The impact of environment on size: Galaxies are 50% smaller in the Fornax Cluster compared to the field

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Volume 689 (September 2024)

A&A, 689 (2024) A28

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Table 3.

Best-fit parameters of the radius–stellar mass scaling relations.

Relation	Sample	M_⋆(M_⊙)	β	α	σ_obs	σ_back	σ_mass	σ_int	r
Edge radii	Cluster	10⁵ − 10¹¹	0.40 ± 0.01	−2.88 ± 0.10	0.096	0.057	0.052	0.057	0.93
vs. stellar mass	Group & satellite	10^5.5 − 10¹⁰	0.38 ± 0.02	−2.67 ± 0.12	0.12	0.064	0.066	0.077	0.94
	LV/Nearly isolated	10^5.5 − 10⁹	0.40 ± 0.05	−2.79 ± 0.33	0.14	0.055	0.093	0.089	0.87
	C22/Nearly isolated	10⁷ − 10¹⁰	0.32 ± 0.03	−2.07 ± 0.24	0.12	0.052	0.079	0.073	0.85
$R_{edge} \sim M_{⋆}^{β}$ $R_{\mathrm{edge}} \sim M_{\star}^{\beta}$	Total Sample	10⁵ − 10¹¹	0.42 ± 0.01	−2.94 ± 0.07	0.13	0.057	0.066	0.068	0.94

Effective radii	Cluster	10⁵ − 10¹¹	0.27 ± 0.02	−2.11 ± 0.14	0.15	0.073	0.080	0.10	0.79
vs. stellar mass	Group & satellite	10^5.5 − 10¹⁰	0.27 ± 0.03	−2.15 ± 0.18	0.19	0.074	0.076	0.16	0.78
	LV/Nearly isolated	10^5.5 − 10⁹	0.29 ± 0.07	−2.29 ± 0.48	0.18	0.087	0.061	0.15	0.68
	C22/Nearly isolated	10⁷ − 10¹⁰	0.30 ± 0.045	−2.41 ± 0.38	0.21	0.12	0.062	0.16	0.65
$r_{e} \sim M_{⋆}^{β}$ $r_{\mathrm{e}} \sim M_{\star}^{\beta}$	Total Sample	10⁵ − 10¹¹	0.28 ± 0.01	−2.19 ± 0.10	0.18	0.087	0.074	0.14	0.80

Notes. The estimated dispersion of the scaling relations due to uncertainties in the image background (σ_back) and stellar mass (σ_mass) estimation are also included. We used these values to calculate the intrinsic uncertainty (σ_int) of the scaling relation. The relations are of the form log₁₀R = β log₁₀M_⋆ + α, where R is the radius of interest. The intrinsic dispersion of the relation was computed using $σ_{int} = \sqrt{σ_{obs}^{2} - σ_{back}^{2} - σ_{mass}^{2}}$ $\sigma_{\mathrm{int}} = \sqrt{\sigma_{\mathrm{obs}}^2 - \sigma_{\mathrm{back}}^2 - \sigma_{\mathrm{mass}}^2}$ , and r is the Pearson correlation coefficient. If we additionally account for the typical uncertainty in visual identifications of edge radii (0.04 dex; Chamba et al. 2022), then the intrinsic uncertainty in the R_edge − M_⋆ relation for the total sample drops to ∼0.06 dex.

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