Determining the Hubble constant from Hubble parameter measurements
Yun Chen, Suresh Kumar, Bharat Ratra
TL;DR
The paper analyzes 28 $H(z)$ measurements across $0.07 \le z \le 2.3$ to infer the present-day $H_0$ under four cosmological scenarios: spatially flat and non-flat $Λ$CDM, $X$CDM, and $φ$CDM. Using CosmoMC to perform Markov Chain Monte Carlo marginalization, it reports $H_0$ values around $68$ km s$^{-1}$ Mpc$^{-1}$ with modest uncertainties, aligning with CMB/BAO and median-statistics results but accommodating higher local measurements within 2σ. The analysis includes robustness checks by removing two high-weight subsets (Moresco 2012 and Busca 2013), which yield small shifts in $H_0$, indicating the result's resilience to data choices. Overall, the $H(z)$-based approach provides an independent, complementary constraint on $H_0$ that supports a low to moderate expansion rate and is consistent with a standard three-neutrino cosmology.
Abstract
We use 28 Hubble parameter, $H(z)$, measurements at intermediate redshifts $0.07 \leq z \leq 2.3$ to determine the present-day Hubble constant $H_0$ in four cosmological models. We measure $H_0 = 68.3^{ +2.7}_{ -2.6 }, 68.4^{ +2.9 }_{ -3.3 }, 65.0^{ +6.5 }_{ -6.6 }$ and $ 67.9^{ +2.4}_{-2.4}$ km s${}^{-1}$ Mpc${}^{-1}$ (1$σ$ errors) in the $Λ$CDM (spatially flat and non-flat), $ω$CDM and $φ$CDM models, respectively. These measured $H_0$ values are more consistent with the lower values determined from recent cosmic microwave background and baryon acoustic oscillation data, as well as with that found from a median statistics analysis of Huchra's compilation of $H_0$ measurements,but include the higher local measurements of $H_0$ within the 2$σ$ confidence limits.