Ratio of the cumulative M_bound HMF to the T08 M_vir HMF at several redshifts indicated in the figure legend. The ratio between the two varies from 7% at low redshift up to 25% at high redshift. The slope of the Flagship cumulative M_bound HMF is shallower than the one of the T08 M_vir HMF at high redshift. The HMFs are shown up to the mass values where they approximately start to be shot-noise dominated.