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We discuss the ultimate precision for ALR, and therefore for the weak mixingangle, at a high-luminosity Linear Collider. Drawing on our experience at theSLC, and considering various machine parameter sets for the NLC and for TESLA,it emerges that a compromise between peak luminosity and precision will be alikely outcome. This arises due to the severe requirements on the uncertaintyin the luminosity weighted collision energy (Ecm). We consider the cases withand without a polarized positron beam.Comment: Submitted to LCWS2000 (Linear Collider Workshop 20000), Fermilab,  10-24-200

Experimental issues for precision electroweak physics at a high-luminosity Z factory