MBHB as standard sirens [4.5 yr]
FoM
Science investigation and Observational requirement: SI6.2 from Science requirement document.
PE for MBHB used for cosmology
- GREAT 1.0 [0.8 0.9 1.0] : SO6 localization of MBHB sirens
At least 90% of sources with sky localization below 10 deg^2
- OK 9.18 [15 10 5] : SO6 localization of MBHB sirens
Maximum error on sky localization should be below 10 deg^2
- OK 0.923 [0.8 0.9 1.0] : SO6 distance of MBHB sirens
At least 90% sources with luminosity error below 2%
Summary
| snr | dOm | dDL/DL | Ms | z |
|---|---|---|---|---|
| 3832.822704 | 3.004692 | 0.003866 | 589860.000000 | 1.071390 |
| 5352.396243 | 9.181776 | 0.006326 | 1603186.000000 | 1.859020 |
| 2678.522357 | 0.014046 | 0.001400 | 1669153.000000 | 2.555810 |
| 4529.919643 | 0.006322 | 0.000594 | 472431.000000 | 0.935732 |
| 2480.706342 | 0.183080 | 0.006800 | 1440117.000000 | 1.861300 |
| 2497.760013 | 0.007768 | 0.000677 | 3999160.000000 | 2.603500 |
| 1349.962552 | 0.987113 | 0.003018 | 704191.000000 | 4.110010 |
| 2569.514532 | 0.252360 | 0.003167 | 923012.000000 | 3.115890 |
| 3112.679046 | 0.058354 | 0.002024 | 1692088.000000 | 3.228530 |
| 2444.435163 | 0.001821 | 0.006141 | 953553.000000 | 1.159760 |
| 504.883442 | 0.281387 | 0.010238 | 193838.800000 | 6.615830 |
| 2017.927086 | 1.985716 | 0.012078 | 1091025.000000 | 3.846880 |
| 519.271636 | 7.648353 | 0.045065 | 1232788.000000 | 5.793060 |
MBHB with waveform IMRPhenomHM
Assuming SNR threshold for detection: 10.0

waveform_params
'''
- minf : 2e-05
- maxf : 1
- fend : None
- tmin : 0.0
- tmax : None
- phiref : 0.0
- fref_for_phiref : 0.0
- toffset : 0.0
- TDI : TDI2AET
- acc : 0.0001
- order_fresnel_stencil : 0
- approximant : IMRPhenomHM
- responseapprox : full
- frozenLISA : False
- TDIrescaled : False
- LISAconst : {'OrbitOmega': 1.9909865927683783e-07, 'OrbitPhi0': 0.0, 'Orbitt0': 0.0, 'OrbitR': 149597870700.0, 'OrbitL': 2500000000.0}
- LISAnoise : [[2.00000000e-05 4.71195758e-45 4.71195758e-45 6.70580303e-55] [2.10000000e-05 4.71334803e-45 4.71334803e-45 8.15094275e-55] [2.20000000e-05 4.71480631e-45 4.71480631e-45 9.81798275e-55] ... [9.99998000e-01 2.73617388e-36 2.73617388e-36 5.73895037e-36] [9.99999000e-01 2.73619429e-36 2.73619429e-36 5.73933494e-36] [1.00000000e+00 2.73621460e-36 2.73621460e-36 5.73971931e-36]]
- timetomerger_max : 4.5
- modes : [(2, 2), (2, 1), (3, 3), (4, 4)] '''
Detailed results

Comparison with input study
Input parameters
- log : log/SO6b_parameter_estimation_mbhb.log
- config : config.yml
- subconfig :
- duration : 4.5 yr
- duty_cycle : 0.82
- armlength : 2500000000.0 m
- noise : SciRDv1_redbook/noise_background_4.5_yr.npy
- show : False
- fast : 0
- tdi2 : 1
- freqs : [2e-05, 1]
- force_duration : 4.5_yr
- catalog : catalogs/MBHB/data_cosmo_mbhb_redbook.dat
- report : SciRDv1_redbook/report_SO6_parameter_estimation_mbhb.md
- snr_thresh : 10.0
- fom_title : MBHB as standard sirens
- fom_or : ['SI6.2']
- fom_objective : PE for MBHB used for cosmology
- fom_config :
- nproc : 8
- output : SciRDv1_redbook/mbhb-cosmo-err.npy