Median mass–connectivity relation measured in Q1 at 0.2 < z < 0.7 (in black) compared with results obtained, from the Horizon-AGN simulation (in pink; Darragh Ford et al. 2019) and the IllustrisTNG (in red; Gouin et al. 2021), and with observational results, from CFHTLS (Sarron et al. 2019) and COSMOS (Darragh Ford et al. 2019). The sigma values in the legend refer to the persistence threshold applied with the DisPerSE algorithm. The Pearson correlation between cluster connectivity and its mass is given at the bottom of the panel, with the correlation coefficient (r) and the p-value.