The XMM Cluster Survey: Cross-Calibration of eROSITA and XMM using Dark Energy Survey Y3 Galaxy Clusters

We present the cross-calibration of the eROSITA and XMM telescopes, using galaxy clusters detected by redMaPPer from the first three years of Dark Energy Survey observations (DESY3RM). We use the X-ray: Generate and Analyse (XGA) Python module to measure eROSITA properties, and validate our methodology using a deep pointed eROSITA CAL-PV observation of A3158, and a sample of 119 clusters from the expanded HIgh FLux Galaxy Cluster Sample (eeHiFLUGCS). Next, we construct a sample of DESY3RM clusters matched to XMM observations analysed by the XMM Cluster Survey (XCS), and to clusters in the first release of the eROSITA All-Sky Survey (eRASS1). This produced a sample of 114 DESY3RM clusters with both XMM and eROSITA detections. Our resulting X-ray temperatures determined from eROSITA were compared to eRASS1 catalogue values, showing consistency between the two analyses. Comparisons between XMM and eROSITA temperatures reveal a systematic offset, with XMM temperatures 28$\pm$7% higher on average. Finally, we fit $L_{\mathrm{X},\mathrm{s}\mathrm{o}\mathrm{f}\mathrm{t}}$-${\lambda }_{\mathrm{R}\mathrm{M}}$ and $T_{\mathrm{X}}$-${\lambda }_{\mathrm{R}\mathrm{M}}$ scaling relations for both eROSITA and XMM using the same cluster sample, finding minimal differences in the $L_{\mathrm{X},\mathrm{s}\mathrm{o}\mathrm{f}\mathrm{t}}$-${\lambda }_{\mathrm{R}\mathrm{M}}$ relation but a clear normalisation offset in the $T_{\mathrm{X}}$-${\lambda }_{\mathrm{R}\mathrm{M}}$ relation, particularly for the highest richness systems. This study will enable future work combining eROSITA and XMM observatories for DESY3RM clusters.