Parameter estimation using a complete signal and inspiral templates for low mass binary black holes with Advanced LIGO sensitivity

Abstract

We study the validity of inspiral templates in gravitational wave data analysis with Advanced LIGO sensitivity for low mass binary black holes with total masses of $M\le 30Msun$. We mainly focus on the nonspinning system. As our complete inspiral-merger-ringdown waveform model ($IMR$), we assume the phenomenological model, "PhenomA", and define our inspiral template model ($Imerg$) by taking the inspiral part into account from $IMR$ up to the merger frequency (fmerg). We first calculate the {\it true} statistical uncertainties using $IMR$ signals and $IMR$ templates. Next, using $IMR$ signals and $Imerg$ templates, we calculate fitting factors and systematic biases, and compare the biases with the {\it true} statistical uncertainties. We find that the valid criteria of the bank of $Imerg$ templates are obtained as $Mcrit\sim 24Msun$ for detection (if $M>Mcrit$, the fitting factor is smaller than $0.97$), and $Mcrit\sim 26Msun$ for parameter estimation (if $M>Mcrit$, the systematic bias is larger than the {\it true} statistical uncertainty where the signal to noise ratio is $20$), respectively. In order to see the dependence on the cutoff frequency of the inspiral waveforms, we define another inspiral model $Iisco$ which is terminated at the innermost-stable-circular-orbit frequency ($fisco<fmerg$). We find that the valid criteria of the bank of $Iisco$ templates are obtained as $Mcrit\sim 15Msun$ and $\sim 17Msun$ for detection and parameter estimation, respectively. We investigate the statistical uncertainties for the inspiral template models considering various signal to noise ratios, and compare those to the {\it true} statistical uncertainties. We also consider the aligned-spinning system with fixed mass ratio ($m_1/m_2=3$) and spin ($\chi =0.5$) by employing the recent phenomenological model, "PhenomC".

24 pages, 16 figures, major revision from version 1, matched to the published version in CQG

References in corpus (25)

• Advanced Virgo: a 2nd generation interferometric gravitational wave detector
• Comparison of post-Newtonian templates for compact binary inspiral signals in gravitational-wave detectors
• Use and Abuse of the Fisher Information Matrix in the Assessment of Gravitational-Wave Parameter-Estimation Prospects
• Inspiral, merger and ring-down of equal-mass black-hole binaries
• Binary Black Hole Mergers from Globular Clusters: Implications for Advanced LIGO
• Calibration of Moving Puncture Simulations
• Phenomenological template family for black-hole coalescence waveforms
• LISA detections of massive black hole inspirals: parameter extraction errors due to inaccurate template waveforms
• Exploring black hole superkicks
• Binary black-hole evolutions of excision and puncture data
• Where post-Newtonian and numerical-relativity waveforms meet
• A data-analysis driven comparison of analytic and numerical coalescing binary waveforms: nonspinning case
• Parameter estimation for binary neutron-star coalescences with realistic noise during the Advanced LIGO era
• Search for Gravitational Waves from Binary Black Hole Inspiral, Merger and Ringdown in LIGO-Virgo Data from 2009-2010
• Binary black hole late inspiral: Simulations for gravitational wave observations
• Numerical relativity reaching into post-Newtonian territory: a compact-object binary simulation spanning 350 gravitational-wave cycles
• Dynamical Excision Boundaries in Spectral Evolutions of Binary Black Hole Spacetimes
• Estimating the parameters of non-spinning binary black holes using ground-based gravitational-wave detectors: Statistical errors
• Gravitational waves from BH-NS binaries: Effective Fisher matrices and parameter estimation using higher harmonics
• Gravitational-wave data analysis using binary black-hole waveforms
• Parameter Estimation of Gravitational Waves from Precessing BH-NS Inspirals with higher harmonics
• Parameter estimation on compact binary coalescences with abruptly terminating gravitational waveforms
• Comparison of high-accuracy numerical simulations of black-hole binaries with stationary phase post-Newtonian template waveforms for Initial and Advanced LIGO
• Searching for binary coalescences with inspiral templates: Detection and parameter estimation
• Systematic errors in measuring parameters of non-spinning compact binary coalescences with post-Newtonian templates

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