Electroweak Corrections to the Charm-Top-Quark Contribution to ${\epsilon }_K$

Abstract

We calculate the leading-logarithmic and next-to-leading-logarithmic electroweak corrections to the charm-top-quark contribution to the effective $|\Delta S|=2$ Lagrangian, relevant for the parameter ${\epsilon }_K$. We find that these corrections lead to a $-0.5\%$ shift in the corresponding Wilson coefficient. Moreover, our calculation removes an implicit ambiguity in the standard-model prediction of ${\epsilon }_K$, by fixing the renormalization scheme of the electroweak input parameters.

arXiv comment12 pages, 2 figures

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