Single and Multi-bunch End-to-end Tracking in the LHeC

The LHeC study aims at delivering an electron beam for collision with the LHC proton beam. The current base- line design consists of a multi-pass superconductive energy- recovery linac operating in a continuous wave mode. The high current beam ($\sim$ 100 mA) in the linacs excites long- range wake-fields between bunches of different turns, which induce instabilities and might cause beam losses. PLACET2, a novel version of the tracking code PLACET, capable to handle recirculation and time dependencies, has been em- ployed to perform the first LHeC end-to-end tracking. The impact of long-range wake-fields, synchrotron radiation, and beam-beam effects has been assessed. The simulation results and recent improvements in the lattice design are presented and discussed in this paper.