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Standard-model prediction of ε_K with manifest CKM unitarity

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arxiv 1911.06822 v1 pith:VBLM6H4Q submitted 2019-11-15 hep-ph hep-lat

Standard-model prediction of ε_K with manifest CKM unitarity

classification hep-ph hep-lat
keywords epsilonpredictionstandard-modelcharm-quarkcontributionrelatedshort-distanceuncertainties
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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The parameter $\epsilon_K$ describes CP violation in the neutral kaon system and is one of the most sensitive probes of new physics. The large uncertainties related to the charm-quark contribution to $\epsilon_K$ have so far prevented a reliable standard-model prediction. We show that CKM unitarity enforces a unique form of the $|\Delta S = 2|$ weak effective Lagrangian in which the short-distance theory uncertainty of the imaginary part is dramatically reduced. The uncertainty related to the charm-quark contribution is now at the percent level. We present the updated standard-model prediction $\epsilon_K = 2.16(6)(8)(15) \times 10^{-3}$, where the errors in brackets correspond to QCD short-distance and long-distance, and parametric uncertainties, respectively.

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Cited by 6 Pith papers

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