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Table 1.

Observable properties used in this work and described in Sect. 2.1.

Quantity Notation Comments
Stellar mass M
Temperature T Weighted by X-ray emissivity
Richness n Satellites with log10(M/M) > 10.65,
and background subtraction as in Andreon et al. (2016)
X-ray luminosity LX In [0.5, 2] keV band
Gas mass Mg
Thermal SZ parameter Y See Eqs. (2) and (3)
NFW profile fit parameters MNFW, cNFW In 3D: 100 log-spaced bins with 60 ckpc < r < r200c,
in 2D: reduced shear fit as in Eq. (4), and uncertainty as in Eq. (6),
on 12 log-spaced bins with 300 kpc < R < 3000 kpc, a cylinder depth of 20 cMpc,
and a source distribution in redshift as in Euclid Collaboration (2024)

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