Late-Time constraints on Interacting Dark Energy: Analysis independent of H₀, rd and MB

A possible interaction between cold dark matter and dark energy, corresponding to a well-known interacting dark energy model discussed in the literature within the context of resolving the Hubble tension, has been investigated. We put constraints on it in a novel way, by creating new likelihoods with an analytical marginalization over the Hubble parameter H₀, the sound horizon rd, and the supernova absolute magnitude MB. Our aim is to investigate the impacts on the coupling parameter of the interacting model, ξ, and the equation of state of dark energy w and the matter density parameter Ωm,0. The late-time cosmological probes used in our analysis include the PantheonPlus (calibrated and uncalibrated), Cosmic Chronometers, and Baryon Acoustic Oscillations samples and the Pantheon for comparison. Through various combinations of these datasets, we demonstrate hints of up to 2σ deviation from the standard Λ cold dark matter model.