WIMPs are the candidate of dark matter in the universe. In this talk, I will talk about elecroweakly intearcting dartk matter. It is well-motivated in particle physics model beyond the standard model. The direct and indirect detection of dark matter and also dark matter sesarches at LHC now give severe constraints on the WIMP models while elecroweakly intearcting dartk matter is still free from them. It is considered that the dark matter may be tested in future experiments. For the purpose, we need to evaulate the prediction more morecisely, and it requires knowledge of thermal processes in the early universe.