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We provide a new scaling relation using a sample of clusters from a full re-observation by the X-ray Chandra telescope of the Planck ESZ catalogue, and compare it to the results of the Planck collaboration obtained from a smaller sample of XMM-Newton observations. We discuss the expected effects of the change of the scaling relation parameters on the cosmological constraints obtained from the Planck cluster sample, and the remaining steps to obtain final constraints from this new scaling relation.

We provide a new scaling relation between YSZ, the integrated Sunyaev-Zeldovich signal and M500YX, the cluster mass derived from X-ray observations, using a sample of clusters from the Planck Early Sunyaev-Zeldovich (ESZ) catalogue observed in X-rays by Chandra, and compare it to the results of the Planck collaboration obtained from XMM-Newton observations of a subsample of the ESZ. We calibrated a mass bias on a subset of the Planck cosmological cluster sample using published weak-lensing data from the Canadian Cluster Cosmology Project (CCCP) and Multi Epoch Nearby Cluster Survey (MENeaCS), for the new scaling relation as well as that from the Planck collaboration. We propose a novel method to account for selection effects and find a mass bias of (1 − b) = 0.89 ± 0.04 for the Chandra-calibrated scaling relation, and (1 − b) = 0.76 ± 0.04 for the XMM-Newton-calibrated scaling relation. We applied the scaling relations we derived to the full Planck cosmological cluster sample and obtain new constraints on the cosmological parameters. We find identical constraints regardless of the X-ray sample used, with σ8 = 0.77 ± 0.02, Ωm = 0.31 ± 0.02, and S8 ≡ σ8 √(Ωm/0.3) = 0.78 ± 0.02. We also provide constraints with a redshift evolution of the scaling relation fitted from the data instead of fixing it to the self-similar value. We find a redshift evolution significantly deviating from the self-similar value, leading to a higher value of S8 = 0.81 ± 0.02. We compare our results to those from various cosmological probes, and find that our S8 constraints are competitive with the tightest constraints from the literature. When assuming a self-similar redshift evolution, our constraints are in agreement with most late-time probes and in tension with constraints from the cosmic microwave background (CMB) primary anisotropies. When relaxing the assumption of redshift evolution and fitting it to the data, we find no significant tension with results from either late-time probes or the CMB. [ABSTRACT FROM AUTHOR]