The XMM Cluster Survey: An independent demonstration of the fidelity of the eFEDS galaxy cluster data products and implications for future studies

We present the first comparison between properties of clusters of galaxies detected by the eROSITA Final Equatorial-Depth Survey (eFEDS) and the XMM-Newton X-ray telescope. We have compared, in an ensemble fashion, properties from the eFEDS X-ray catalogue (542 candidates) with those from the Ultimate XMM eXtragaLactic (or XXL) survey project (100 clusters). We find the distributions of redshift and $T_{\rm X}$ to be broadly similar between the two surveys, with a larger proportion of clusters above 4 keV in the XXL-100-GC sample. However, the fractional $\Delta T_{\rm X}$ values are significantly larger in eFEDS compared to XXL. We construct a sample of 37 clusters that have eFEDS and XMM data, and we calculate minimum contamination fractions of ${\sim}$18% and ${\sim}$1% in the eFEDS X-ray and optically confirmed samples respectively, in agreement with eFEDS findings. We then make direct comparisons of properties measured by eFEDS and by XMM for individual clusters using tools developed for the XMM Cluster Survey (XCS). We compare 8 clusters that have $T_{\rm X}$ measured by both telescopes, and find that XMM temperatures are (on average) 25% larger than the corresponding eROSITA temperatures. We compare 29 X-ray luminosities ($L_{\rm X}$) measured by eFEDS and XCS and find them to be in excellent agreement. We also construct $L_{\rm X}$ - $T_{\rm X}$ scaling relations based on eFEDS and XCS measurements, which are in tension; the tension is decreased when we measure a third scaling relation with calibrated XCS temperatures.