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Table 1.

Satellite slopes (α values) for the different LX thresholds and modeling assumptions in our simulation framework.

α values (z = 0)
log LX limit [erg s−1] 41 42 43 44
Model 1; ERDF 1 0.92 ± 0.01 0.92 ± 0.02 0.91 ± 0.05 0.94 ± 0.19
Model 1; ERDF 2 0.83 ± 0.02 0.82 ± 0.05 0.82 ± 0.10 0.88 ± 0.35
Model 2; ERDF 1 0.89 ± 0.02 0.87 ± 0.02 0.81 ± 0.05 0.80 ± 0.16
Model 2; ERDF 2 0.79 ± 0.02 0.77 ± 0.03 0.77 ± 0.08 0.87 ± 0.17
Model 1; ERDF 1; κ(λEdd) 0.90 ± 0.01 0.90 ± 0.02 0.87 ± 0.05 1.00 ± 0.27
Model 2; ERDF 1; κ(λEdd) 0.87 ± 0.01 0.86 ± 0.02 0.81 ± 0.04 0.85 ± 0.16

Notes. In addition to the two MBH − MVir models (Model 1 and Model 2), we tested two different Eddington ratio distribution functions; one universal distribution (ERDF 1; Ananna et al. 2022) and one whose normalization is mass-dependent (ERDF 2). Lastly, while a constant X-ray bolometric correction was assumed by default, we also calculated α for each model assuming an Eddington-ratio-dependent BC (κ(λEdd); Vasudevan & Fabian 2007).

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