Chemo-dynamics of the stellar component of the Sculptor dwarf galaxy - II. Dynamical properties and dark matter halo density

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Volume 699 (July 2025)

A&A, 699 (2025) A347

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Table 1

Inference on the free parameters of the models for the fit to Sculptor dSph data.

Component	Parameter	Prior	Median	1σ	3σ
MP	log J_MP(kpc km s⁻¹)	[0.3, 2.5]	1.63	[1.27, 1.85]	[0.88, 2.21]
	h_{z, MP}	[0, 1.5]	0.56	[0.31, 0.84]	[0.03, 1.41]
	g_{z, MP}	[0, 1.5]	1.07	[0.95, 1.17]	[0.79, 1.34]
	Γ_MP	[0, 3]	0.81	[0.49, 1.04]	[0.01, 1.42]
	B_MP	[3, 30]	13.10	[8.09, 22.51]	[5.77, 29.79]
	$M_{MP} (d e x)$ $\mathcal{M}_{\text {MP}}(\mathrm{dex})$	[−2.7, −2.1]	−2.000	[−2.016, −1.976]	[−2.067, −1.943]
	σ_{M, MP}(dex)	[0.15, 0.45]	0.309	[0.297, 0.320]	[0.279, 0.344]
	f_MP	[0.5, 0.75]	0.66	[0.63, 0.69]	[0.56, 0.74]

MR	log J_MR(kpc km s⁻¹)	[0.3, 2.5]	1.21	[0.98, 1.34]	[0.71, 1.49]
	h_{z, MR}	[0, 1.5]	0.99	[0.51, 1.35]	[0.01, 1.49]
	g_{z, MR}	[0, 1.5]	0.98	[0.89, 1.05]	[0.75, 1.19]
	Γ_MR	[0, 3]	0.24	[0.07, 0.49]	[0.00, 0.95]
	B_MR	[3, 30]	21.6	[13.9, 27.8]	[8.9, 29.9]
	$M_{MR}$ $\mathcal{M}_{\text {MR}}$ (dex)	[−1.65, −1.3]	−1.415	[−1.443, −1.390]	[−1.500, −1.344]
	σ_{M, MR}(dex)	[0.15, 0.45]	0.253	[0.237, 0.270]	[0.211, 0.308]
	f_MR	[0.24, 0.5]	0.32	[0.29, 0.35]	[0.24, 0.41]

pop-3	$V_{C} (k m s^{- 1})$ $\mathcal{V}_{\mathrm{C}}\left(\mathrm{km} \mathrm{s}^{-1}\right)$	[−30, 30]	13.6	[11.6, 15.7]	[5.6, 20.2]
	$σ_{V, C} (k m s^{- 1})$ $\sigma_{\mathcal{V}, \mathrm{C}}\left(\mathrm{km} \mathrm{s}^{-1}\right)$	[0, 20]	6.9	[5.5, 9.2]	[3.8, 15.7]
	$M_{C} (d e x)$ $\mathcal{M}_{\mathrm{C}}(\mathrm{dex})$	[−4.5, −1.3]	−2.81	[−3.04, −2.56]	[−3.39, −2.16]
	σ_{M, C}(dex)	[0.15, 0.90]	0.53	[0.39, 0.67]	[0.20, 0.90]
	f_C	-	0.016	[0.011, 0.022]	[0.006, 0.042]

DM	log M_DM(M_⊙)	[7, 11]	9.0	[8.7, 9.4]	[8.4, 10.0]
	log r_s(kpc)	[−3, 1]	−0.10	[−0.21, 0.07]	[−0.35, 0.50]
	α	[0, 7]	3.7	[2.1, 5.8]	[0.9, 6.9]
	η	[2, 7]	3.2	[2.4, 3.9]	[2.0, 5.0]
	γ	[0, 1.9]	0.39	[0.13, 0.62]	[0.00, 0.95]

Notes. The table is divided into four parts. The first three parts show the parameters of the MP, MR, and the third stellar population, while the forth part shows the inference on the parameters of the DM component. Col. 1 indicates the components the parameters are referred to; Col. 2 lists the parameters, these are described in Sect. 3. Col. 3 shows the range of uniform priors we used in the EMCEE runs; Cols. 4, 5, and 6 list the median values, 1σ and 3σ confidence intervals. Details on the MCMC procedure and on how the 1σ and 3σ confidence intervals are computed are given in Appendix A.

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