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Low-redshift measurement of the sound horizon through gravitational time-delays

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(2019)cite arxiv:1905.12000Comment: A&A subm. 28/05/2019, 6 pages, 3 figures.

Abstract

The Cosmic Microwave Background (CMB) yields an inference on the matter sound horizon, within the Standard Model. Independent, direct measurements of the sound horizon are then a probe of possible deviations from the Standard Model. We aim at measuring the sound horizon $r_s$ from low-redshift indicators, completely independent from CMB inference. We use the measured product $H(z)r_s$ from Baryon Acoustic Oscillations (BAO), plus Supernovae~Ia to constrain $H(z)/H_0$ and time-delay lenses analysed by the H0LiCOW collaboration to anchor cosmological distances ($H_0^-1$). Additionally, we investigate the influence of adding a sample of higher-redshift quasars with standardisable UV-Xray luminosity distances. We adopt polynomial expansions in $H(z)$ or in comoving distances, so that our inference is completely independent of any underlying cosmological model. Our measurements are independent of Cepheids and systematics from peculiar motions, to within percent-level accuracy. The inferred sound horizon $r_s$ varies between $(133 8)$~Mpc and $(138 5)$~Mpc across different models. The discrepancy with CMB measurements is robust against model choice. Statistical uncertainties are comparable to systematics. The combination of time-delay lenses, supernovae and BAO yields a cosmology-independent (and Cepheid-calibration-independent) distance ladder, and a CMB-independent measurement of $r_s.$ These cosmographic measurements are then a competitive test of the Standard Model, regardless of hypotheses on the underlying cosmology.

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