Robust Monte Carlo generators are crucial for analysing low-energy electron-positron scattering, which is essential for precision tests of the Standard Model, such as the determination of the hadronic vacuum polarisation contribution to the muon. The community-driven initiative RadioMonteCarlow2 (RMCL2) aims to collect, improve, and facilitate the use of tools for differential cross-sections of leptons and hadrons at centre-of-mass energies of a few GeV.
In the first part of this talk, I will summarise Phase I (arXiv:2410.22882) of this initiative, providing comparisons of Monte Carlo predictions for muon, pion, and electron pair production in energy-scan and radiative-return experiments. In a second part, I will discuss soft-photon resummation (based on YFS) and its implementation using tensor decomposition, offering insight into higher-order radiative corrections for these processes.
