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We apply heat kernel techniques in N=1 superspace to compute the one-loopeffective action to order $F^5$ for chiral superfields coupled to a non-Abeliansuper Yang-Mills background. The results, when combined with those ofhep-th/0210146, yield the one-loop effective action to order $F^5$ for any N=2super Yang-Mills theory coupled to matter hypermultiplets.Comment: 23 pages, references adde

Higher order contributions to the effective action ofN=2 super Yang-Mills