On a possible cosmological evolution of galaxy cluster YX−YSZE scaling relation

An important result from self-similar models that describe the process of galaxy cluster formation is the simple scaling relation YSZEDA2/CXSZEYX= C. In this ratio, YSZE is the integrated Sunyaev-Zel'dovich effect flux of a cluster, its x-ray counterpart is YX, CXSZE and C are constants and DA is the angular diameter distance to the cluster. In this paper, we consider the cosmic distance duality relation validity jointly with type Ia supernovae observations plus 61 YSZEDA2/CXSZEYX measurements as reported by the Planck Collaboration to explore if this relation is constant in the redshift range considered (z<0.5). No one specific cosmological model is used. As basic result, although the data sets are compatible with no redshift evolution within 2σ c.l., a Bayesian analysis indicates that other C(z) functions analyzed in this work cannot be discarded. It is worth to stress that the observational determination of an universal C(z) function turns the YSZEDA2/CXSZEYX ratio in an useful cosmological tool to determine cosmological parameters.