Detectability of MBHB with measured masses. [4.5 yr]
FoM
- OK 208 [100 200 250] : SO6 detectable Pop3 sources with measured masses.
- OK 35 [20 30 40] : SO6 detectable Q3d sources with measured masses.
- GREAT 536 [100 300 400] : SO6 detectable Q3nd sources with measured masses.
Sources with SNR > 8.0, \(dm_1 / m_1\) < 0.3 and \(dm_2 / m_2\) < 0.5.
Summary
We took a catalog of MBHB events (for the populations Pop3, Q3d, Q3nd) and, for each population, build 10 realisations for a mission duration of 4.5 years. We then computed the SNR and the errors in parameter estimation for each realisation source, and, counted the number of detectable SNR > 8.0 sources and, among these, the number of sources with \(dm_1 / m_1\) < 0.3 and \(dm_2 / m_2\) < 0.5. For each population we selected the realisation with the best, the worst and the median number of such sources. The table is reported below.
| Realisation | sources | detectable [*] | measured masses[**] | Real. index |
|---|---|---|---|---|
| Best Pop3. | 770 | 235 | 232 | 1 |
| Median Pop3. | 781 | 209 | 208 | 8 |
| Worst Pop3. | 715 | 180 | 180 | 7 |
| Best Q3d. | 39 | 38 | 38 | 3 |
| Median Q3d. | 35 | 35 | 35 | 4 |
| Worst Q3d. | 26 | 26 | 26 | 2 |
| Best Q3nd. | 574 | 573 | 558 | 5 |
| Median Q3nd. | 553 | 546 | 536 | 7 |
| Worst Q3nd. | 482 | 478 | 473 | 3 |
[*] detectable: SNR > 8.0.
[**] measured masses: SNR > 8.0, \(dm_1 / m_1\) < 0.3 and \(dm_2 / m_2\) < 0.5
The FOMs above and the plots below use, for each model, the realisation corresponding to the median number of detectable sources with measured masses.
