Multiplicative NLO matching in DIS with Pythia 8

We present a new multiplicative next-to-leading order (NLO) matching scheme in Pythia 8 for deep-inelastic scattering (DIS) processes in electron-proton collisions. The implementation is based on numerical event-by-event integration over the virtual corrections and real-emission phase-space and matrix-element corrections (MECs) for the first parton-shower emission. The latter has been included for two parton-shower options currently available in Pythia 8 to handle DIS processes, the default shower with dipole-recoil option and Vincia. The implementation has been validated against other available NLO-capable event generators and compared to experimental data from the HERA collider. In all cases we find very good agreement confirming the validity of the new Pythia implementation. We also study the impact of the MECs in each shower and consider the implications for the upcoming Electron-Ion collider.