Impact of calibration uncertainties on Hubble constant measurements from gravitational-wave sources

Kavli Affiliate: Salvatore Vitale

| First 5 Authors: Yiwen Huang, Hsin-Yu Chen, Carl-Johan Haster, Ling Sun, Salvatore Vitale

| Summary:

Gravitational-wave (GW) detections of electromagnetically bright compact
binary coalescences can provide an independent measurement of the Hubble
constant $H_0$. In order to obtain a measurement that could help arbitrate the
existing tension on $H_0$, one needs to fully understand any source of
systematic biases for this approach. In this study, we aim to understand the
impact of instrumental calibration errors (CEs) on the measurements of the
luminosity distance, $D_L$, and the inferred $H_0$ value. We simulate binary
neutron star mergers (BNSs), as detected by a network of Advanced LIGO and
Advanced Virgo interferometers at their design sensitivity. We artificially add
CEs equal to exceptionally large values experienced in LIGO-Virgo’s third
observing run (O3). We find that for individual BNSs at a network
signal-to-noise ratio of 50, the systematic errors on $D_L$ – and hence $H_0$ –
are still smaller than the statistical uncertainties. The biases become more
significant when we combine multiple events to obtain a joint posterior on
$H_0$. In the rather unrealistic case that the data around each detection is
affected by the same CEs corresponding to the worst offender of O3, the true
$H_0$ value would be excluded from the 90% credible interval after we combine
$sim$40 sources. If instead, 10% of the sources suffer from severe CEs, the
true value of $H_0$ is included in the 90% credible interval even after 100
sources.

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