Examining the local Universe isotropy with galaxy cluster velocity dispersion scaling relations

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Volume 691 (November 2024)

A&A, 691 (2024) A355

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Table 1.

Best-fit parameters for the three scaling relations for the full sample.

Relation	N	C_Y	C_X	γ	Method	A	B	σ_intr (dex)
σ_v − T	160	750 km s⁻¹	5 keV	−	Y\|X	$1 . 016_{- 0.014}^{+ 0.014}$ $1.016^{+0.014}_{-0.014}$	$0 . 394_{- 0.026}^{+ 0.025}$ $0.394^{+0.025}_{-0.026}$	$0 . 068_{- 0.005}^{+ 0.005}$ $0.068^{+0.005}_{-0.005}$
L_X − σ_v	195	10⁴⁴ erg s⁻¹	750 km s⁻¹	−1	X\|Y	$1 . 515_{- 0.122}^{+ 0.134}$ $1.515^{+0.134}_{-0.122}$	$5 . 988_{- 0.394}^{+ 0.452}$ $5.988^{+0.452}_{-0.394}$	$0 . 080_{- 0.005}^{+ 0.005}$ $0.080^{+0.005}_{-0.005}$
Y_SZ − σ_v	284	30 kpc²	800 km s⁻¹	+1	X\|Y	$1 . 490_{- 0.106}^{+ 0.112}$ $1.490^{+0.112}_{-0.106}$	$6 . 419_{- 0.384}^{+ 0.423}$ $6.419^{+0.423}_{-0.384}$	$0 . 073_{- 0.004}^{+ 0.004}$ $0.073^{+0.004}_{-0.004}$

Notes. The table contains number of matching clusters after outliers removal (N), pivot points C_Y and C_X, redshift evolution power γ of the relation, best-fit normalisation (A), best-fit slope (B) and the intrinsic scatter (σ_intr). For the L_X − σ_v and Y_SZ − σ_v relations, results are shown using the X|Y method. The intrinsic scatter mentioned here is measured in the direction in which the scatter is minimised.

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