NLO QED Corrections to Hard-Bremsstrahlung Emission in Bhabha Scattering

TL;DR

This paper provides a numerical implementation of one-loop QED corrections to hard-bremsstrahlung in Bhabha scattering, enhancing simulation accuracy for electron-positron collider experiments.

Contribution

It introduces a modular code for calculating one-loop QED corrections to Bhabha scattering and related processes, using a reduction method suitable for different mass scales.

Findings

Implemented in a modular code for numerical evaluation.

Applied to e- e+ d7 mu- mu+ gamma process.

Enables improved Monte Carlo simulations.

Abstract

In this paper we present a numerical implementation of the one-loop QED corrections to the hard-bremsstrahlung process e- e+ \to e- e+ gamma. 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 also evaluate the one-loop QED corrections to e- e+ \to mu- mu+ gamma, which represents an interesting application of the method in the presence of two different mass scales in the loops.