SOBHB as standard sirens [4.5 yr]

FoM

- NO 0 [100 110 111] : SO6 Probability of advanced localization

Localization is OK if probability > 50% to get the error in the sky better than [0.46, 0.2, 0.03] deg^2.

color code m z
yellow 1-- 4.6e+01 0.1
green -1- 3.8e+01 0.1
blue --1 2.1e+01 0.1

Summary

SOBHB with waveform IMRPhenomD of

  • mass in [46.5, 38.4, 21.0] solar mass
  • mass ratio = 0.99,
  • redshift in [0.057, 0.073, 0.095]
  • chi in [0 - 0.99] (uniform))

Conducting monte-carlo over 256 trials, randomizing spins, sky position and orientation

Remove 0 (over 256) failed sources

Detection probability localization/SNR/dist 46.5 0.057

  • For mass 46.5 and redshift 0.057: probability of sky error <= 0.46 deg^2 is 12.89% and SNR >= 10 is 88.67% and dL/L <= 0.2 is 60.55% and for all conditions is 0.0%

Remove 0 (over 256) failed sources

Detection probability localization/SNR/dist 38.4 0.073

  • For mass 38.4 and redshift 0.073: probability of sky error <= 0.2 deg^2 is 0.0% and SNR >= 10 is 44.92% and dL/L <= 0.2 is 30.47% and for all conditions is 0.0%

Remove 0 (over 256) failed sources

Detection probability localization/SNR/dist 21.0 0.095

  • For mass 21.0 and redshift 0.095: probability of sky error <= 0.03 deg^2 is 0.0% and SNR >= 10 is 0.0% and dL/L <= 0.2 is 0.0% and for all conditions is 0.0%

Sky localization precision versus SNR for 21.0 0.095

Sky localization distribution for 21.0 0.095

Detailed results

waveform paramters

'''

  • minf : 2e-05
  • maxf : 1
  • fend : None
  • tmin : None
  • tmax : 4.5
  • phiref : 0.0
  • fref_for_phiref : None
  • toffset : 0.0
  • TDI : TDI2AET
  • acc : 0.0001
  • order_fresnel_stencil : 0
  • approximant : IMRPhenomD
  • 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 3.26116855e-45 3.26116855e-45 -2.35000529e-51] [ 2.10000000e-05 3.04637232e-45 3.04637232e-45 -2.59086519e-51] [ 2.20000000e-05 2.86794953e-45 2.86794953e-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 '''

Input parameters


- log : log/SO6b_localization_sobh.c1.log
- config : config.yml
- subconfig : 
- duration : 4.5 yr
- duty_cycle : 0.89
- armlength : 2500000000.0 m
- noise : CBE_redbook/noise_background_4.5_yr.npy
- show : False
- fast : 0
- tdi2 : 1
- freqs : [2e-05, 1]
- force_duration : 4.5_yr
- report : CBE_redbook/report_SO6b_localization_sobh.c1.md
- N : 256
- random_seed : 9237
- mass_range : [46.5, 38.4, 21.0]
- z_range : [0.057, 0.073, 0.095]
- sky_thr_fom : [0.46, 0.2, 0.03]
- snr_thr_fom : 10
- fom_range : [100, 110, 111]
- fom_title : SOBHB as standard sirens
- fom_config : SO6/localization_sobh.c1.yml
- inc_trick : False
- fisher_library : fisher_analysis
- nproc : 16
- dist_thr_fom : 0.2

Download

Localization errors c1 46.5 0.057

SNR c1 46.5 0.057

Luminosity distance c1 46.5 0.057

Localization errors c1 38.4 0.073

SNR c1 38.4 0.073

Luminosity distance c1 38.4 0.073

Localization errors c1 21.0 0.095

SNR c1 21.0 0.095

Luminosity distance c1 21.0 0.095

Full simulation results c1