ANALYTIC O(ALPHA(S)) RESULTS FOR BOTTOM AND TOP-QUARK PRODUCTION IN E(-) COLLISIONS()E()

We present a new derivation of the O(alpha(s)) angular distribution of the outgoing q-quark in the production process e(+)e(-) --> gamma,Z - -> q (q) over bar(g). In our calculation, we express the three-particl e phase-space integration of the gluon-bremsstrahlung process in terms of a general set of analytic integral solutions. A consistent treatme nt: of the QCD one-loop corrections to the axial-vector current deserv es special attention. This is relevant in the derivation of the forwar d-backward asymmetry predicted by the standard model. Finally, we prov ide the full analytical solutions for the differential rates in closed form and conclude with numerical estimates for bottom and top quark p roduction.