Investigating cosmic distance duality and dark energy evolution through intermediate and high-z probes

TL;DR

This study tests the cosmic distance duality relation using various parameterizations and observational data, finding no significant violations and slight preferences in Hubble constant estimates.

Contribution

It introduces multiple parameterizations to investigate duality deviations and provides combined observational constraints, enhancing understanding of dark energy evolution.

Findings

No significant violation of the duality relation detected.

Model selection favors flat cosmological scenarios.

Different data sets yield slightly different H0 estimates.

Abstract

We investigate deviations from the cosmic distance duality relation adopting model-dependent and -independent approaches using i) a Taylor expansion, ii) a power-law parameterization, iii) a logarithmic correction, iv) a (2;1) Pad\'e polynomial and v) a second order Chebyshev parameterization. We derive constraints on all parameters using observational Hubble data, galaxy clusters, type Ia supernovae, DESI data and gamma-ray bursts. Through Monte-Carlo Markov chain analyses adopting the Metropolis Hastings algorithm, we find no significant violation of duality, then model selection criteria favor flat scenarios even though a slight curvature is not totally ruled out. For the $H_0$ tension we find a preference at $1$-$\sigma$ for $h^R_0=0.730\pm0.010$ from supernovae when dropping DESI data and for $h^P_0=0.674\pm 0.005$ from Planck when using DESI and gamma-ray bursts.