to be below 0.007% for the energy cuts x(c) > 0.1, a s was estimated by Jadach and co-workers. In this way, we remove the c ontribution of such pairs from the theoretical uncertainty in the SLC/ LEP luminosity calculation of Jadach and co-workers via the Monte Carl o BHLUMI 2.01 at the precision level of 0.01%. Results are illustrated for typical SLC/LEP acceptance cuts.