Constraints on Barrow and Tsallis Holographic Dark Energy from DESI DR2 BAO data

TL;DR

This paper constrains Barrow and Tsallis holographic dark energy models using DESI DR2 BAO data, finding they fit observations but are less favored than the standard Lambda Cold Dark Matter model.

Contribution

It provides observational constraints on two new holographic dark energy models incorporating Barrow and Tsallis entropies using recent cosmological data.

Findings

Both models are consistent with observational data.

Neither model alleviates the H0 tension.

Models are less favored than Lambda CDM based on information criteria.

Abstract

Barrow and Tsallis Holographic Dark Energy (HDE) are two recently proposed extensions of the standard HDE framework, incorporating generalized corrections to horizon entropy through the use of Barrow and Tsallis entropies. Tsallis entropy arises from non-extensive statistical phenomena which account for long-range correlations and deviations from additivity, while Barrow entropy emerges from quantum-gravitational effects on the horizon geometry, associated with fractal modifications and deformations. At the cosmological level, both scenarios lead to the same equations, nevertheless the involved parameters obey different theoretical bounds. In this work, we use observational data from Supernova Type Ia (SNIa), Cosmic Chronometers (CC) and Baryonic acoustic oscillations (BAO), including the recently released DESI DR2 dataset, to place constraints on both scenaria. We show that both can be in agreement with observations, although they cannot alleviate the $H_0$ tension. However, applying information criteria we deduce that both of them are not favoured comparing to $\Lambda$CDM concordance cosmological paradigm.