Virial quantities of galaxy clusters from extrapolating strong-lensing mass profiles

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Volume 698 (June 2025)

A&A, 698 (2025) A272

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Table 4.

Values of the fit parameters for each proposed scaling law.

Scaling law – Regulars	A	B	χ²
$A M_{H}^{tot} + B$ $AM_{\mathrm{H}}^{\mathrm{tot}}+B$	$0 . 4_{- 0.1}^{+ 0.1}$ $0.4^{+0.1}_{-0.1}$	$0 . 2_{- 0.2}^{+ 0.2}$ $0.2^{+0.2}_{-0.2}$	0.25
$A {(M_{H}^{tot})}^{B}$ $A(M_{\mathrm{H}}^{\mathrm{tot}})^B$	$0 . 6_{- 0.1}^{+ 0.1}$ $0.6^{+0.1}_{-0.1}$	$0 . 8_{- 0.2}^{+ 0.2}$ $0.8^{+0.2}_{-0.2}$	0.20
Ar_S + B	$1 . 2_{- 0.4}^{+ 0.4}$ $1.2^{+0.4}_{-0.4}$	$1 . 1_{- 0.3}^{+ 0.3} \times 10^{3}$ $1.1^{+0.3}_{-0.3} \times 10^3$	0.24

Notes. We present the values for the $M_{H}^{tot} - M_{200 c}$ $M_{\mathrm{H}}^{\mathrm{tot}}{-}M_{200\mathrm{c}}$ scaling law and for the linear r_S − R_200c relation in the “regulars only” galaxy cluster sample. In the rightmost column, we report the reduced χ² values of each fit.

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