Monte Carlo program BHLUMI 2.01 For Bhabha scattering at low angles with Yennie-Frautschi-Suura exponentiation. Nature of problem: Small-angle Bhabha scattering process is used in all electron-positron colliders to calculate machine luminosity. This process is subject to QED radiative corrections which has to be known for arbitrary cut-offs and/or acceptance with precision at least factor three better than pure experimental precision. It means that the level of 0.2 per cent should be reached. The realistic simulation should include multiple emission of the bremsstrahlung photons. Solution method: The Monte Carlo simulation of the small-angle process is an ideal solution. It provides integrated cross-section for arbitrary cuts. Direct simulation of the final-state electrons and photos is precisely what is needed for detector simulation purpose.

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