Rare Kaon Decays and ϵK: Theory Prediction

The Rare Kaon decays , , KL→π0ℓ+ℓ− and ϵK play an important role in the phenomenology of the Standard Model and its extensions. They are very sensitive to high energy scales and can be predicted with remarkable precision. In this talk, I give a summary of the theory prediction and present the results of our recent calculations: the NLO electroweak corrections to the top-quark contribution to the decays and the NNLO QCD corrections to the charm-top-quark contribution to ϵK.