Exploration of interacting dynamical dark energy model with interaction term including the equation-of-state parameter: alleviation of the $H_{0}$ tension
Rui-Yun Guo, Lu Feng, Tian-Ying Yao, and Xing-Yu Chen

TL;DR
This paper investigates an interacting dynamical dark energy model with a variable equation-of-state parameter, showing it can influence the Hubble constant estimates and potentially alleviate the H0 tension using current cosmological data.
Contribution
It introduces a new interaction term including a varying equation-of-state parameter and demonstrates its impact on cosmological parameter fitting and H0 tension.
Findings
Including a variable w in the interaction term affects parameter correlations.
The model with variable w predicts a lower H0, reducing tension but not eliminating it.
Additional parameters can further decrease the H0 discrepancy, yet it remains around 3 sigma.
Abstract
We explore a scenario of interacting dynamical dark energy model with the interaction term including the varying equation-of-state parameter . Using the data combination of the cosmic microwave background, the baryon acoustic oscillation, and the type Ia supernovae, to global fit the interacting dynamical dark energy model, we find that adding a factor of the varying in the function of can change correlations between the coupling constant and other parameters, and then has a huge impact on the fitting result of . In this model, the fitting value of is lower at the level than the direct measurement value of . Comparing to the case of interacting dynamical dark energy model with excluding , the model with including the constant is more favored by the current mainstream observation. To obtain higher fitting values…
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