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Standard-model prediction of $\epsilon_K$ with manifest CKM unitarity

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

Joachim Brod , Martin Gorbahn , Emmanuel Stamou This is my paper · ORCID
classification hep-phhep-lat
keywords epsilonpredictionstandard-modelcharm-quarkcontributionrelatedshort-distanceuncertainties
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

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 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The flavour of SU(15) composite quarks and leptons

    hep-ph 2026-07 conditional novelty 6.0 of 10

    A hand-imposed hierarchical texture for two flavour spurions fits the SM quark/lepton masses and CKM, and the same spurions make the electron EDM and K0-Kbar0 mixing the strongest probes of the SU(15) preon scale.

  2. A CKM blind spot: probing $b$-column rescaling with kaons

    hep-ph 2026-07 accept novelty 6.0 of 10

    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%.

  3. On the Interplay of Constraints from $B_s$, $D$, and $K$ Meson Mixing in $Z^\prime$ Models with Implications for $b\to s \nu\bar\nu$ Transitions

    hep-ph 2024-12 conditional novelty 6.0 of 10

    In Z' models with suppressed B_s mixing, SU(2)L and SMEFT RG correlations tie the B_s, D, and K sectors together and predict B to K(K*) nu nu enhancements of up to 20% when b to s mu mu rates are suppressed.

  4. 2024 Update on $\varepsilon_K$ with lattice QCD inputs

    hep-lat 2024-12 conditional novelty 4.0 of 10

    Using 2024 inputs and exclusive |V_cb|, the standard model predicts only about 65% of the measured |epsilon_K|, a gap that vanishes when inclusive |V_cb| is used.

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