Disentangling seed formation mechanisms [4.5 yr]

FoM

Science investigation and Observational requirement: SI 3.2.1 from Science requirement document.

Detection of GW inspiral with source-frame mass in the range \(10^3-10^5\) M\(_\odot\) and formation redshift in the range \(z = 10-15\) with SNR\(>10\)

- OK 19.79 [10.0 15.0 30.0] : SNR

System of mass 5e3 at z=12

- GREAT 33.17 [10.0 15.0 30.0] : SNR

System of mass 1e4 at z=12

- GREAT 187.35 [10.0 15.0 30.0] : SNR

System of mass 1e5 at z=12

- GREAT 90.05 [10.0 15.0 30.0] : SNR

System of mass 5e6 at z=12

- OK 0.45 [1.0 0.5 0.2] : Relative error on the distance luminosity

System of mass 5e3 at z=12

- GREAT 0.08 [0.75 0.3 0.1] : Relative error on the detector frame mass 1

System of mass 5e3 at z=12

- GREAT 0.07 [0.75 0.3 0.1] : Relative error on the detector frame mass 2

System of mass 5e3 at z=12

- GREAT 0.09 [0.75 0.3 0.1] : Relative error on the detector frame mass 1

System of mass 1e4 at z=12

- GREAT 0.08 [0.75 0.3 0.1] : Relative error on the detector frame mass 2

System of mass 1e4 at z=12

- GREAT 0.01 [0.75 0.3 0.1] : Relative error on the detector frame mass 1

System of mass 1e5 at z=12

- GREAT 0.01 [0.75 0.3 0.1] : Relative error on the detector frame mass 2

System of mass 1e5 at z=12

- GREAT 0.01 [0.75 0.3 0.1] : Relative error on the detector frame mass 1

System of mass 5e6 at z=12

- GREAT 0.03 [0.75 0.3 0.1] : Relative error on the detector frame mass 2

System of mass 5e6 at z=12

- GREAT 0.21 [0.7 0.4 0.3] : Asbolute error on spin 1

System of mass 5e3 at z=12

- GREAT 0.13 [0.7 0.4 0.3] : Asbolute error on spin 1

System of mass 1e4 at z=12

- GREAT 0.02 [0.7 0.4 0.3] : Asbolute error on spin 1

System of mass 1e5 at z=12

- GREAT 0.11 [0.7 0.4 0.3] : Asbolute error on spin 1

System of mass 5e6 at z=12

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
5000.000000	12.000000	19.785136	102544.848526	0.000179	0.326489	0.450722	0.460339	1232.509003	0.422039	0.435411	0.083101	0.074414	0.023811	0.002353	0.206682	0.369075	0.305034
10000.000000	12.000000	33.172264	68246.667278	0.000172	0.198076	0.316797	0.301776	2914.455096	0.265130	0.305740	0.086804	0.078576	0.022930	0.002102	0.131400	0.187231	0.194264
100000.000000	12.000000	187.346322	38235.475346	0.000259	0.017838	0.072047	0.063986	3364.177875	0.058978	0.061921	0.009331	0.008443	0.003689	0.000213	0.016446	0.023760	0.028559
5000000.000000	12.000000	90.052763	8737.650317	0.014562	0.029212	0.523597	0.558916	844585.146732	0.474196	0.482115	0.012527	0.028841	0.035970	0.001429	0.105214	0.150346	0.036151

MBHB with waveform IMRPhenomHM of

• mass = [5000.0, 10000.0, 100000.0, 5000000.0] solar mass
• mass ratio in [1, 3] (log uniform),
• redshift = [12]
• 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: 10.0

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=5000.0, z=12

Ms=10000.0, z=12

Ms=100000.0, z=12

Ms=5000000.0, z=12

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 3.74868279e-45 3.74868279e-45 1.45384261e-55] [2.10000000e-05 3.51079457e-45 3.51079457e-45 1.76691006e-55] [2.20000000e-05 3.31246021e-45 3.31246021e-45 2.12793518e-55] ... [9.99998000e-01 1.35664204e-36 1.35664204e-36 2.82767611e-36] [9.99999000e-01 1.35666152e-36 1.35666152e-36 2.82788487e-36] [1.00000000e+00 1.35668095e-36 1.35668095e-36 2.82809354e-36]]
• timetomerger_max : 4.5
• modes : [(2, 2), (2, 1), (3, 3), (4, 4)] '''

