Table 1.
Likelihood comparison.
| pBH = 1 | pBH = 0.1 | pBH = 1 | pBH = 0.1 | power-law | power-law | |
|---|---|---|---|---|---|---|
| no spread | no spread | σ = 0.5 | σ = 0.5 | no spread | σ = 0.5 | |
| JWST | mseed = 102 M⊙ | 3 × 104 M⊙ | 102 M⊙ | 2 × 104 M⊙ | a = 8.5 | 8.5 |
| Mseed = 104 M⊙ | 5 × 105 M⊙ | 104 M⊙ | 3 × 105 M⊙ | b = 0.64 | 0.64 | |
| −2logℒ = 200 | 200 | 70 | 60 | −2logℒ = 230 | 140 | |
| pre-JWST | 3 × 104 M⊙ | 6 × 104 M⊙ | 5 × 103 M⊙ | 4 × 103 M⊙ | a = 8.3 | 8.0 |
| 106 M⊙ | 2 × 106 M⊙ | 3 × 105 M⊙ | 2 × 105 M⊙ | b = 1.8 | 1.4 | |
| 1080 | 990 | 780 | 650 | 1100 | 970 | |
| all data | 3 × 104 M⊙ | 2 × 105 M⊙ | 5 × 103 M⊙ | 105 M⊙ | a = 8.3 | 8.0 |
| 106 M⊙ | 3 × 106 M⊙ | 3 × 105 M⊙ | 2 × 106 M⊙ | b = 1.4 | 1.0 | |
| 1290 | 1190 | 850 | 720 | 1820 | 1290 | |
Notes. Four leftmost columns: Compilation of the best-fit and log-likelihood values of the model parameters described in the text. Two rightmost columns: Best fits for a power-law mean BH mass-stellar mass relation of mBH = 10a M⊙(M*/1011 M⊙)b with a log-normal spread defined as in Ellis et al. (2024b) are shown for comparison.
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