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We explore a scenario of interacting dynamical dark energy model with theinteraction term $Q$ including the varying equation-of-state parameter $w$.Using the data combination of the cosmic microwave background, the baryonacoustic oscillation, and the type Ia supernovae, to global fit the interactingdynamical dark energy model, we find that adding a factor of the varying $w$ inthe function of $Q$ can change correlations between the coupling constant$\beta$ and other parameters, and then has a huge impact on the fitting resultof $\beta$. In this model, the fitting value of $H_{0}$ is lower at the $3.54\sigma$ level than the direct measurement value of $H_{0}$ . Comparing to thecase of interacting dynamical dark energy model with $Q$ excluding $w$, themodel with $Q$ including the constant $w$ is more favored by the currentmainstream observation. To obtain higher fitting values of $H_{0}$ and narrowthe discrepancy of $H_{0}$ between different observations, additionalparameters including the effective number of relativistic species, the totalneutrino mass, and massive sterile neutrinos are considered in the interactingdynamical dark energy cosmology. We find that the $H_{0}$ tension can befurther reduced in these models, but is still at the about $3 \sigma$ level.

journal of cosmology and astroparticle physics

Exploration of interacting dynamical dark energy model with interaction  term including the equation-of-state parameter: alleviation of the $H_{0}$  tension