MBHB as standard sirens [1.0 yr]
FoM
Science investigation and Observational requirement: SI6.2 OR6.2 from Science requirement document.
Compute detectable MBHBs (\(SNR>10\)) using representative masses and distance from three astro models (popIII, heavy-delyaed, heavy-no-delay) and assess probability of their localization better than \(10 m{deg}^2\)
- OK 110 [100 110 111] : SO6 Probability of advanced localization
Localization is OK if probability > 50% to get the error in the sky better than 10 deg^2.
color | code |
---|---|
red | --- |
yellow | 1-- |
green | -1- |
blue | --1 |
Population | combined FoM | values |
---|---|---|
heavy-nodelay | 100 | [74.16992188 40.77148438 14.69726562] |
heavy-delay | 110 | [76.46484375 60.00976562 23.14453125] |
popIII | 0 | [40.18554688 2.05078125 0. ] |
Summary
MBHB with waveform IMRPhenomHM of
- mass in [140000.0, 47000.0, 14000.0] solar mass
- mass ratio = 0.99,
- redshift in [2.7, 4.5, 6.6]
- chi in [0 - 0.99] (uniform))
Conducting monte-carlo over 2048 trials, randomizing spins, sky position and orientation
Remove 0 (over 2048) failed sources
Detection probability localization/SNR heavy-nodelay - 140000.0 2.7
- For mass 140000.0 and redshift 2.7: probability of sky error <= 10 deg^2 is 74.17% and SNR >= 10 is 100.0% and for both conditions is 74.17%
Remove 0 (over 2048) failed sources
Detection probability localization/SNR heavy-nodelay - 47000.0 4.5
- For mass 47000.0 and redshift 4.5: probability of sky error <= 10 deg^2 is 40.77% and SNR >= 10 is 100.0% and for both conditions is 40.77%
Remove 0 (over 2048) failed sources
Detection probability localization/SNR heavy-nodelay - 14000.0 6.6
- For mass 14000.0 and redshift 6.6: probability of sky error <= 10 deg^2 is 14.7% and SNR >= 10 is 99.95% and for both conditions is 14.7%
Sky localization distribution for 14000.0 6.6
MBHB with waveform IMRPhenomHM of
- mass in [300000.0, 130000.0, 22000.0] solar mass
- mass ratio = 0.99,
- redshift in [2.8, 4.9, 7.0]
- chi in [0 - 0.99] (uniform))
Conducting monte-carlo over 2048 trials, randomizing spins, sky position and orientation
Remove 0 (over 2048) failed sources
Detection probability localization/SNR heavy-delay - 300000.0 2.8
- For mass 300000.0 and redshift 2.8: probability of sky error <= 10 deg^2 is 76.46% and SNR >= 10 is 100.0% and for both conditions is 76.46%
Remove 0 (over 2048) failed sources
Detection probability localization/SNR heavy-delay - 130000.0 4.9
- For mass 130000.0 and redshift 4.9: probability of sky error <= 10 deg^2 is 60.01% and SNR >= 10 is 100.0% and for both conditions is 60.01%
Remove 0 (over 2048) failed sources
Detection probability localization/SNR heavy-delay - 22000.0 7.0
- For mass 22000.0 and redshift 7.0: probability of sky error <= 10 deg^2 is 23.14% and SNR >= 10 is 100.0% and for both conditions is 23.14%
Sky localization distribution for 22000.0 7.0
MBHB with waveform IMRPhenomHM of
- mass in [32000.0, 6000.0, 2500.0] solar mass
- mass ratio = 0.99,
- redshift in [2.5, 4.3, 5.8]
- chi in [0 - 0.99] (uniform))
Conducting monte-carlo over 2048 trials, randomizing spins, sky position and orientation
Remove 0 (over 2048) failed sources
Detection probability localization/SNR popIII - 32000.0 2.5
