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We calculate one-loop matching factors for bilinear operators composed ofimproved staggered fermions. We compare the results for different improvementschemes used in the recent literature, all of which involve the use of smearedlinks. These schemes aim to reduce, though not completely eliminate, O(a^2)discretization errors. We find that all these improvement schemes substantiallyreduce the size of matching factors compared to unimproved staggered fermions.The resulting corrections are comparable to, or smaller than, those found withWilson and domain-wall fermions. In the best case (``Fat-7'' and mean-fieldimproved HYP links) the corrections are 10 % or smaller at 1/a = 2 GeV.Comment: 13 pages, 1 figure (misleading sentence in sec. II removed; version  to appear in Physical Review D

One-loop matching coefficients for improved staggered bilinears