Beam-beam simulations for a 10 TeV collider

The HEP community has recently started considering lepton colliders based on plasma acceleration with the goal of achieving extreme center-of-mass energies (~10 TeV) and luminosities (~10³⁵ cm⁻² s⁻¹). This concept is in its early stages and requires a community effort to investigate the feasibility and possible designs of such a collider. One of the key challenges is the development of modeling tools that can be considered accurate and reliable even under this extreme regime of interaction. Here, we present WarpX, a particle-in-cell code that can model both the plasma-based acceleration stages and the interaction point. We detail the most recent code developments and efforts to provide a widespread user base. We show new simulation results for different types of beams (e.g. round vs. flat, electron-electron vs. electron-positron) that address the role of beamstrahlung and secondary pair generation. These results can provide a baseline for next feasibility studies and conceptual designs of a plasma based collider.