Constraining the dark energy models using baryon acoustic oscillations: An approach independent of H ₀·r_d

The H0 tension and the accompanying rd tension are a hot topic in current cosmology. In order to remove the degeneracy between the Hubble parameter H0 and the sound horizon scale rd from the baryon acoustic oscillation (BAO) datasets, we redefined the likelihood by marginalizing over the H0·rd parameter and then we performed a full Bayesian analysis for different models of dark energy (DE). We find that our datasets that are uncalibrated by early or late physics cannot constrain the DE models properly without further assumptions. By adding the type Ia supernova (SNIa) dataset, the models are constrained better with smaller errors on the DE parameters. The two BAO datasets we used -one with angular measurements and one with angular and radial ones, with their covariance -show statistical preferences for different models, with the cold dark matter (CDM) model being the best model for one of them. Adding the Pantheon SNIa dataset with its covariance matrix boosts the statistical preference for the CDM model.