Table 4
Constraints on lens parameters for different models of the mock MACS mass distribution (three dark matter halos, 193 cluster members, three foreground galaxies and eight background galaxies).
| Parameters | Input | MP-full | SP1 | SP | MP-fore | MP-back | MP-constML | SP-constML |
|---|---|---|---|---|---|---|---|---|
θE,fd1  |
1.70 |  |
 |
− |  |
− |  |
− |
rtfd1  |
148.58 |  |
 |
− |  |
− |  |
− |
θEf,d2  |
0.01 |  |
− | − |  |
− |  |
− |
rt,fd2  |
99.71 |  |
− | − |  |
− |  |
− |
xh1  |
− 1.51 |  |
 |
 |
 |
 |
 |
 |
yh1  |
0.51 |  |
 |
 |
 |
 |
 |
 |
 |
0.34 |  |
 |
 |
 |
 |
 |
 |
| θh1 [rad] | 2.500 |  |
 |
 |
 |
 |
 |
 |
θE,h1  |
16.66 |  |
 |
 |
 |
 |
 |
 |
rc,h1  |
7.92 |  |
 |
 |
 |
 |
 |
 |
xh2  |
20.73 |  |
 |
 |
 |
 |
 |
 |
yh2  |
− 38.72 |  |
 |
 |
 |
 |
 |
 |
 |
0.39 |  |
 |
 |
 |
 |
 |
 |
| θh2 [rad] | 2.194 |  |
 |
 |
 |
 |
 |
 |
θE,h2  |
31.26 |  |
 |
 |
 |
 |
 |
 |
rc,h2  |
12.52 |  |
 |
 |
 |
 |
 |
 |
xh3  |
− 33.73 |  |
 |
 |
 |
 |
 |
 |
yh3  |
10.52 |  |
 |
 |
 |
 |
 |
 |
 |
0.90 |  |
 |
 |
 |
 |
 |
 |
| θh3 [rad] | 2.56 |  |
 |
 |
 |
 |
 |
 |
θE,h3  |
5.89 |  |
 |
 |
 |
 |
 |
 |
rc,h3  |
8.95 |  |
 |
 |
 |
 |
 |
 |
θE,mg  |
0.180 |  |
 |
 |
 |
 |
 |
 |
rt,mg  |
0.72 |  |
 |
 |
 |
 |
 |
 |
θE,pg  |
1.54 |  |
 |
 |
 |
 |
 |
 |
rt,pg  |
4.98 |  |
 |
 |
 |
 |
 |
 |
θE,bd  |
0.13 |  |
− | − | − |  |
 |
− |
rt,bd  |
33.50 |  |
− | − | − |  |
 |
− |
rmsbest-fit  |
0.08 | 0.19 | 0.32 | 0.11 | 0.34 | 0.20 | 0.45 | |
 |
174 | 791 | 3021 | 246 | 3153 | 1124 | 3917 |
Notes.The first halo (“h1”) is the one located in the northern part of the cluster, the second halo (“h2 ”) in the southern part, the third (“h3”) is the smaller northern halo. The subscripts “fd” and “bd ” refer, respectively, to the parameters of the foreground and background galaxies. The subscripts “mg ” and “pg” refer to the parameters of the cluster galaxy with median luminosity among the cluster members (F160W magnitude of 21.53) and of the peculiar member we allow to vary out of the scaling relations. The values are the medians of the posterior probability distributions of the lens parameters together with their 1σ uncertainties. The orientation is measured counter clockwise from positive x-axis. The centre of the co-ordinates is the position of the northern BCG (G1).
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