Reconstructing the cosmic history (mass measurements) [4.5 yr]

FoM

Science investigation and Observational requirement: SI 3.2.2a from Science requirement document.

Detection of MBHB with source-frame mass in the range \(10^4-10^6\) M\(_\odot\) and formation redshift in the range \(z = 5-8\) with SNR\(>10\)

Summary

Ms	z	snr	tdet_s	dMc/Mc	dq/q	dDL/DL	chieff	dMf/Mf	chi1	chi2
50000.000000	8.000000	91.723834	70228.192814	0.000140	0.040533	0.087211	0.006096	0.000832	0.046959	0.105521
50000.000000	5.000000	114.860295	234890.928460	0.000094	0.038890	0.068652	0.005498	0.000766	0.041669	0.095532
500000.000000	8.000000	469.197512	60209.668119	0.000548	0.003431	0.038598	0.001785	0.000091	0.009704	0.021872
500000.000000	5.000000	647.041219	170592.515992	0.000221	0.002668	0.025681	0.000958	0.000063	0.005889	0.013305
5000000.000000	8.000000	166.401889	13732.213899	0.007380	0.014856	0.203500	0.009222	0.000636	0.037428	0.102606
5000000.000000	5.000000	331.633386	31407.673977	0.002613	0.006227	0.083014	0.004058	0.000244	0.017718	0.040666

MBHB with waveform IMRPhenomHM of

• mass = [50000.0, 500000.0, 5000000.0] solar mass
• mass ratio in [1, 10] (log uniform),
• redshift = [8, 5]
• t0 in [0.10 - 0.95] (uniform)
• chi in [0.00 - 1.00] (uniform))

Conducting monte-carlo over 100 trials, randomizing spins, sky position and orientation

Assuming SNR threshold for detection: 10.0

Detailed results

Ms=50000.0, z=8

Ms=50000.0, z=5

Ms=500000.0, z=8

Ms=500000.0, z=5

Ms=5000000.0, z=8

Ms=5000000.0, z=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 4.71195758e-45 4.71195758e-45 6.70581547e-55] [2.10000000e-05 4.71334803e-45 4.71334803e-45 8.15094897e-55] [2.20000000e-05 4.71480631e-45 4.71480631e-45 9.81800142e-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)] '''

Input parameters

- log : log/SO2_parameter_estimation.growth1.log
- config : config.yml
- subconfig : 
- duration : 4.5 yr
- duty_cycle : 0.89
- 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
- report : SciRDv1_redbook/report_SO2a_parameter_estimation.growth1.md
- random_seed : 2137
- mass_range : [50000.0, 500000.0, 5000000.0]
- z_range : [8, 5]
- spin_range : [0, 1]
- mass_ratio_range : [1, 10]
- snr_thresh : 10
- fom_range : [50, 75, 90]
- fom_title : Reconstructing the cosmic history (mass measurements)
- fom_or : ['SI 3.2.2a']
- fom_objective : Detectability/PE for MBHB
- fom_config : SO2/parameter_estimation.growth1.yml
- nproc : 24
- fom_obj : Detection of MBHB with source-frame mass in the range $10^4-10^6$ M$_\odot$ and formation redshift in the range $z = 5-8$ with SNR$>10$

Download

PE data growth1_m_50000.0_z_8

PE data growth1_m_50000.0_z_5

PE data growth1_m_500000.0_z_8

PE data growth1_m_500000.0_z_5

PE data growth1_m_5000000.0_z_8

PE data growth1_m_5000000.0_z_5