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We use QCD Laplace sum-rules to study meson-hybrid mixing in vector($1^{--}$) heavy quarkonium. We compute the QCD cross-correlator between aheavy meson current and a heavy hybrid current within the operator productexpansion. In addition to leading-order perturbation theory, we include four-and six-dimensional gluon condensate contributions as well as a six-dimensionalquark condensate contribution. We construct several single and multi-resonancemodels that take known hadron masses as inputs. We investigate which resonancescouple to both currents and so exhibit meson-hybrid mixing. Compared to singleresonance models that include only the ground state, we find that models thatalso include excited states lead to significantly improved agreement betweenQCD and experiment. In the charmonium sector, we find that meson-hybrid mixingis consistent with a two-resonance model consisting of the $J/\psi$ and a4.3~GeV resonance. In the bottomonium sector, we find evidence for meson-hybridmixing in the $\Upsilon(1S)$, $\Upsilon(2S)$, $\Upsilon(3S)$, and$\Upsilon(4S)$.

A QCD Sum-Rules Analysis of Vector ($1^{--}$) Heavy Quarkonium Meson-Hybrid Mixing