NLO QED corrections to hard-bremsstrahlung emission in Bhabha scattering

We present a numerical implementation of the one-loop QED corrections to the hard-bremsstrahlung process e-e+→e-e+γ. These corrections can be included in the Monte Carlo event generators employed for simulating Bhabha scattering events at low-energy high-luminosity electron-positron colliders. The calculation is performed by employing the reduction method developed by Ossola, Papadopoulos and Pittau. Our results are implemented in a modular code for the numerical evaluation of the scattering amplitudes for any given phase-space point. In a similar way, we evaluate also the one-loop QED corrections to e-e+→μ-μ+γ, and show an interesting application of the method in the presence of two different mass scales in the loops.