Table 3
Best-fit parameters for the global and halo component of the GMF model (masks 1, 2, 3, and 4), based on the analysis of the Stokes Q and U parameters.
| Mask | Model | Confidence regions | Min(χ2) for best fit | Min(χ2)/d.o.f. | |
|
|
|||||
| 1 | LSA |  ,
>5.8, 32.4 ± 1.1 |
10 668.6 | 1.9 | |
| 1 | CCR | 8.5 ± 0.2, <5.1,
<8.6,  |
13 828.8 | 2.5 | |
| 1 | ASS |  ,
 ,
 |
10 691.1 | 1.9 | |
| 1 | BSS+ |  ,
 ,
<2.0 |
12 056.9 | 2.2 | |
| 1 | BSS− |  ,
25.3 ± 0.4, <2.0 |
11 964.6 | 2.2 | |
| 1 | ASS(r) | >38.0 ,  ,
21.7 ± 0.7 |
10 703.0 | 1.9 | |
| 1 | BSS+(r) | >50.8, 24.4 ± 0.6, <2.0 | 12 103.4 | 2.2 | |
| 1 | BSS−(r) | >42.4, 25.1 ± 0.4, <2.0 | 11 984.8 | 2.2 | |
| 1 | BT | >52.5, <1.0, >1.1 | 15 048.3 | 2.8 | |
| 2 | LSA | 23.7 ± 0.5, >8.1,
 |
5456.3 | 1.5 | |
| 2 | CCR | 2.5 ± 0.2, <5.1, <8.6, 13.1 ± 0.9 | 7053.3 | 2.0 | |
| 2 | ASS |  ,
 ,
22.4 ± 0.9 |
5504.5 | 1.6 | |
| 2 | BSS+ |  ,
 ,
<2.0 |
6717.1 | 1.9 | |
| 2 | BSS− | ,
 ,
<2.0 |
6793.8 | 1.9 | |
| 2 | ASS(r) | >42.5,23.1 ± 0.5,
 |
5523.6 | 1.6 | |
| 2 | BSS+(r) | >47.2,  ,
<2.0 |
6751.0 | 2.2 | |
| 2 | BSS−(r) | >43.2,  ,
<2.0 |
6820.0 | 1.9 | |
| 2 | BT | >42.0, <1.0, 0.48 ± 0.2 | 7641.4 | 2.2 | |
| 3 | LSA | 25.5 ± 0.4, <−4.9, 25.9 ± 0.8 | 8714.8 | 1.9 | |
| 3 | CCR | 8.5 ± 0.2, <5.0,
<8.6,  |
11 735.6 | 2.6 | |
| 3 | ASS |  ,
25.4.0 ± 0.4,  |
8729.8 | 1.9 | |
| 3 | BSS+ | ,
24.6 ± 0.4, <2.0 |
9741.2 | 2.2 | |
| 3 | BSS− | ,
 ,
<2.0 |
9623.0 | 2.1 | |
| 3 | ASS(r) | 2.3 ± 0.6,  ,
 |
8533.2 | 1.9 | |
| 3 | BSS+(r) |  ,
 ,
<2.0 |
9725.1 | 2.2 | |
| 3 | BSS−(r) | <2.2,  ,
<2.0 |
9478.4 | 2.1 | |
| 3 | BT | >33.8,  ,
>4.7 |
12 099.3 | 2.7 | |
| 4 | LSA |  ,
>−6.7,  |
3339.0 | 1.4 | |
| 4 | CCR | 3.0 ± 0.2, 4.0 ± 0.4, <8.7,
 |
4782.9 | 2.1 | |
| 4 | ASS |  ,
 ,
 |
3338.6 | 1.4 | |
| 4 | BSS+ |  ,
23.4 ± 0.7, <2.0 |
4164.6 | 1.8 | |
| 4 | BSS− |  ,
 ,
<2.0 |
4163.0 | 1.8 | |
| 4 | ASS(r) | <2.5, 24.3 ± 0.6,
 |
3195.7 | 1.3 | |
| 4 | BSS+(r) | <2.0, 24.0 ± 0.6, <2.0 | 4037.1 | 1.7 | |
| 4 | BSS−(r) | <2.0 , 23.8 ± 0.6, <0.2 | 4017.1 | 1.7 | |
| 4 | BT | >33.8, 2.5 ± 0.2, >3.6 | 4824.9 | 2.1 | |
Notes. For each mask (see Table 2) and each GMF model (see Sect. 2) are shown: (a) confidence intervals for the parameters listed below derived from the cumulative probability distribution function, obtained after marginalizing over the rest of parameters; (b) minimum χ2 ≡ − 2lnℒQU for the “best-fit model”, defined as the one with the smaller χ2; and (c) minimum χ2 divided by the number of degrees of freedom. Confidence intervals encompass the 68% of the probability, except in those cases in which only upper (lower) limits can be given, in which we provide the 95% limit. For a quick reference, the parameters which define each GMF model are: LSA (ψ0,ψ1,χ0); CCR model (Dr,w,B0,χ0); ASS (B0,p,χ0); BSS± (B0,p,χ0); ASS(r) (r1,p,χ0); BSS±(r) (r1,p,χ0); BT (r1,σ1,σ2). Our reference computation corresponds to the one labelled as mask 4.
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