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We present results for matching factors for bilinear operators composed ofHYP-smeared staggered fermions and constructed using HYP-smeared fat links. Thematching factors are calculated perturbatively at one-loop order. The newfeature of our calculation compared to previous work on HYP-smeared staggeredfermions is the use of the Symanzik-improved gluon propagator, which allows ourresults to be applied to our ongoing simulations based on configurationsgenerated by the MILC collaboration. We address the issue of the relativeefficiency of various improvement schemes in reducing one-loop corrections tothe matching factors.

One loop matching factors for staggered bilinear operators with improved glue