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We compute next-to-leading order virtual two-loop corrections to the process$gg\to ZZ$ in the low- and high-energy limits, considering the contributionswith virtual top quarks. Analytic results for all 20 form factors are presentedincluding expansion terms up to $1/m_t^{12}$ and $m_t^{32}$. We use a Pad\'eapproximation procedure to extend the radius of convergence of the high-energyexpansion and apply this approach to the fini\ te virtual next-to-leading ordercorrections.

$gg\to ZZ$: analytic two-loop results for the low- and high-energy regions