The powerful lens galaxy cluster PLCK G287.0+32.9 (θE ∼ 43″) - Redshift catalog and new lens model using MUSE observations

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Volume 686 (June 2024)

A&A, 686 (2024) A4

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Table 4.

Input and optimized parameter values and assumed priors for the lens model.

		Input parameter and assumed priors for the lens model
		x [″]	y [″]	e	θ [deg]	σ[km s⁻¹]	r_core [″]	r_cut [″]
Cluster-scale	1st Cluster halo	−30.0 ÷ 30.0	−30.0 ÷ 30.0	0.0 ÷ 0.9	0.0 ÷ 180.0	400 ÷ 2000	0.5 ÷ 120.0	2000.0
	2nd Cluster halo	−60.0 ÷ 80.0	−60.0 ÷ 50.0	0.0 ÷ 0.9	0.0 ÷ 180.0	200 ÷ 2000	0.5 ÷ 120.0	2000.0
	3rd Cluster halo	−60.0 ÷ 50.0	−60.0 ÷ 50.0	0.0 ÷ 0.9	0.0 ÷ 180.0	200 ÷ 2000	0.5 ÷ 120.0	2000.0

Subhalos	BCG-273	0.0	0.0	0.0 ÷ 0.9	0.0 ÷ 180.0	150 ÷ 450	0.001	0.0 ÷ 120
	BCG-867	−16.7	7.0	0.0 ÷ 0.9	0.0 ÷ 180.0	150 ÷ 450	0.001	0.0 ÷ 120

	Scaling relations	N_gal = 151	$m_{F 160 W}^{(ref)} = 16.563$ ${m^{\mathrm{(ref)}}_{F160W}} = 16.563$	α = 0.35	$σ_{LT}^{(ref)} = 50 \div 400$ ${\sigma^{\mathrm{(ref)}}_{\mathrm{LT}}} = 50 \div 400$	β_cut = 0.5	$r_{cut}^{(ref)} = 1.0 \div 50.0$ ${r^{\mathrm{(ref)}}_{\mathrm{cut}}} = 1.0 \div 50.0$	γ = 0.2

		Optimized output parameters for the lens model

		x [″]	y [″]	e	θ [deg]	σ[km s⁻¹]	r_core [″]	r_cut [″]
Cluster-scale	1st Cluster halo	${0.0}_{- 0.4}^{+ 0.5}$ ${0.0}_{-0.4}^{+0.5}$	$5.1_{- 0.3}^{+ 0.5}$ ${5.1}~_{-0.3}^{+0.5}$	$0.546_{- 0.014}^{+ 0.009}$ ${0.546}~_{-0.014}^{+0.009}$	${61.7}_{- 0.6}^{+ 1.3}$ ${61.7}_{-0.6}^{+1.3}$	$1330_{- 20}^{+ 20}$ ${1330}_{-20}^{+20}$	${29.1}_{- 0.7}^{+ 0.6}$ ${29.1}_{-0.7}^{+0.6}$	2000.0
	2nd Cluster halo	${61.0}_{- 2.0}^{+ 4.0}$ ${61.0}_{-2.0}^{+4.0}$	${- 20.8}_{- 0.8}^{+ 1.4}$ ${-20.8}_{-0.8}^{+1.4}$	$0.71_{- 0.08}^{+ 0.09}$ ${0.71}~_{-0.08}^{+0.09}$	$24.0_{- 2.0}^{+ 2.0}$ ${24.0}~_{-2.0}^{+2.0}$	$580_{- 30}^{+ 40}$ ${580}_{-30}^{+40}$	${15.0}_{- 2.0}^{+ 3.0}$ ${15.0}_{-2.0}^{+3.0}$	2000.0
	3rd Cluster halo	${- 51.0}_{- 1.0}^{+ 1.0}$ ${-51.0}_{-1.0}^{+1.0}$	${- 58.9}_{- 0.8}^{+ 1.7}$ ${-58.9}_{-0.8}^{+1.7}$	$0.7_{- 0.1}^{+ 0.1}$ ${0.7}~_{-0.1}^{+0.1}$	$114.0_{- 7.0}^{+ 8.0}$ ${114.0}~_{-7.0}^{+8.0}$	$480_{- 40}^{+ 60}$ ${480}_{-40}^{+60}$	${15.0}_{- 3.0}^{+ 3.0}$ ${15.0}_{-3.0}^{+3.0}$	2000.0

Subhalos	BCG-273	0	0	${0.73}_{- 0.03}^{+ 0.03}$ ${0.73}_{-0.03}^{+0.03}$	${119.0}_{- 5.0}^{+ 12.0}$ ${119.0}_{-5.0}^{+12.0}$	$334_{- 8}^{+ 11}$ ${334}_{-8}^{+11}$	0.001	${90.0}_{- 30.0}^{+ 20.0}$ ${90.0}_{-30.0}^{+20.0}$
	BCG-867	−16.7	7.0	${0.79}_{- 0.04}^{+ 0.03}$ ${0.79}_{-0.04}^{+0.03}$	${171.0}_{- 2.0}^{+ 1.0}$ ${171.0}_{-2.0}^{+1.0}$	$435_{- 14}^{+ 6}$ ${435}_{-14}^{+6}$	0.001	${100.0}_{- 20.0}^{+ 10.0}$ ${100.0}_{-20.0}^{+10.0}$

	Scaling relations	N_gal = 151	$m_{F 160 W}^{(ref)} = 16.563$ ${m^{\mathrm{(ref)}}_{ F160W}} = 16.563$	α = 0.35	$σ_{LT}^{(ref)} = {310.0}_{- 10.0}^{+ 10.0}$ ${\sigma^{\mathrm{(ref)}}_{\mathrm{LT}}} = {310.0}_{-10.0}^{+10.0}$	β_cut = 0.5	$r_{cut}^{(ref)} = {16.0}_{- 2.0}^{+ 3.0}$ ${r^{\mathrm{(ref)}}_{\mathrm{cut}}} = {16.0}_{-2.0}^{+3.0}$	γ = 0.2

Notes. Input parameter values and assumed uniform priors (top panel) and median optimized parameter values with their 16th and 84th percentiles from the marginalized posterior distribution (bottom panel). Boundaries of uniform priors are separated by the ÷ symbol; N_gal is the number of cluster member galaxies optimized using the scaling relations (see Eqs. (3)–(5)); $m_{F 160 W}^{(ref)}$ $m^{\mathrm{(ref)}}_{F160W}$ is the magnitude in band F160W of BCG-273 and it has been used as reference for the scaling relations. We use the coordinates of the center of BCG-273 (ICRS 177.7090129, −28.0821343) as the reference coordinates for the strong-lensing model. Note: for lenstool to compute the relative positions, the x and y coordinates are expressed in arcseconds with the x-axis directed toward the west (decreasing direction of RA) and the y-axis toward the north (increasing direction of Dec).

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