From kinematics the energy of the Z bosons in ZZ process in the centre of mass frame is sqrt(s)/2. But because of the different masses of the Z and the Higgs bosons, the energy of the Z boson should be (s-mZ^2-mH^2)/(2*sqrt(s)). We can see that from the plot of the energy of the Z boson below. The blue line was obtained using ZZ+ZH samples whereas the dashed black is from ZH only. Cuts on the energy of the Z may be worth doing to remove also the ZZ background.
The next plot shows the recoil mass. The different cuts are in the plot (problems using math symbols here).
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