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

  title={Updated Standard Model Prediction for \$K \to \pi \nu \bar\{\nu\}\$ and \$\epsilon\_K\$},
  author={Joachim Brod and Martin Gorbahn and Emmanuel Stamou},
  journal={Proceedings of 19th International Conference on B-Physics at Frontier Machines — PoS(BEAUTY2020)},
  • J. BrodM. GorbahnEmmanuel Stamou
  • Published 6 May 2021
  • Physics
  • Proceedings of 19th International Conference on B-Physics at Frontier Machines — PoS(BEAUTY2020)
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… 
8 Citations

Tables from this paper

Strange processes in general two Higgs doublet model

In the general two Higgs doublet model (g2HDM) that has extra Yukawa couplings, we analyze their New Physics (NP) contributions to kaon mixing parameter εK, direct CP violation parameter ε′/ε, and

Anatomy of kaon decays and prospects for lepton flavour universality violation

The kaon sector is characterised by several processes which are under active investigation across different experiments. In this work, we present the global picture that emerges from a study of the

On the superiority of the $$|V_{cb}|-\gamma $$ plots over the unitarity triangle plots in the 2020s

  • A. Buras
  • Physics
    The European Physical Journal C
  • 2022
<jats:p>The unitarity triangle (UT) plots played already for three decades an important role in the tests of the Standard Model (SM) and the determination of the CKM parameters. As of 2022, among the

The exclusive vision of rare K and B decays and of the quark mixing in the standard model

The most common predictions for rare K and B decay branching ratios in the Standard Model in the literature are based on the CKM elements |Vcb|\documentclass[12pt]{minimal} \usepackage{amsmath}

New physics in s → d semileptonic transitions: rare hyperon vs. kaon decays

We investigate the potential of rare hyperon decays to probe the short distance structure in the s → dv v ¯ $$ s\to dv\overline{v} $$ and s → dℓ + ℓ − transitions. Hyperon decays into neutrinos B 1 →

B-anomalies from flavorful U(1) $$'$$ ′ extensions, safely

$$U(1)^\prime $$ U ( 1 ) ′ extensions of the standard model with generation-dependent couplings to quarks and leptons are investigated as an explanation of anomalies in rare B -decays, with an

Lepton universality and lepton flavor conservation tests with dineutrino modes

<jats:p><jats:inline-formula><jats:alternatives><jats:tex-math>$$SU(2)_L$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow>

Interplay of dineutrino modes with semileptonic rare B-decays

<jats:title>A<jats:sc>bstract</jats:sc> </jats:title><jats:p>We present a systematic global analysis of dineutrino modes <jats:italic>b →



Generic one-loop matching conditions for rare meson decays

Abstract Leptonic and semileptonic meson decays that proceed via flavour-changing neutral currents provide excellent probes of physics of the standard model and beyond. We present explicit results

Standard-Model Prediction of ε_{K} with Manifest Quark-Mixing Unitarity.

It is shown that Cabibbo-Kobayashi-Maskawa unitarity enforces a unique form of the |ΔS=2| weak effective Lagrangian in which the short-distance theory uncertainty of the imaginary part is dramatically reduced.

Charm Quark Contribution to K + ! + ¯ at Next-to-Next-to-Leading Order

We calculate the charm-quark contribution to the decay KL → μ μ in next-to-next-to-leading order of QCD. This new contribution reduces the theoretical uncertainty in the relevant parameter Pc from

Decay Amplitude from Lattice QCD

(The RBC and UKQCD Collaborations) Physics Department, University of Connecticut, Storrs, CT 06269-3046, USA SUPA, School of Physics, The University of Edinburgh, Edinburgh EH9 3JZ, UK Physics

Weak decays beyond leading logarithms

We review the present status of QCD corrections to weak decays beyond the leading logarithmic approximation including particle-antiparti cle mixing and rare and CP violating decays. After presenting

K--> pi nu nu -bar and high precision determinations of the CKM matrix.

  • BuchallaBuras
  • Physics
    Physical review. D, Particles and fields
  • 1996
It is pointed out that this mode is likely to offer the most precise determination of ${\rm Im}V^*_{ts}V_{td}$ and the Jarlskog parameter $J_{CP}$, the invariant measure of CP violation in the Standard Model.