- For mass 32000.0 and redshift 2.5: probability of sky error <= 10 deg^2 is 40.19% and SNR >= 10 is 100.0% and for both conditions is 40.19%
Remove 0 (over 2048) failed sources
Detection probability localization/SNR popIII - 6000.0 4.3
- For mass 6000.0 and redshift 4.3: probability of sky error <= 10 deg^2 is 2.05% and SNR >= 10 is 99.9% and for both conditions is 2.05%
Remove 0 (over 2048) failed sources
Detection probability localization/SNR popIII - 2500.0 5.8
- For mass 2500.0 and redshift 5.8: probability of sky error <= 10 deg^2 is 0.0% and SNR >= 10 is 97.8% and for both conditions is 0.0%
Sky localization distribution for 2500.0 5.8
Sky localization precision versus SNR for 2500.0 5.8
Detailed results
waveform paramters
'''
- minf : 2e-05
- maxf : 1
- fend : None
- tmin : None
- tmax : 1.0
- 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 3.26116899e-45 3.26116899e-45 -2.35000529e-51] [ 2.10000000e-05 3.04638010e-45 3.04638010e-45 -2.59086519e-51] [ 2.20000000e-05 2.86794944e-45 2.86794944e-45 -2.84347125e-51] ... [ 9.99998000e-01 1.12081104e-36 1.12081104e-36 2.92351422e-36] [ 9.99999000e-01 1.12081125e-36 1.12081125e-36 2.92372017e-36] [ 1.00000000e+00 1.12081141e-36 1.12081141e-36 2.92392603e-36]]
- t0 : 0.0
- modes : [(2, 2), (2, 1), (3, 3), (4, 4)] '''
waveform paramters
'''
- minf : 2e-05
- maxf : 1
- fend : None
- tmin : None
- tmax : 1.0
- 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 3.26116899e-45 3.26116899e-45 -2.35000529e-51] [ 2.10000000e-05 3.04638010e-45 3.04638010e-45 -2.59086519e-51] [ 2.20000000e-05 2.86794944e-45 2.86794944e-45 -2.84347125e-51] ... [ 9.99998000e-01 1.12081104e-36 1.12081104e-36 2.92351422e-36] [ 9.99999000e-01 1.12081125e-36 1.12081125e-36 2.92372017e-36] [ 1.00000000e+00 1.12081141e-36 1.12081141e-36 2.92392603e-36]]
- t0 : 0.0
- modes : [(2, 2), (2, 1), (3, 3), (4, 4)] '''
waveform paramters
'''
- minf : 2e-05
- maxf : 1
- fend : None
- tmin : None
- tmax : 1.0
- 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 3.26116899e-45 3.26116899e-45 -2.35000529e-51] [ 2.10000000e-05 3.04638010e-45 3.04638010e-45 -2.59086519e-51] [ 2.20000000e-05 2.86794944e-45 2.86794944e-45 -2.84347125e-51] ... [ 9.99998000e-01 1.12081104e-36 1.12081104e-36 2.92351422e-36] [ 9.99999000e-01 1.12081125e-36 1.12081125e-36 2.92372017e-36] [ 1.00000000e+00 1.12081141e-36 1.12081141e-36 2.92392603e-36]]
- t0 : 0.0
- modes : [(2, 2)] '''
Input parameters
- log : log/SO6a_localization_mbhb.log
- config : config.yml
- subconfig :
- duration : 1.0 yr
- duty_cycle : 0.75
- armlength : 2500000000.0 m
- noise : CBE_1yr_6yr_tdi2/noise_background_1_yr.npy
- show : False
- fast : 0
- tdi2 : 1
- freqs : [2e-05, 1]
- force_duration : 1_yr
- report : CBE_1yr_6yr_tdi2/report_SO6a_localization_mbhb.md
- fom_data : ['CBE_1yr_6yr_tdi2/SO6a-fom-data-mbhb.heavy-nodelay.npy', 'CBE_1yr_6yr_tdi2/SO6a-fom-data-mbhb.heavy-delay.npy', 'CBE_1yr_6yr_tdi2/SO6a-fom-data-mbhb.popIII.npy']
- fom_title : MBHB as standard sirens
- fom_config : ['SO6/localization_mbhb.heavy-nodelay.yml', 'SO6/localization_mbhb.heavy-delay.yml', 'SO6/localization_mbhb.popIII.yml']
- inc_trick : False
Download
Full simulation results heavy-nodelay