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

FoM

Science investigation and Observational requirement: SI 3.2.2b 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 \(z = 2\) with SNR\(>10\)

Summary

Ms	z	snr	tdet_s	dMc/Mc	dq/q	dDL/DL	chieff	dMf/Mf	chi1	chi2
500000.000000	2.000000	1178.707420	1153103.631653	0.000039	0.001916	0.009373	0.000365	0.000035	0.002860	0.007854
1000000.000000	2.000000	1934.653529	749145.985318	0.000074	0.000892	0.008589	0.000320	0.000021	0.001974	0.004449
5000000.000000	2.000000	1469.106175	230353.185400	0.000377	0.001114	0.015526	0.000678	0.000039	0.003329	0.008757

MBHB with waveform IMRPhenomHM of

• mass = [500000.0, 1000000.0, 5000000.0] solar mass
• mass ratio in [1, 10] (log uniform),
• redshift = [2]
• 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=500000.0, z=2

Ms=1000000.0, z=2

Ms=5000000.0, z=2

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.growth2.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.growth2.md
- random_seed : 2137
- mass_range : [500000.0, 1000000.0, 5000000.0]
- z_range : [2]
- spin_range : [0, 1]
- mass_ratio_range : [1, 10]
- snr_thresh : 10
- fom_range : [50, 75, 90]
- fom_title : Reconstructing the cosmic history (spin measurements)
- fom_or : ['SI 3.2.2b']
- fom_objective : Detectability/PE for MBHB
- fom_config : SO2/parameter_estimation.growth2.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 $z = 2$ with SNR$>10$

Download

PE data growth2_m_500000.0_z_2

PE data growth2_m_1000000.0_z_2

PE data growth2_m_5000000.0_z_2