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

$\mathrm{e}^+$$\mathrm{e}^-$ Beam-beam Parameter Study for a TeV-scale PWFA Linear Collider