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Table 1

Free parameters of the parametric models for the two dust density distribution models (ED and ARM4) and for the GMF model (LSA).

Models Parameters Input values Exploredranges Case A Case B Case C
ED ρ0 (kpc) 5.0 ]0, 100] 5.0048 ± 10−4 100.000000 ± 10−6 – – –
z0 (kpc) 0.75 ]0, 10] 0.75135 ± 10−5 1.83333 ± 2 10−5 – – –
ARM4 p (°) 24 ]0, 45] – – – – – – 24.0075 ± 0.0003
ϕ00 (°) − 76.868 [−90, 360] – – – – – – − 76.934 ± 0.004
ρc (kpc) 0.7 ]0, 20] – – – – – – 0.721 ± 0.002
σρ (kpc) 8.0 ]1, 45] – – – – – – 7.994 ± 0.001
σz (kpc) 0.7 ]0, 8] – – – – – – 0.701330 ± 1.5 10−5
ϕ0 (°) 15 ]0, 45] – – – – – – 15.0175 ± 0.0002
Ai=2,3,4 [1.0, 1.0 1.0] [10−3, 103] – – – – – – [1.0020, 1.0000, 0.9990] ± 10−4
LSA ψ0 (°) 27.0 ]0, 55] 26.98 ± 0.01 25.491 ± 0.009 26.980 ± 0.009
ψ1 (°) 0.9 ] − 180, 360] 0.82 ± 0.03 1.60 ± 0.04 0.84 ± 0.04
χ0 (°) 25.0 ] − 180, 180] 24.9 ± 0.1 27.1 ± 0.2 25.1 ± 0.1
z0 (kpc) 1.0 ]0, 20] 1.001 ± 0.006 1.24 ± 0.01 1.007 ± 0.007

Notes. Column three gives the input values to create the S1 and S2 realistic simulations, Column four gives the ranges that are explored during the MCMC analysis. Column five to seven give the best-fit parameter values and the corresponding 1σ MCMC uncertainties obtained for the cases A, B, and C, described in Sect. 5.

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