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Standard-model prediction of $\epsilon_K$ with manifest CKM unitarity
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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.
Forward citations
Cited by 6 Pith papers
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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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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
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.
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Natural complex plane for kaon CKM data: framework, status and future
The natural complex plane for kaon CKM constraints is spanned by A^2(1-ρ̂) and A^2η̂; current data allow four islands, and future measurements will reduce them to one or expose new physics.
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2024 Update on $\varepsilon_K$ with lattice QCD inputs
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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