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Model independent $H(z)$ reconstruction using the cosmic inverse distance ladder
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abstract
Recent distance ladder determinations of the Hubble constant $H_0$ disagree at about the $3.5\sigma$ level with the value determined from Planck measurements of the cosmic microwave background (CMB) assuming a $\Lambda$CDM cosmology. This discrepancy has prompted speculation that new physics might be required beyond that assumed in the $\Lambda$CDM model. In this paper, we apply the inverse distance ladder to fit a parametric form of $H(z)$ to baryon acoustic oscillation (BAO) and Type Ia supernova data together with priors on the sound horizon at the end of the radiation drag epoch, $r_d$. We apply priors on $r_d$, based on inferences from either Planck or the Wilkinson Microwave Anistropy Probe (WMAP), and demonstrate that these values are consistent with CMB-independent determinations of $r_d$ derived from measurements of the primordial deuterium abundance, BAO and supernova data assuming the $\Lambda$CDM cosmology. The $H(z)$ constraints that we derive are independent of detailed physics within the dark sector at low redshifts, relying only on the validity of the Friedmann-Robertson-Walker (FRW) metric of General Relativity. For each assumed prior on $r_d$, we find consistency with the inferred value of $H_0$ and the Planck $\Lambda$CDM value and corresponding tension with the distance ladder estimate.
Forward citations
Cited by 12 Pith papers
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Even after rescaling BAO data to prefer H0≈73 km/s/Mpc, none of six tested late-time dark-energy models can resolve the Hubble tension once unanchored SNeIa and CMB geometry are included.
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Using CMB, supernova, and DESI BAO data, this study finds that inflationary parameters n_s and A_s remain stable (shifts under 1%) when SDSS BAO data is replaced by DESI BAO data across several late-time models.
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Forecast: Euclid-like and SKA-like BAO surveys, combined with Gaussian-process regression, could measure H0 to about 1% precision and discriminate between Planck and Riess values at roughly 5 sigma.
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Running into tension: primordial black holes from ultra-slow-roll inflation, spectral running, and the Hubble tension
EDE models increase inferred α_s from CMB data, strengthening tension with USR PBH models that predict negative running.
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Can the sound horizon-free measurement of $H_0$ constrain early new physics?
Mock galaxy-survey analyses show that sound-horizon-free H0 measurements do not currently rule out BAO-compatible early dark energy models, and LambdaCDM-derived priors can bias the result.
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Interacting dark energy in the early 2020s: a promising solution to the $H_0$ and cosmic shear tensions
An interacting dark energy model with coupling proportional to the dark energy density alleviates the H0 and S8 tensions in Planck 2018 data but is not preferred once BAO and supernova data are included.
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Late Time Dynamical Dark Energy and the CMB-Distance Ladder Tension
The SNIa absolute-magnitude tension between the distance ladder (−19.204) and CMB+ΛCDM (−19.430) is independent of late-time expansion history, and DESI's w0–wa dark-energy hints shift H0 by only ~0.3–0.4 km/s/Mpc.
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Cosmological Viability of Exponential Infrared $f(T)$ Gravity
Exponential IR f(T) gravity Model I alleviates Hubble tension but is disfavoured by combined Planck/ACT/SPT+DESI+Pantheon+ data; Model II is ruled out because background constraints force unphysical shifts in CMB parameters.
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A metric f(R) gravity model with dark energy decaying into dark matter produces a running Hubble constant that tracks the binned supernova decline better than a power law, but the fit is poor and does not resolve the ...
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