Monte Carlo Approach to Radiative Corrections in Bhabha Scattering

A new Monte Carlo model is proposed for radiative corrections to Bhabha scattering by extending QEDPS developed for multi-photon emission in muon pair production in $e^{+}{e}^{-}$ annihilation. This is the QED version of the model known as parton shower in QCD. The main difference between muon pair production and Bhabha scattering is that the latter cross section shows the singularity of $1\mathrm{/}{t}^2$. A shower algorithm is constructed on the radiator formalism modified in a suitable form for this singularity. Some results of the model are presented and compared with $O(\alpha )$ corrections.