# Observational constraints on interacting Tsallis holographic dark energy models

## TL;DR

This study evaluates the Tsallis holographic dark energy model with interactions against multiple observational datasets, finding it incompatible with current data and analyzing its stability and effects on cosmic microwave background spectra.

## Contribution

It provides the first comprehensive observational constraints on the interacting Tsallis holographic dark energy model using diverse cosmological data.

## Key findings

- The THDE model is not supported by observational data.
- The model causes suppression of the CMB spectrum at small K-modes.
- Stability analysis shows varying behavior depending on interaction.

## Abstract

In this paper, we investigate a recent proposed model - so called the Tsallis holographic dark energy (THDE) model. In this case, we consider the non-gravitational and phenomenological interaction between dark sectors. We fit the free parameters of the model using Pantheon Supernovae Type Ia data, Baryon Acoustic Oscillations, Cosmic Microwave Background, Gamma-Ray burst and the the local value of the Hubble constant. We examine the THDE model to check its compatibility with observational data using objective Information Criterion (IC). We find that the THDE model cannot be supported by observational data. Using the Alcock-Paczynski (AP) test we check the deviation of the model compared to $\Lambda$CDM. Surveying the evolution of squared of sound speed $v^2_s$ as an another test we check the stability of the interacting and non-interacting THDE models. In addition, using the modified version of the CAMB package, we observe the suppressing the CMB spectrum at small K-modes and large scale.