CHEX-MATE: The intracluster medium entropy distribution in the gravity-dominated regime

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Volume 691 (November 2024)

A&A, 691 (2024) A340

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Table 3.

Best-fitting parameters of the functional forms describing HIGHMz entropy profiles.

Global analytical fit
Parameter		Prior		Best fit

log(K₀)		U(−7, 0)		−2.97 ± 0.37
K₁		U(1, 2)		1.23 ± 0.03
α		U(0, 2)		0.87 ± 0.04
σ₀		U(0, 0.5)		0.12 ± 0.01
σ₁		U(0, 0.5)		0.07 ± 0.02
x₀		U(0, 1)		0.44 ± 0.05


Piece-wise power-law fits

x_in	x_out	A	B	σ_int
		U(0, 2)	U(0, 2)	HC(1)

0.10	0.24	1.14 ± 0.18	0.74 ± 0.10	0.22 ± 0.02
0.24	0.45	1.32 ± 0.09	0.85 ± 0.08	0.11 ± 0.01
0.45	0.66	1.33 ± 0.11	0.86 ± 0.17	0.13 ± 0.02
0.66	1.00	1.25 ± 0.06	0.73 ± 0.22	0.15 ± 0.02

Notes. Parameters in the upper table refers to the constant-plus-power-law model (Eqs. (4) and (5)), while those in the lower table to the piece-wise power laws (Eq. (6)). We assumed flat priors for all parameters, except for σ_int, for which we took a Half-Cauchy distribution with β = 1.

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