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Various proposals for a new $e^+ e^-$ collider operating below 1 TeV are nowunder consideration by the worlwide High Energy Physics community. Among theseare the International Linear Collider and the Circular Electron PositronCollider. We describe high statistics Standard Model background simulationsamples generated with MG5_aMC@NLO for $e^+e^-$ collider studies at$\sqrt{s}=91,250,350,500$ GeV. Fast detector simulation is performed withDelphes and DSiD, the detector card for the SiD detector. The samples arecompared with other simulation samples generated with Whizard.

Backgrounds for Fast Simulation $\mathbf{e^+ e^-}$ Collider Studies at $\mathbf{\sqrt{s}=91,250,350,500}$ GeV