Beam Loading Scenarios with Electrons for PWFA LC in the Blowout Regime

We examine realistic beam loading scenarios for PWFA LC based on stages or an afterburner. We consider loading an electron beam into the wake created by a an electron beam driver. For collider applications the witness beam will have .1 to 1 nC of charge and normalized emittances of $\sim 100$ nm. This leads to matched spot sizes $\sim 100$ nm and witness beam densities $10^5$ times the background density. For such parameters it may be important to consider ion motion. We use QuickPIC and QPAD simulations and theory to investigate the effects of asymmetries in the wakes and the effects of ion motion both in isolation and together. Preliminary results will be presented on the energy spread and emittance preservation, and efficiency of from the drive beam to the witness beam for energies of interest to a collider.