Testing consistency of cosmological parameters in spatially flat ΛCDM model from observational data in different redshift regions

Abstract

The Hubble tension has become the most significant crisis in modern cosmology, suggesting that the [Formula: see text]CDM model may not accurately describe cosmic evolution. In this paper, we test the spatially flat [Formula: see text]CDM model by comparing constraints on cosmological parameters from observational data across different redshift regions. Utilizing Pantheon[Formula: see text] SN Ia sample, cosmic chronometer data, and baryon acoustic oscillation data, we derive six distinct sets of constraints within the redshift range [Formula: see text]. At the first three and the last redshift points, the observed values of the present matter density parameter, [Formula: see text], are consistent with those from the full dataset within [Formula: see text] confidence level (CL), whereas values at [Formula: see text] and [Formula: see text] are not, and the maximum deviation occurring at [Formula: see text] reaches [Formula: see text]. The data indicate a decreasing trend in the Hubble constant, [Formula: see text], and the SN Ia absolute magnitude, M, with increasing redshift. Despite the variation of both [Formula: see text] and [Formula: see text] across different redshifts, the values of [Formula: see text] remain consistent within [Formula: see text] CL across all regions.