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

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 YSZED(A)(2)/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 Lambda CDM model for D-A, the constant C from the first step and the Planck prior on Omega(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.

Automated summary

In this paper, a self-consistent test for estimating the Hubble constant using galaxy cluster and type Ia supernovae observations is proposed. The method involves obtaining the observational value of the galaxy cluster scaling-relation and using it along with SNe Ia observations to estimate H-0, in agreement with recent results. A comparison is also made with a method using hydrodynamical simulations of massive galaxy clusters to obtain the C parameter.