The Hubble constant from galaxy cluster scaling-relation and SNe Ia observations: a consistency test

Bora, Kamal (2023) The Hubble constant from galaxy cluster scaling-relation and SNe Ia observations: a consistency test. The European Physical Journal C, 83 (4). p. 274. ISSN 1434-6044

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Abstract

In this paper, we propose a self-consistent test for a Hubble constant estimate using galaxy cluster and type Ia supernovae (SNe Ia) observations. The approach consists, in a first step, of obtaining the observational value of the galaxy cluster scaling-relation YSZEDA2/CXSZYX=C by combining the X-Ray and SZ observations of galaxy clusters at low redshifts (z< 0.1) from the first Planck mission all-sky data set (0.044 ≤ z≤ 0.444), along with SNe Ia observations and making use of the cosmic distance duality relation validity. Then, by considering a flat Λ CDM model for DA, the constant C from the first step and the Planck prior on Ω M parameter, we obtain H by using the galaxy cluster data with z> 0.1. As a result, we obtain H0=73.014-6.688+7.435 km/s/Mpc, in full agreement with the latest results from HST + SH0ES team. We also compare our method with that one where the C parameter is obtained from hydrodynamical simulations of massive galaxy clusters.

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