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Electroweak Corrections to the Charm-Top-Quark Contribution to $\epsilon_K$
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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.
Forward citations
Cited by 2 Pith papers
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A two-loop scheme-conversion calculation shifts and tightens the world average of the kaon bag parameter to 0.7627(60), updating the Standard Model prediction for epsilon_K.
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A CKM blind spot: probing $b$-column rescaling with kaons
A uniform rescaling of the CKM b-column is invisible to B-physics-only fits, and kaon data already bound it to −4%…+4% (2σ), with projections reaching ~2%.
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