We constrain interacting dark matter and dark energy (IDMDE) models using a450-degree-square cosmic shear data from the Kilo Degree Survey (KiDS) and theangular power spectra from Planck's latest cosmic microwave backgroundmeasurements. We revisit the discordance problem in the standard Lambda colddark matter ($\Lambda$CDM) model between weak lensing and Planck datasets andextend the discussion by introducing interacting dark sectors. The IDMDE modelsare found to be able to alleviate the discordance between KiDS and Planck aspreviously inferred from the $\Lambda$CDM model, and moderately favored by acombination of the two datasets.
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