Simulation design for forthcoming high quality plasma wakefield acceleration experiment in linear regime at SPARC_LAB

In the context of plasma wakefield acceleration beam driven, we exploit a high density charge trailing bunch whose self-fields act by mitigating the energy spread increase via beam loading compensation, together with bunch self-contain operated by the self-consistent transverse field. The work, that will be experimentally tested in the SPARC_LAB test facility, consists of a parametric scan that allows to find optimized parameters in order to preserve the high quality of the trailing bunch over the entire centimeters acceleration length, with a final energy spread increase of $0.1\text{\%}$ and an emittance increase of $5\mathrm{nm}$. The stability of trailing bunch parameters after acceleration is tested employing a systematic scan of the parameters of the bunches at the injection. The results show that the energy spread increase keeps lower than 1% and the emittance increase is lower than 0.02 mm mrad in all the simulations performed. The energy jitter is of the order of 5%.