CANUCS: Constraining the MACS J0416.1-2403 strong lensing model with JWST NIRISS, NIRSpec, and NIRCam

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Volume 696 (April 2025)

A&A, 696 (2025) A15

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Table 4.

Input Lenstool parameter values and prior ranges of the four cluster halos, four gas halos, scaling relations, and two galaxy-scale halos (galaxy 8971 and the foreground galaxy), which are modelled separately.

	x [″]	y [″]	e	θ[°]	r_core [″]	σ_lt[km s⁻¹]	r_cut [″]
1^st Cluster Halo	−15 ÷ 15	−15 ÷ 15	0.2 ÷ 0.9	100 ÷ 180	0 ÷ 20	350 ÷ 1000	2000.0
2^nd Cluster Halo	15 ÷ 30	−45 ÷ −30	0.2 ÷ 0.9	90 ÷ 170	0 ÷ 25	350 ÷ 1200	2000.0
3^rd Cluster Halo	−39^* ÷ −25	2^* ÷ 16^*	0	0	0 ÷ 35	50 ÷ 750	2000.0
4^th Cluster Halo	−10 ÷ 50	−75 ÷ −15	0.2 ÷ 0.9	0 ÷ 180	0 ÷ 20	100 ÷ 1000	2000.0

1^st Gas Halo	−18.1	−12.1	0.12	−156.8	433	149.2	149.8
2^nd Gas Halo	30.8	−48.7	0.42	−71.5	249	34.8	165.8
3^rd Gas Halo	−2.4	−1.3	0.42	−54.7	102	8.3	37.6
4^th Gas Halo	−20.1	14.7	0.40	−49.3	282	51.7	52.3

Foreground. gal.	32.0	−65.6	0	0	0.0001	50 ÷ 350	5 ÷ 100
Gal-8971	13.3	2.6	0 ÷ 60	−90 ÷ 90	0.0001	60 ÷ 200	0 ÷ 50

Scaling relations	N_gal = 212	$m_{F 160 W}^{ref} = 17.02$ $m_{\mathrm{F} 160 \mathrm{~W}}^{\text {ref }}=17.02$	α = 0.30	$σ_{lt}^{r e f} = [248, 28]$ $\sigma_{\mathrm{lt}}^{\mathrm{r e f}}=[248,28]$	β_cut = 0.60	r_cut = 1 ÷ 50	γ = 0.20

Notes. A single number is given where the parameter values are fixed, the ÷ sign represents uniform prior ranges, and square brackets contain the centre and the width of the Gaussian prior for $σ_{lt}^{r e f}$ $\sigma_{\mathrm{lt}}^{\mathrm{r e f}}$ . The terms N_gal and $m_{F 160 W}^{ref}$ $m_{\mathrm{F} 160 \mathrm{~W}}^{\text {ref }}$ indicate the number of sub-halos modelled with the scaling relations and the reference magnitude for which the reference parameters are given, respectively. Positions x and y are given relative to the northern BCG. Apart from the prior range of the third cluster halo (marked with ^*), all values are identical to values used by Be23 (see Table 1 in Be23).

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