On a possible cosmological evolution of galaxy cluster Y_X−Y_SZE scaling relation

An important result from self-similar models that describe the process of galaxy cluster formation is the simple scaling relation Y_SZED_A²/C_XSZEY_X= C. In this ratio, Y_SZE is the integrated Sunyaev-Zel'dovich effect flux of a cluster, its x-ray counterpart is Y_X, C_XSZE and C are constants and D_A 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 Y_SZED_A²/C_XSZEY_X 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 Y_SZED_A²/C_XSZEY_X ratio in an useful cosmological tool to determine cosmological parameters.