Galaxy cluster Sunyaev-Zel'dovich effect scaling-relation and type Ia supernova observations as a test for the cosmic distance duality relation

In this paper, we propose a new test to the cosmic distance duality relation (CDDR), D_L=D_A(1+z)^2 where D_Land D_Aare the luminosity and angular diameter distances, respectively. The data used correspond to 61 Type Ia Supernova luminosity distances and Y_{SZE}-Y_Xmeasurements of 61 galaxy clusters obtained by the {\it Planck} mission and the deep XMM-Newton X-ray data, where Y_{SZE}is the integrated comptonization parameter...