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 15.43 [10.0 15.0 30.0] : SNR

System of mass 5e3 at z=12

- OK 23.48 [10.0 15.0 30.0] : SNR

System of mass 1e4 at z=12

- GREAT 131.88 [10.0 15.0 30.0] : SNR

System of mass 1e5 at z=12

- GREAT 65.17 [10.0 15.0 30.0] : SNR

System of mass 5e6 at z=12

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

System of mass 5e3 at z=12

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

System of mass 5e3 at z=12

- GREAT 0.09 [0.75 0.3 0.1] : Relative error on the detector frame mass 2

System of mass 5e3 at z=12

- OK 0.12 [0.75 0.3 0.1] : Relative error on the detector frame mass 1

System of mass 1e4 at z=12

- OK 0.11 [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 0.02 [0.75 0.3 0.1] : Relative error on the detector frame mass 1

System of mass 5e6 at z=12

- GREAT 0.04 [0.75 0.3 0.1] : Relative error on the detector frame mass 2

System of mass 5e6 at z=12

- OK 0.31 [0.7 0.4 0.3] : Asbolute error on spin 1

System of mass 5e3 at z=12

- GREAT 0.18 [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 0.15 [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	15.434610	54742.791039	0.000213	0.421103	0.504012	0.546657	1396.379712	0.490958	0.510632	0.097520	0.087238	0.029493	0.002915	0.305421	0.564243	0.415041
10000.000000	12.000000	23.475441	45302.684104	0.000224	0.266935	0.417973	0.416777	3845.441877	0.366849	0.409885	0.115054	0.105756	0.029716	0.002919	0.180990	0.256332	0.262478
100000.000000	12.000000	131.875959	24496.871836	0.000374	0.025316	0.102252	0.091440	4765.788970	0.085224	0.088805	0.013267	0.012024	0.005070	0.000300	0.023299	0.033676	0.040693
5000000.000000	12.000000	65.171609	5995.355414	0.019861	0.038163	0.759741	0.900386	1179811.156712	0.738202	0.731565	0.017127	0.039468	0.051369	0.001989	0.147183	0.221789	0.044944

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 4.71195758e-45 4.71195758e-45 6.70580303e-55] [2.10000000e-05 4.71334803e-45 4.71334803e-45 8.15094275e-55] [2.20000000e-05 4.71480631e-45 4.71480631e-45 9.81798275e-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.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