We present a measurement of Z{sup 0} boson and Drell-Yan production cross sections in {bar p}p collisions at {radical} (s) =1.8 TeV using a sample of 107 pb{sup {minus}1} accumulated by the Collider Detector at Fermilab. The Drell-Yan cross section is measured in the mass range of M{sub {mu}{mu}}{gt}40 GeV/c{sup 2}. We compare the measurements with the predictions of quantum chromodynamics in both leading order and next-to-leading order, incorporating the recent parton distribution functions. The measurements are consistent with the standard model expectations. {copyright} {ital 1999} {ital The American Physical Society}
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