Calibration Uncertainty's Impact on Gravitational-Wave Observations

Essick, Reed

doi:10.48550/arxiv.2202.00823

Cited by 2 publications

(2 citation statements)

References 55 publications

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“…All three assumptions are simplifications and hence pose a caveat to our analyses. Recent work suggests that systematic waveform errors will have the largest impact on astrophysical inference of the nuclear EOS while detector calibration errors still play a crucial but subdominant role [60][61][62]. A future avenue we will explore is understanding how dynamical tidal information can be incorporated into the joint inference of the astrophysical population and the equation of state [63], especially in the presence of correlated parameters [64] and waveform systematics [61].…”

Section: Discussionmentioning

confidence: 99%

Prospects for distinguishing dynamical tides in inspiralling binary neutron stars with third generation gravitational-wave detectors

Williams,

Pratten,

Schmidt

2022

Preprint

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Tidal effects in gravitational-wave (GW) observations from binary neutron star mergers have the potential to probe ultra-dense matter and shed light on the unknown nuclear equation of state of neutron stars. Tidal effects in inspiralling neutron star binaries become relevant at GW frequencies of a few hundred Hz and require detectors with exquisite high-frequency sensitivity. Third generation GW detectors such as the Einstein Telescope or Cosmic Explorer will be particularly sensitive in this high-frequency regime, allowing us to probe neutron star tides beyond the adiabatic approximation.Here we assess whether dynamical tides can be measured from a neutron star inspiral. We find that the measurability of dynamical tides depends strongly on the neutron star mass and equation of state. For a semi-realistic population of 10,000 inspiralling binary neutron stars, we conservatively estimate that on average O(50) binaries will have measurable dynamical tides. As dynamical tides are characterised not only by the star's tidal deformability but also by its fundamental (f -) mode frequency, they present a possibility of probing higher-order tidal effects and test consistency with quasi-universal relations. For a GW170817-like signal in a third generation detector network, we find that the stars' f -mode frequencies can be measured to within a few hundred Hz.

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Section: Discussionmentioning

confidence: 99%

Prospects for distinguishing dynamical tides in inspiralling binary neutron stars with third generation gravitational-wave detectors

Williams,

Pratten,

Schmidt

2022

Preprint

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“…Alternatively, Ref. [16] studies situations in which the marginalization may be carried out analytically, although further study is needed before that may be practical.…”

Section: A Rate-marginalized Target Distributionmentioning

confidence: 99%

Precision Requirements for Monte Carlo Sums within Hierarchical Bayesian Inference

Farr¹

2022

Preprint

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Hierarchical Bayesian inference is often conducted with estimates of the target distribution derived from Monte Carlo sums over samples from separate analyses of parts of the hierarchy or from mock observations used to estimate sensitivity to a target population. We investigate requirements on the number of Monte Carlo samples needed to guarantee the estimator of the target distribution is precise enough that it does not affect the inference. We consider probabilistic models of how Monte Carlo samples are generated, showing that the finite number of samples introduces additional uncertainty as they act as an imperfect encoding of the components of the hierarchical likelihood. Additionally, we investigate the behavior of estimators marginalized over approximate measures of the uncertainty, comparing their performance to the Monte Carlo point estimate. We find that correlations between the estimators at nearby points in parameter space are crucial to the precision of the estimate. Approximate marginalization that neglects these correlations will either introduce a bias within the inference or be more expensive (require more Monte Carlo samples) than an inference constructed with point estimates. We therefore recommend that hierarchical inferences with empirically estimated target distributions use point estimates.

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Calibration Uncertainty's Impact on Gravitational-Wave Observations

Cited by 2 publications

References 55 publications

Prospects for distinguishing dynamical tides in inspiralling binary neutron stars with third generation gravitational-wave detectors

Prospects for distinguishing dynamical tides in inspiralling binary neutron stars with third generation gravitational-wave detectors

Precision Requirements for Monte Carlo Sums within Hierarchical Bayesian Inference

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