PITSZI: Probing intra-cluster medium turbulence with Sunyaev–Zel’dovich imaging - Application to the triple merging cluster MACS J0717.5+3745

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Volume 694 (February 2025)

A&A, 694 (2025) A182

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Table 4.

Non-thermal ICM physics derived from our reference analysis.

Model	ℳ_3D	σ_v	$\frac{P_{kin}}{P_{kin} + P_{th}}$ $\frac{P_{\mathrm{kin}}}{P_{\mathrm{kin}} + P_{\mathrm{th}}}$	b_{HSE, Δ = 2500} ^( † )	b_{HSE, Δ = 500} ^( † )
	(–)	(km/s)	(–)	(–)	(–)
RM₁	$0 . 82_{- 0.16}^{+ 0.16} (_{- 0.06}^{+ 0.04} stat .)$ $0.82^{+0.16}_{-0.16} \left(^{+0.04}_{-0.06} \ \mathrm{stat}.\right)$	$1618_{- 323}^{+ 334} (_{- 115}^{+ 74} stat .)$ $1618^{+334}_{-323} \left(^{+74}_{-115} \ \mathrm{stat}.\right)$	$0 . 27_{- 0.08}^{+ 0.08} (_{- 0.03}^{+ 0.02} stat .)$ $0.27^{+0.08}_{-0.08} \left(^{+0.02}_{-0.03} \ \mathrm{stat}.\right)$	$0 . 33_{- 0.06}^{+ 0.07} (_{- 0.010}^{+ 0.007} stat .)$ $0.33^{+0.07}_{-0.06} \left(^{+0.007}_{-0.010} \ \mathrm{stat}.\right)$	$0 . 41_{- 0.05}^{+ 0.05} (_{- 0.008}^{+ 0.005} stat .)$ $0.41^{+0.05}_{-0.05} \left(^{+0.005}_{-0.008} \ \mathrm{stat}.\right)$
RM₂	$0 . 62_{- 0.11}^{+ 0.11} (_{- 0.02}^{+ 0.02} stat .)$ $0.62^{+0.11}_{-0.11} \left(^{+0.02}_{-0.02} \ \mathrm{stat}.\right)$	$1221_{- 230}^{+ 220} (_{- 45}^{+ 41} stat .)$ $1221^{+220}_{-230} \left(^{+41}_{-45} \ \mathrm{stat}.\right)$	$0 . 17_{0.05}^{0.05} (_{- 0.01}^{+ 0.01} stat .)$ $0.17^{0.05}_{0.05} \left(^{+0.01}_{-0.01} \ \mathrm{stat}.\right)$	$0 . 30_{- 0.06}^{+ 0.06} (_{- 0.004}^{+ 0.004} stat .)$ $0.30^{+0.06}_{-0.06} \left(^{+0.004}_{-0.004} \ \mathrm{stat}.\right)$	$0 . 38_{- 0.05}^{+ 0.05} (_{- 0.003}^{+ 0.003} stat .)$ $0.38^{+0.05}_{-0.05} \left(^{+0.003}_{-0.003} \ \mathrm{stat}.\right)$
RM₃	$0 . 59_{- 0.19}^{+ 0.20} (_{- 0.03}^{+ 0.02} stat .)$ $0.59^{+0.20}_{-0.19} \left(^{+0.02}_{-0.03} \ \mathrm{stat}.\right)$	$1176_{- 385}^{+ 404} (_{- 52}^{+ 43} stat .)$ $1176^{+404}_{-385} \left(^{+43}_{-52} \ \mathrm{stat}.\right)$	$0 . 16_{- 0.08}^{+ 0.10} (_{- 0.01}^{+ 0.01} stat .)$ $0.16^{+0.10}_{-0.08} \left(^{+0.01}_{-0.01} \ \mathrm{stat}.\right)$	$0 . 29_{- 0.06}^{+ 0.07} (_{- 0.005}^{+ 0.004} stat .)$ $0.29^{+0.07}_{-0.06} \left(^{+0.004}_{-0.005} \ \mathrm{stat}.\right)$	$0 . 38_{- 0.05}^{+ 0.05} (_{- 0.004}^{+ 0.003} stat .)$ $0.38^{+0.05}_{-0.05} \left(^{+0.003}_{-0.004} \ \mathrm{stat}.\right)$
RM₄	$0 . 64_{- 0.21}^{+ 0.21} (_{- 0.05}^{+ 0.04} stat .)$ $0.64^{+0.21}_{-0.21} \left(^{+0.04}_{-0.05} \ \mathrm{stat}.\right)$	$1261_{- 413}^{+ 421} (_{- 90}^{+ 87} stat .)$ $1261^{+421}_{-413} \left(^{+87}_{-90} \ \mathrm{stat}.\right)$	$0 . 18_{- 0.09}^{+ 0.10} (_{- 0.02}^{+ 0.02} stat .)$ $0.18^{+0.10}_{-0.09} \left(^{+0.02}_{-0.02} \ \mathrm{stat}.\right)$	$0 . 30_{- 0.06}^{+ 0.06} (_{- 0.009}^{+ 0.008} stat .)$ $0.30^{+0.06}_{-0.06} \left(^{+0.008}_{-0.009} \ \mathrm{stat}.\right)$	$0 . 39_{- 0.05}^{+ 0.05} (_{- 0.007}^{+ 0.006} stat .)$ $0.39^{+0.05}_{-0.05} \left(^{+0.006}_{-0.007} \ \mathrm{stat}.\right)$
RM₅	$0 . 28_{- 0.14}^{+ 0.17} (_{- 0.11}^{+ 0.10} stat .)$ $0.28^{+0.17}_{-0.14} \left(^{+0.10}_{-0.11} \ \mathrm{stat}.\right)$	$545_{- 273}^{+ 332} (_{- 226}^{+ 205} stat .)$ $545^{+332}_{-273} \left(^{+205}_{-226} \ \mathrm{stat}.\right)$	$0 . 04_{0.03}^{+ 0.06} (_{- 0.03}^{+ 0.04} stat .)$ $0.04^{+0.06}_{0.03} \left(^{+0.04}_{-0.03} \ \mathrm{stat}.\right)$	$0 . 24_{- 0.06}^{+ 0.07} (_{- 0.023}^{+ 0.021} stat .)$ $0.24^{+0.07}_{-0.06} \left(^{+0.021}_{-0.023} \ \mathrm{stat}.\right)$	$0 . 34_{- 0.05}^{+ 0.06} (_{- 0.021}^{+ 0.017} stat .)$ $0.34^{+0.06}_{-0.05} \left(^{+0.017}_{-0.021} \ \mathrm{stat}.\right)$

Notes. The reported values correspond to the median of the distribution, and the uncertainties account for both the statistical uncertainties in the power spectrum measurement and the scatter in the relation derived by Zhuravleva et al. (2023). The uncertainties obtained when ignoring the scatter are given in parenthesis. ^( † ) These results were obtained with the scaling of Equation (26) (sum) but no significant change is observed when using Equation (27) (product) instead.

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