Table 3.
Input parameters of the LM-4HALOS reference lens model (top) and optimized output values of the free parameters of the reference lens model (bottom).
Input parameter values and intervals of the LM-4HALOS lens model |
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x [arcsec] | y [arcsec] | e | θ [°] | σLT [km s−1] | rcore [arcsec] | rcut [arcsec] | ||
Cluster-scale halos | 1st Cluster Halo | [−15.0, 15.0] | [−15.0, 15.0] | [0.2, 0.9] | [100.0, 180.0] | [350.0, 1000.0] | [0.0, 20.0] | 2000.0 |
2nd Cluster Halo | [15.0, 30.0] | [−45.0, −30.0] | [0.2, 0.9] | [90.0, 170.0] | [350.0, 1200.0] | [0.0, 25.0] | 2000.0 | |
3rd Cluster Halo | [−55.0, −25.0] | [0.0, 30.0] | 0.0 | 0.0 | [50.0, 750.0] | [0.0, 35.0] | 2000.0 | |
4th Cluster Halo | [−10.0, 50.0] | [−75.0, −15.0] | [0.2, 0.9] | [0.0, 180.0] | [100.0, 1000.0] | [0.0, 20.0] | 2000.0 | |
1st Gas Halo | −18.14 | −12.13 | 0.12 | −156.76 | 433.0 | 149.21 | 149.82 | |
2nd Gas Halo | 30.79 | −48.67 | 0.42 | −71.50 | 249.0 | 34.77 | 165.77 | |
3rd Gas Halo | −2.37 | −1.26 | 0.42 | −54.74 | 101.7 | 8.28 | 37.59 | |
4th Gas Halo | −20.13 | 14.74 | 0.40 | −49.32 | 281.8 | 51.67 | 52.34 | |
Subhalos | Gal − 8971 (Sys-14) | 13.35 | 2.62 | [0.0, 0.6] | [−90.0, 90.0] | [60.0, 200.0] | 0.0001 | [0.0, 50.0] |
Foreground gal. | 31.96 | −65.55 | 0.0 | 0.0 | [50.0, 350.0] | 0.0001 | [5.0, 100.0] | |
Scaling relations | Ngal = 212 |
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α = 0.30 |
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βcut = 0.60 |
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γ = 0.20 | |
Optimized parameters of the LM-4HALOS lens model |
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x [arcsec] | y [arcsec] | e | θ [°] |
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rcore [arcsec] | rcut [arcsec] | ||
Cluster-scale halos | 1st Cluster Halo |
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2000.0 |
2nd Cluster Halo |
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2000.0 | |
3rd Cluster Halo |
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0.0 | 0.0 |
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2000.0 | |
4th Cluster Halo |
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2000.0 | |
Subhalos | Gal − 8971 (Sys-14) | 13.35 | 2.62 |
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0.0001 |
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Foreground. gal. | 31.96 | −65.55 | 0.0 | 0.0 |
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0.0001 |
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|
Scaling relations | Ngal = 212 |
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α = 0.30 |
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βcut = 0.60 |
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γ = 0.20 |
Notes. Top: singles numbers refer to fixed parameters. For the free parameters, we quote within square brackets the boundaries of the input flat priors. For the parameter, a Gaussian prior is adopted with mean and standard deviation indicated in round brackets. Ngal is the number of cluster member galaxies included in the scaling relations (see Eqs. (8) and (9)). Bottom: we quote the median value and the [16th, 84th] percentiles from the marginalized posterior distribution.
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