Input parameters

- log : log/SO2_parameter_estimation.seeds.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.seeds.md
- snr_thresh : 10
- fom_range : []
- fom_parameter : []
- fom_title : Disentangling seed formation mechanisms
- fom_or : ['SI 3.2.1']
- fom_objective : Detectability/PE for MBHB
- fom_config : SO2/parameter_estimation.seeds.yml
- output : SciRDv1_redbook/data_SO2a_parameter_estimation.seeds.pkl
- mass_range : [5000.0, 10000.0, 100000.0, 5000000.0]
- z_range : [12]
- spin_range : [0, 0]
- mass_ratio_range : [1, 3]
- fom_obj : Detection of GW inspiral with source-frame mass in the range $10^3-10^5$ M$_\odot$ and formation redshift in the range $z = 10-15$ with SNR$>10$
- foms : [{'system': 0, 'value': 'snr', 'extra': 30.0, 'good': 15.0, 'bad': 10.0, 'title': 'SNR', 'descr': 'System of mass 5e3 at z=12', 'inverse': False}, {'system': 1, 'value': 'snr', 'extra': 30.0, 'good': 15.0, 'bad': 10.0, 'title': 'SNR', 'descr': 'System of mass 1e4 at z=12', 'inverse': False}, {'system': 2, 'value': 'snr', 'extra': 30.0, 'good': 15.0, 'bad': 10.0, 'title': 'SNR', 'descr': 'System of mass 1e5 at z=12', 'inverse': False}, {'system': 3, 'value': 'snr', 'extra': 30.0, 'good': 15.0, 'bad': 10.0, 'title': 'SNR', 'descr': 'System of mass 5e6 at z=12', 'inverse': False}, {'system': 0, 'value': 'dDL/DL', 'extra': 0.2, 'good': 0.5, 'bad': 1.0, 'title': 'Relative error on the distance luminosity', 'descr': 'System of mass 5e3 at z=12'}, {'system': 0, 'value': 'dm1/m1', 'extra': 0.1, 'good': 0.3, 'bad': 0.75, 'title': 'Relative error on the detector frame mass 1', 'descr': 'System of mass 5e3 at z=12'}, {'system': 0, 'value': 'dm2/m2', 'extra': 0.1, 'good': 0.3, 'bad': 0.75, 'title': 'Relative error on the detector frame mass 2', 'descr': 'System of mass 5e3 at z=12'}, {'system': 1, 'value': 'dm1/m1', 'extra': 0.1, 'good': 0.3, 'bad': 0.75, 'title': 'Relative error on the detector frame mass 1', 'descr': 'System of mass 1e4 at z=12'}, {'system': 1, 'value': 'dm2/m2', 'extra': 0.1, 'good': 0.3, 'bad': 0.75, 'title': 'Relative error on the detector frame mass 2', 'descr': 'System of mass 1e4 at z=12'}, {'system': 2, 'value': 'dm1/m1', 'extra': 0.1, 'good': 0.3, 'bad': 0.75, 'title': 'Relative error on the detector frame mass 1', 'descr': 'System of mass 1e5 at z=12'}, {'system': 2, 'value': 'dm2/m2', 'extra': 0.1, 'good': 0.3, 'bad': 0.75, 'title': 'Relative error on the detector frame mass 2', 'descr': 'System of mass 1e5 at z=12'}, {'system': 3, 'value': 'dm1/m1', 'extra': 0.1, 'good': 0.3, 'bad': 0.75, 'title': 'Relative error on the detector frame mass 1', 'descr': 'System of mass 5e6 at z=12'}, {'system': 3, 'value': 'dm2/m2', 'extra': 0.1, 'good': 0.3, 'bad': 0.75, 'title': 'Relative error on the detector frame mass 2', 'descr': 'System of mass 5e6 at z=12'}, {'system': 0, 'value': 'dchi1', 'extra': 0.3, 'good': 0.4, 'bad': 0.7, 'title': 'Asbolute error on spin 1', 'descr': 'System of mass 5e3 at z=12'}, {'system': 1, 'value': 'dchi1', 'extra': 0.3, 'good': 0.4, 'bad': 0.7, 'title': 'Asbolute error on spin 1', 'descr': 'System of mass 1e4 at z=12'}, {'system': 2, 'value': 'dchi1', 'extra': 0.3, 'good': 0.4, 'bad': 0.7, 'title': 'Asbolute error on spin 1', 'descr': 'System of mass 1e5 at z=12'}, {'system': 3, 'value': 'dchi1', 'extra': 0.3, 'good': 0.4, 'bad': 0.7, 'title': 'Asbolute error on spin 1', 'descr': 'System of mass 5e6 at z=12'}]

Download

PE data seeds_m_5000.0_z_12

Full data set seeds_m_5000.0_z_12

PE data seeds_m_10000.0_z_12

Full data set seeds_m_10000.0_z_12

PE data seeds_m_100000.0_z_12

Full data set seeds_m_100000.0_z_12

PE data seeds_m_5000000.0_z_12

Full data set seeds_m_5000000.0_z_12