  We perform a beam-beam parameter study for a TeV-scale PWFA (particle-driven
plasma wakefield acceleration) $\mathrm{e}^+$$\mathrm{e}^-$ linear collider
using GUINEA-PIG simulations. The study shows that the total luminosity follows
the $1/\sqrt{\sigma_z}$-scaling predicted by beamstrahlung theory, where
$\sigma_z$ is the rms beam length, which is advantageous for PWFA, as short
beam lengths are preferred. We also derive a parameter set for a 3 TeV PWFA
linear collider with main beam parameters optimised for luminosity and
luminosity spread introduced by beamstrahlung.
  Lastly, the study also compare the performance for scenarios with reduced
positron beam charge at 3 TeV and 14 TeV with CLIC parameters.
