Resolving high-z galaxy cluster properties through joint X-ray and millimeter analysis: Case study of SPT-CLJ0615-5746

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Volume 688 (August 2024)

A&A, 688 (2024) A76

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Table 2.

Best-fit parameters along with the 16th and 84th percentiles of the posterior distributions for the Nagai et al. (2007) and η_T parameters.

	P₀	β	γ	η_T	χ²/d.o.f.
Total	$7 . 36_{- 1.70}^{+ 6.41}$ $7.36^{+6.41}_{-1.70}$	$5 . 86_{- 0.35}^{+ 0.90}$ $5.86^{+0.90}_{-0.35}$	$0 . 29_{- 0.21}^{+ 0.08}$ $0.29^{+0.08}_{-0.21}$	$1 . 45_{- 0.18}^{+ 0.17}$ $1.45^{+0.17}_{-0.18}$	41.25/44

Minor	$6 . 33_{- 0.60}^{+ 9.24}$ $6.33^{+9.24}_{-0.60}$	$5 . 73_{- 0.11}^{+ 1.32}$ $5.73^{+1.32}_{-0.11}$	$0 . 39_{- 0.29}^{+ 0.03}$ $0.39^{+0.03}_{-0.29}$	$1 . 25_{- 0.17}^{+ 0.12}$ $1.25^{+0.12}_{-0.17}$	41.43/44

Major	$8 . 99_{- 3.34}^{+ 3.57}$ $8.99^{+3.57}_{-3.34}$	$6 . 01_{- 0.60}^{+ 0.50}$ $6.01^{+0.50}_{-0.60}$	$0 . 18_{- 0.11}^{+ 0.15}$ $0.18^{+0.15}_{-0.11}$	$1 . 61_{- 0.17}^{+ 0.23}$ $1.61^{+0.23}_{-0.17}$	41.43/44

SZ-only	$7 . 44_{- 0.31}^{+ 12.50}$ $7.44^{+12.50}_{-0.31}$	$5 . 91_{- 0.06}^{+ 2.47}$ $5.91^{+2.47}_{-0.06}$	Fixed	−	41.26/44

Notes. The first three lines represent the results of our joint fit for the total and the sector-based analysis. The last line shows the result for the SZ-only fitting in which, as detailed in Sect. 4.2, we fix γ = 0.3081 to its universal value from Arnaud et al. (2010). The last column represents the values of the reduced χ². In the SZ-only fit, we have the same degrees of freedom (d.o.f.) as in the joint fit since we have two fewer data points (the X-ray spectroscopic temperature), but there are also two fewer parameters, as eta is absent and gamma is fixed.

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