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Fig. 4.

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Γ vs. λEdd for a compilation of local or high-λEdd AGN and high-redshift luminous QSOs. Red stars are the HYPERION QSOs presented in this work. Green four-pointed stars are other z > 6 QSOs detected with ≳30 net counts from the X-ray spectral analysis performed by Vito et al. (2019) and not included in the HYPERION sample. Quasars at Cosmic Noon (z = 2 − 4) are reported as purple triangles (the WISSH QSOs from Zappacosta et al. 2020), empty cyan circles (Shemmer et al. 2006a, 2008), and pink diamonds (Nardini et al. 2019; Trefoloni et al. 2023). Local high-λEdd QSOs (Laurenti et al. 2022) and local AGN including Narrow Line Seyfert 1 (NLSy1s) galaxies (Liu et al. 2021) are shown as blue squares and yellow circles, respectively. Reported are also the most recent relations from a linear fit to the local AGN (i.e., Trakhtenbrot et al. 2017; Liu et al. 2021). The uncertainties on λEdd from QSOs with MBH estimated using a single-epoch virial mass estimator are dominated by systematic uncertainties and can be as high as 0.5 dex. The statistical uncertainty on λEdd for the local AGN (Liu et al. 2021) whose masses are estimated via reverberation mapping is 0.1 dex and 0.2 dex for the sub-Eddington and super-Eddington sources, respectively.

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