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Table 4.

LISA detection rates obtained by several other groups and methods.

Reference Type Basis Seeds [M] Binary evolution Detection rate [1/yr]
This work SAM SURFs 103−5 None ∼7−68
Barausse et al. (2020) SAM ePS 300, 105 DF, SH, G, Tri, GW ∼4−322
Dayal et al. (2019) SAM SAM 150, 103−5 None ∼3−6
Sesana et al. (2011) SAM ePS 100, 104 None ∼25
Bonetti et al. (2019) SAM ePS 300, 105 DF, SH, G, Tri, GW ∼12−75
Salcido et al. (2016) HD EAGLE 104−5 GAL ∼2
Katz et al. (2020) HD Illustris 105 DF, SH, G, GW ∼0.5−1

Notes. In Dayal et al. (2019) rates are calculated only for mergers at z >  4. Bonetti et al. (2019) and Barausse et al. (2020) use the same formalism for seed formation, i.e., defining the instability of protogalactic disks given the Toomre parameter QC, but using a different threshold value (QC equal to either 2.5 or 3, respectively, where a higher value corresponds to more seeds being produced). Binary evolution models: DF (dynamical friction), SH (stellar hardening), G (gas induced migration), Tri (triple interactions), GAL (galaxy gas properties), GW (gravitational waves). The third column lists types of used DM merger trees: ePS (Extended Press-Schechter algorithm; Press & Schechter 1974; Parkinson et al. 2008, EAGLE Crain et al. 2015; Schaye et al. 2015, Illustris Vogelsberger et al. 2014). Each cited work uses a different set of prescriptions for BH growth and feedback, but we do not include all references in the summary as such comparison is beyond the scope of this paper.

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