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Updated Standard Model Prediction for $K \to \pi \nu \bar{\nu}$ and $\epsilon_K$

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arxiv 2105.02868 v1 pith:6MSS4JL7 submitted 2021-05-06 hep-ph hep-ex

classification hep-phhep-ex
keywords epsilonpredictiondecaymodelmodesrarestandardstandard-model
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The rare $K \to \pi \nu \bar{\nu}$ decay modes and the parameter $\epsilon_K$ that measures CP violation in Kaon mixing are sensitive probes of physics beyond the standard model. In this article we provide the updated standard-model prediction for the rare decay modes in detail, and summarise the status of standard-model prediction of $\epsilon_K$. We find $\text{BR}(K^+ \to \pi^+ \nu \bar \nu) = 7.73(61) \times 10^{-11}$ and $\text{BR}(K_L \to \pi^0 \nu \bar \nu) = 2.59(29) \times 10^{-11}$. The uncertainties are dominated by parametric input.

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Forward citations

Cited by 6 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. Challenging Majorana neutrino effects in $B\to K^{(\ast)}\nu\nu$ and $K\to \pi\nu\nu$ decays

    hep-ph 2026-07 conditional novelty 6.0 of 10

    Belle-II's B→Kνν excess cannot be explained by dimension-7 lepton-number-violating SMEFT operators without fine-tuning neutrino masses, while a light sterile-neutrino extension can, with testable decay spectra.

  3. 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%.

  4. Radiative generation of chiral vector operators in $b\to s \nu\bar{\nu}$ transition

    hep-ph 2026-01 conditional novelty 6.0 of 10

    Minimal one-loop models that generate both chiral vector operators for b→sνν̄ are systematically classified but cannot quantitatively explain the Belle II anomaly.

  5. Feasibility Study of Lepton Number Violation in Rare $B$ and $K$ Meson Decays

    hep-ph 2026-01 conditional novelty 6.0 of 10

    Dimension-7 lepton-number-violating operators can make B→Kνν and K→πνν observable only in flavor-hierarchical scenarios (first lepton generation decoupled) or with a cutoff near 100-200 GeV; otherwise baryon washout a...

  6. Prospects for $K_{L}\to\pi^{0}\nu\bar{\nu}$, $K_S\to\mu^+\mu^-$, $K_L\to\pi^0 \ell^+\ell^-$ and $\varepsilon^{\prime}/\varepsilon$ after the new $K^{+}\to\pi^{+}\nu\bar{\nu}$ result from NA62

    hep-ph 2026-07 conditional novelty 5.0 of 10

    A Z' model with both left- and right-handed sbar-d couplings can enhance K_L→π0ννbar by an order of magnitude while keeping K+→π+ννbar and ε_K SM-like.

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