Discovering nearly equal mass IMBHs in the local universe [4.5 yr]
FoM
Science investigation and Observational requirement: SI 3.2.4a from Science requirement document.
Detection of MBHB with source-frame mass using 1200 or 12000 M\(_\odot\) and formation redshift in the range \(z=0.5\) with SNR \(>20\)
- GREAT 0.05 [0.3 0.15 0.05] : Relative error on the source frame mass 1
System of mass 1.2e3 at z=0.5
- GREAT 0.05 [0.3 0.15 0.05] : Relative error on the source frame mass 2
System of mass 1.2e3 at z=0.5
- GREAT 0.03 [0.3 0.15 0.05] : Relative error on the source frame mass 1
System of mass 1.2e4 at z=0.5
- GREAT 0.03 [0.3 0.15 0.05] : Relative error on the source frame mass 2
System of mass 1.2e4 at z=0.5
Summary
| Ms | z | snr | tdet_s | dMc/Mc | dq/q | dDL/DL | dz/z | dM | dm1s/m1s | dm2s/m2s | dm1/m1 | dm2/m2 | dchieff | dMf/Mf | dchi1 | dchi2 | diota |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1200.000000 | 0.500000 | 29.371341 | 4586781.712544 | 0.000005 | 1.366071 | 0.137923 | 0.115700 | 0.048674 | 0.048709 | 0.047721 | 0.008229 | 0.008215 | 0.008727 | 0.176257 | 15.251233 | 15.364345 | 0.136657 |
| 12000.000000 | 0.500000 | 219.410531 | 6221507.504645 | 0.000002 | 0.077956 | 0.023372 | 0.019409 | 1.200484 | 0.031071 | 0.030499 | 0.027585 | 0.027563 | 0.000420 | 0.000592 | 0.538727 | 0.542278 | 0.015477 |
MBHB with waveform IMRPhenomHM of
- mass = [1200, 12000] solar mass
- mass ratio in [1, 1.01] (log uniform),
- redshift = [0.5]
- t0 in [0.10 - 0.95] (uniform)
- chi in [0.00 - 0.00] (uniform))
Conducting monte-carlo over 1000 trials, randomizing spins, sky position and orientation
Assuming SNR threshold for detection: 20.0
For derived parameters (dz/z, dMf/Mf), random samples are drawn from the inverse Fisher, derived quantities are computed and we extract their standard deviation and mean.
For the following waveform parameters (dMc/Mc, dDL/DL, dq/q), we use a log10 parameterization.
We report observer frame errors.
Detailed results
Ms=1200, z=0.5
Ms=12000, z=0.5
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 7.71748532e-41 7.71748532e-41 8.45230844e-54] [2.10000000e-05 5.48584269e-41 5.48584269e-41 7.52449171e-54] [2.20000000e-05 3.96262828e-41 3.96262828e-41 6.82098233e-54] ... [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)] '''
Input parameters
- log : log/SO2_parameter_estimation.imbh1.log
- config : config.yml
- subconfig :
- duration : 4.5 yr
- duty_cycle : 0.82
- armlength : 2500000000.0 m
- noise : SciRDv1
- show : False
- fast : 0
- tdi2 : 1
- freqs : [2e-05, 1]
- force_duration : 4.5_yr
- report : SciRDv1_redbook/report_SO2a_parameter_estimation.imbh1.md
- snr_thresh : 20
- fom_range : []
- fom_parameter : []
- fom_title : Discovering nearly equal mass IMBHs in the local universe
- fom_or : ['SI 3.2.4a']
- fom_objective : Detectability/PE for MBHB
- fom_config : SO2/parameter_estimation.imbh1.yml
- output : SciRDv1_redbook/data_SO2a_parameter_estimation.imbh1.pkl
- mass_range : [1200, 12000]
- z_range : [0.5]
- spin_range : [0, 0]
- mass_ratio_range : [1, 1.01]
- fom_obj : Detection of MBHB with source-frame mass using 1200 or 12000 M$_\odot$ and formation redshift in the range $z=0.5$ with SNR $>20$
- foms : [{'system': 0, 'value': 'dm1s/m1s', 'extra': 0.05, 'good': 0.15, 'bad': 0.3, 'title': 'Relative error on the source frame mass 1', 'descr': 'System of mass 1.2e3 at z=0.5'}, {'system': 0, 'value': 'dm2s/m2s', 'extra': 0.05, 'good': 0.15, 'bad': 0.3, 'title': 'Relative error on the source frame mass 2', 'descr': 'System of mass 1.2e3 at z=0.5'}, {'system': 1, 'value': 'dm1s/m1s', 'extra': 0.05, 'good': 0.15, 'bad': 0.3, 'title': 'Relative error on the source frame mass 1', 'descr': 'System of mass 1.2e4 at z=0.5'}, {'system': 1, 'value': 'dm2s/m2s', 'extra': 0.05, 'good': 0.15, 'bad': 0.3, 'title': 'Relative error on the source frame mass 2', 'descr': 'System of mass 1.2e4 at z=0.5'}]