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

• Published in: The European physical journal. C, Particles and fields Particles and fields, 2023-04, Vol.83 (4), p.274-8, Article 274
• Main Authors: Bora, Kamal, Holanda, R. F. L.
• Format: Article
• Language: English
• Subjects: Astronomy; Astrophysics and Cosmology; Big Bang theory; Consistency tests; Elementary Particles; Galactic clusters; Hadrons; Heavy Ions; Hubble constant; Measurement Science and Instrumentation; Nuclear Energy; Nuclear Physics; Parameters; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Regular Article - Theoretical Physics; String Theory; Supernovae
• ISSN: 1434-6052; 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-023-11424-y

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 Y SZE D A 2 / C XSZ Y X = 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 D A , the constant C from the first step and the Planck prior on Ω M parameter, we obtain H 0 by using the galaxy cluster data with z > 0.1 . As a result, we obtain H 0 = 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.