Constraining the dark energy models using Baryon Acoustic Oscillations: An approach independent of $H_0 \cdot r_d$

Understand

The $H_0$ tension and the accompanying $r_d$ tension are a hot topic in current cosmology.

• In order to remove the degeneracy between the Hubble parameter $H_0$ and the sound horizon scale $r_d$ from the Baryon Acoustic Oscillations (BAO) datasets, we redefine the likelihood by marginalizing over the $H_0 \cdot r_d$ parameter and then we perform full Bayesian analysis for different models of dark energy (DE).
• We find that our uncalibrated by early or late physics {datasets cannot} constrain the DE models properly without further assumptions.
• By adding the type IA supernova dataset, the models are constrained better with smaller errors on the DE parameters.