eFEDS. Masses of galaxy clusters and groups

As a result, the count-rate-inferred and lensing-calibrated cluster mass is obtained from the joint modeling of the scaling relations, as the ensemble mass spanning a range of 10^13^h^-1^M_{sun}_ <= M_500_ <= 10^15^h^-1^M_{sun}_ with a median of ~=10^14^h^-1^M_{sun}_ for the eFEDS sample. With the mass calibration, we further model the X-ray observable-to-mass-and-redshift relations, including the rest-frame soft-band and bolometric luminosity (L_X_ and L_b_), the emission-weighted temperature T_X_, the mass of intra-cluster medium M_g_, and the mass proxy Y_X_, which is the product of T_X_ and M_g_.

Except for L_X_ with a steeper dependence on the cluster mass at a statistically significant level, we find that the other X-ray scaling relations all show a mass trend that is statistically consistent with the self-similar prediction at a level of <=1.7{sigma}. Meanwhile, all these scaling relations show no significant deviation from the self-similarity in their redshift scaling. Moreover, no significant redshift-dependent mass trend is present.

This work demonstrates the synergy between the eROSITA and HSC surveys in preparation for the forthcoming first-year eROSITA cluster cosmology.