LitePIG: A Lite Parameter Inference system for the Gravitational wave in the millihertz band

Abstract

We present a python based parameter inference system for the gravitational wave (GW) measured in the millihertz band. This system includes the following features: the GW waveform originated from the massive black hole binaries (MBHB), the stationary instrumental gaussian noise, the higher-order harmonic modes, the full response function from the time delay interferometry (TDI) and the gaussian likelihood function with the dynamic nested parameter sampler. In particular, we highlight the role of higher-order modes. By including these modes, the luminosity distance estimation precision can be improved roughly by a factor of 50, compared with the case with only the leading order ($\ell =2,|m|=2$) mode. This is due to the response function of different harmonic modes on the inclination angle are different. Hence, it can help to break the distance-inclination degeneracy. Furthermore, we show the robustness of testing general relativity (GR) by using the higher-order harmonics. Our results show that the GW from MBHB can simultaneously constrain four of the higher harmonic amplitudes (deviation from GR) with a precision of $c_{21}=0.54_{-0.82}^{+0.61}$, $c_{32}=-0.65_{-0.08}^{+0.22}$, $c_{33}=0.56_{-0.76}^{+0.60}$ and $c_{44}=1.57_{-1.90}^{+2.34}$, respectively.

arXiv comment9 pages, 7 figures

References in corpus (39)

• Advanced Virgo: a 2nd generation interferometric gravitational wave detector
• dynesty: A Dynamic Nested Sampling Package for Estimating Bayesian Posteriors and Evidences
• GW190814: Gravitational Waves from the Coalescence of a 23 M${}_{\odot }$ Black Hole with a 2.6 M${}_{\odot }$ Compact Object
• GWTC-3: Compact Binary Coalescences Observed by LIGO and Virgo During the Second Part of the Third Observing Run
• Tests of general relativity with GW150914
• Characterization of the LIGO detectors during their sixth science run
• Tests of General Relativity with the Binary Black Hole Signals from the LIGO-Virgo Catalog GWTC-1
• Tests of General Relativity with Binary Black Holes from the second LIGO-Virgo Gravitational-Wave Transient Catalog
• Using gravitational-wave standard sirens
• Science with the space-based interferometer LISA. V: Extreme mass-ratio inspirals
• GW190412: Observation of a Binary-Black-Hole Coalescence with Asymmetric Masses
• The construction and use of LISA sensitivity curves
• Tests of General Relativity with GW170817
• KAGRA: 2.5 Generation Interferometric Gravitational Wave Detector
• Higher-order spin effects in the amplitude and phase of gravitational waveforms emitted by inspiraling compact binaries: Ready-to-use gravitational waveforms
• IMRPhenomXHM: A multi-mode frequency-domain model for the gravitational wave signal from non-precessing black-hole binaries
• PyCBC Inference: A Python-based parameter estimation toolkit for compact binary coalescence signals
• Parametrized tests of post-Newtonian theory using Advanced LIGO and Einstein Telescope
• The imprint of massive black hole formation models on the LISA data stream
• The First Round Result from the TianQin-1 Satellite
• Ready-to-use post-Newtonian gravitational waveforms for binary black holes with non-precessing spins: An update
• Algebraic approach to time-delay data analysis for LISA
• Synthetic LISA: Simulating Time Delay Interferometry in a Model LISA
• Exploring the Bayesian parameter estimation of binary black holes with LISA
• Global Analysis of the Gravitational Wave Signal from Galactic Binaries
• Mixing of spherical and spheroidal modes in perturbed Kerr black holes
• Binary black hole spectroscopy
• Measuring gravitational-wave higher-order modes
• Constraining the Inclination of Binary Mergers from Gravitational-wave Observations
• Decoding mode-mixing in black-hole merger ringdown
• LISA Sensitivity and SNR Calculations
• GPU-accelerated massive black hole binary parameter estimation with LISA
• Constraining the Hubble constant to a precision of about 1% using multi-band dark standard siren detections
• Statistical and systematic errors for gravitational-wave inspiral signals: A principal component analysis
• Mapping the Universe Expansion: Enabling percent-level measurements of the Hubble Constant with a single binary neutron-star merger detection
• Testing the"no-hair" nature of binary black holes using the consistency of multipolar gravitational radiation
• Detectability of gravitational higher order modes in the third-generation era
• High-precision source characterization of intermediate mass-ratio black hole coalescences with gravitational waves: The importance of higher-order multipoles
• Bi-orthogonal harmonics for the decomposition of gravitational radiation I: angular modes, completeness, and the introduction of adjoint-spheroidal harmonics

Cited by in corpus (1)

• Assessing the systematic errors of extreme-mass-ratio inspirals waveforms for testing general relativity