A More Accurate and Competitive Estimative of $H_0$ in Intermediate Redshifts

TL;DR

This paper refines the measurement of the Hubble Constant at intermediate redshifts by addressing systematic uncertainties and the impact of galaxy cluster sample selection, resulting in a value consistent with global measurements.

Contribution

It provides a more accurate and robust estimate of $H_0$ at intermediate redshifts, correcting previous methods by analyzing the influence of galaxy cluster samples and systematic uncertainties.

Findings

Exclusion of galaxy cluster sample significantly alters $H_0$ results.

New $H_0$ estimate is 68.00 ± 2.20 km s$^{-1}$ Mpc$^{-1}$, aligning with CMB and other measurements.

Results demonstrate the importance of sample selection and systematic error analysis.

Abstract

In order to clarify the tension between estimates of the Hubble Constant ($H_0$) from local ($z \ll 1$) and global ($z \gg 1$) measurements, Lima and Cunha (LC) proposed a new method to measure $H_0$ in intermediate redshifts ($z \approx 1$), which were obtained $H_0 = 74.1 \pm 2.2$ km s$^{-1} $Mpc$^{-1}$ ($1 \sigma$), in full agreement to local measurements via Supernovae/Cepheid dataset. However, Holanda \textit{et al.} (2014) affirm that a better understanding of the morphology of galaxy clusters in LC framework is needed to a more robust and accurate determination of $H_0$. Moreover, that kind of sample has been strongly questioned in the literature. In this context, (i) we investigated if the sample of galaxy clusters used by LC has a relevant role in their results, then (ii) we perform a more accurate and competitive determination of $H_0$ in intermediate redshifts, free of unknown systematic uncertainties. First, we found that the exclusion of the sample of galaxy clusters from the determination initially proposed by LC leads to significantly different results. Finally, we performed a new determination in $H_0$, where we obtained $H_0 = 68.00 \pm 2.20$ km s$^{-1}$ Mpc$^{-1}$ ($1 \sigma$) with statistical and systematic errors and $H_0 = 68.71^{+1.37}_{-1.45}$ km s$^{-1}$ Mpc$^{-1}$ ($1 \sigma$) with statistical errors only. Contrary to those obtained by LC, these values are in full harmony with the global measurements via Cosmic Microwave Background (CMB) radiation and to the other recent estimates of $H_0$ in intermediate redshifts.