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We compute next-to-leading order QCD corrections to the process $gg\to ZH$.In the effective-theory approach we confirm the results in the literature. Weconsider top quark mass corrections via an asymptotic expansion and show thatthere is a good convergence below the top quark threshold which describesapproximately {\num a quarter} of the total cross section. Our corrections areimplemented in the publicly available {\tt C++} program {\tt ggzh}.

On top quark mass effects to $gg\to ZH$ at NLO