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In this paper, we investigate the interaction between early dark energy (EDE)and cold dark matter, proposing a Yukawa-coupled dark sector model to mitigatecosmological tensions. We utilize the EDE component in the coupled model torelieve the Hubble tension, while leveraging the interaction between darkmatter and dark energy to alleviate the large-scale structure tension. Theinteraction takes the form of Yukawa coupling, which describes the couplingbetween scalar field and fermion field. We employed various cosmologicaldatasets, including cosmic microwave background radiation, baryon acousticoscillations, Type Ia supernovae, the local distance-ladder data (SH0ES), andthe Dark Energy Survey Year-3 data, to analyze our novel model. Using theMarkov Chain Monte Carlo method, our findings reveal that the constrained valueof $H_0$ obtained from our new model at a 68\% confidence level is$72.21^{+0.82}_{-0.69}$ km/s/Mpc, effectively resolving the Hubble tension.Similar to the EDE model, the coupled model yields the $S_8$ value that stillsurpasses the result of the $\Lambda$CDM model. Nevertheless, the best-fitvalue of $S_8$ obtained from our new model is 0.817, which is lower than theEDE model's result of 0.8316. Consequently, although our model fails to fullyresolve the large-scale structure tension, it mitigates the adverse effect ofthe original EDE model.

The Yukawa-Coupled Dark Sector Model and Cosmological Tensions