Dark energy and matter interacting scenario to relieve H 0 and S 8 tensions*

Abstract We consider a new cosmological model (called CDM), in which the vacuum energy interacts with matter and radiation, and test this model using the current cosmological observations. Using the CMB+BAO+SN (CBS) dataset to constrain the model, we find that and tensions are relieved to and , respectively. However, in this case, the CDM model is not favored by the data, compared with ΛCDM. We find that when the and data are added to the data combination, the situation is significantly improved. In the CBS+ case, the model relieves the tension to , and the model is favored over ΛCDM. In the CBS+ + case, we obtain a synthetically best situation, in which the and tensions are relieved to and , respectively. In this case, the model is most favored by the data. Therefore, this cosmological model can greatly relieve the tension and simultaneously effectively alleviate the tension.