Table 2

Parameter constraints on the X-ray scaling relations.

Model Aη Bη δη γη ση Aχ Bχ δχ γχ σχ ρWL,χ ρWL,η ρχ,η Nχ,η
WL Mass Calibration 313
WL Mass Calibration (R > 0.2 h−1Mpc) 313
The LXM500cz Relation + WL Mass Calibration 0 313 121
The LbM500cz Relation + WL Mass Calibration 1 59 ± 0 14 0 313 121
The TXM500cz Relation + WL Mass Calibration 0 65 ± 0 11 266 47 17
The MgM500cz Relation + WL Mass Calibration 1.08 ± 0.13 0 313 121
The YX−M500cz Relation + WL Mass Calibration 266 47 17

Notes. The first (second) row contains the result of the weak-lensing mass calibration, which is to simultaneously model the count rate η and the shear profile g+ in a radial range of R > 0.5h−1Mpc (R > 0.2h−1Mpc). The following rows present the joint modeling of the follow-up X-ray scaling relation and the weak-lensing mass calibration. The first column records the type of modeling. The second to sixth columns contain the best-fit parameters describing the ηM500z relation. The seventh to eleventh show the parameter constraints of the target χM500z relation. The twelfth to fourteenth columns record the correlation coefficient in the intrinsic scatter among the underlying mass proxies. In each modeling, the number of clusters used with the observable set of {η, g+} ({χ, η, g+}{χ, η}) is shown in the fifteenth, sixteenth, and seventeenth columns.

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