A Hubble Constant Estimate from Galaxy Cluster and type Ia SNe Observations

TL;DR

This paper estimates the Hubble constant using galaxy cluster and Type Ia supernova data with minimal assumptions, achieving a measurement with about 9% error that could help resolve the Hubble tension.

Contribution

It introduces a new estimator for H_0 based on geometrical distances and combines galaxy cluster and supernova data under minimal cosmological assumptions.

Findings

H_0 = 67.22 ± 6.07 km/s/Mpc at 1σ confidence

Error margin around 9%, indicating room for improvement

Future data can refine the Hubble constant measurement

Abstract

In this work, we constrain the Hubble constant parameter, $H_0$, using a combination of the Pantheon sample and galaxy clusters (GC) measurements from minimal cosmological assumptions. Assuming the validity of the cosmic distance duality relation, an estimator is created for $H_0$ that only depends on simple geometrical distances, which is evaluated from Pantheon and a GC angular diameter distance sample afterward. The statistical and systematic errors in GC measurements are summed in quadrature in our analysis. We find $H_0 = 67.22 \pm 6.07$ ${\rm km \ s^{-1} Mpc^{-1}}$ in $1\sigma$ confidence level (C.L.). This measurement presents an error of around 9\%, showing that future and better GC measurements can shed light on the current Hubble tension