Strong Enhancement of ${\epsilon }^{\prime }/\epsilon$ Through Final State Interactions

Abstract

We quantify the important effect of strong final state interactions in the weak $K\to 2\pi$ amplitudes, using the measured $\pi$--$\pi$ phase shifts with J=0 and $I=0,2$. The final rescattering of the two pions provides a strong enhancement of the $\Delta I=1/2$ amplitude, which so far has been neglected in the theoretical predictions of ${\epsilon }^{\prime }/\epsilon$. This correction increases the Standard Model prediction of ${\epsilon }^{\prime }/\epsilon$ to values in good agreement with the experimental measurements.

4 pages, uses RevTex, a footnote added

References in corpus (1)

• Observation of Direct CP Violation in K_{S,L} to ππDecays

Cited by in corpus (76)

• Kaon Decays in the Standard Model
• 50 Years of Quantum Chromodynamics
• Effects of mixing with quark singlets
• Patterns of Flavour Violation in Models with Vector-Like Quarks
• epsilon'/epsilon and Rare K and B Decays in the MSSM
• Improved anatomy of epsilon'/epsilon in the Standard Model
• The Standard Model Prediction for epsilon'/epsilon
• Generic Loop Effects of New Scalars and Fermions in $b\to s{\ell }^{+}{\ell }^{-}$, $(g-2{)}_{\mu }$ and a Vector-like $4^{\mathrm{th}}$ Generation
• Supersymmetric Explanation of CP Violation in $K\to \pi \pi$ Decays
• Direct CP violation in $K^0\to \pi \pi$: Standard Model Status
• Final State Interactions in Kaon Decays
• Delta I=1/2 and epsilon'/epsilon in Large-Nc QCD
• Constraining models with vector-like fermions from FCNC in K and B physics
• Quantum Loops in the Resonance Chiral Theory: The Vector Form Factor
• Singularity-free Next-to-leading Order $\Delta S=1$ Renormalization Group Evolution and ${\epsilon }_K^{\prime }/{\epsilon }_K$ in the Standard Model and Beyond
• epsilon'/epsilon at the NLO: 10 Years Later
• Kaon CP violation and neutron EDM in the minimal left-right symmetric model
• Analysis of O(p^2) Corrections to <pi pi|Q_{7,8}|K>
• Final State Interactions in $K\to \pi \pi$ Decays: $\Delta I=1/2$ Rule vs. ${\epsilon }^{\prime }/\epsilon$
• An updated analysis of eps'/eps in the standard model with hadronic matrix elements from the chiral quark model
• New Physics Patterns in ${\epsilon }^{\prime }/\epsilon$ and ${\epsilon }_K$ with Implications for Rare Kaon Decays and $\Delta M_K$
• Tree-level FCNC in the B system: from CP asymmetries to rare decays
• $K\to \pi \nu \overline{\nu }$ in the MSSM in Light of the ${\epsilon }_K^{\prime }/{\epsilon }_K$ Anomaly
• Correlators of left charges and weak operators in finite volume chiral perturbation theory
• Final-state interactions in the CP asymmetries of charm-meson two-body decays
• Dispersion relations and soft pion theorems for K -> pi pi
• Spin-1 Correlators at Large NC: Matching OPE and Resonance Theory up to O(alpha_s)
• Axion-mediated forces, CP violation and left-right interactions
• Developments in Rare Kaon Decay Physics
• Charged Kaon K \to 3 pi CP Violating Asymmetries at NLO in CHPT
• Gluino-squark contributions to CP violations in the kaon system
• New physics in ε' from chromomagnetic contributions and limits on Left-Right symmetry
• Analysis of the DeltaI=1/2 Rule and e'/e with Overlap Fermions
• Small violations of unitarity, the phase in Bs mixing and visible t->cZ decays at the LHC
• What can we learn about light-meson interactions at electron-positron colliders?
• Theoretical status of epsilon'/epsilon
• $K\to \pi \pi$ Decays in SU(2) Chiral Perturbation Theory
• A note on the dispersive treatment of K -> pi pi with the kaon off-shell
• Comment on `Analysis of O(p^2) Corrections to <2pi|Q_{7,8}|K>'
• The Strong Isospin-Breaking Correction for the Gluonic Penguin Contribution to epsilon'/epsilon at Next-to-Leading Order in the Chiral Expansion
• Present and Future CP Measurements
• A joint analysis of the S-wave in the pi+pi- and pi0pi0 data
• What is the (epsilon'/epsilon)_exp Telling Us ?
• SU(3) analysis of four-quark operators: $K\to \pi \pi$ and vacuum matrix elements
• epsilon'/epsilon in the Standard Model
• Tying in CP and Flavor Violations with Fermion Masses and Neutrino Oscillations
• Theoretical status of ${\epsilon }^{\prime }/\epsilon$
• $K\to \pi {\ell }^{+}{\ell }^{-}$ form factor in the Large-N${}_c$ and cut-off regularization method
• Chiral Limit Prediction for epsilon'/epsilon at NLO in 1/N_c
• Probing the chiral weak Hamiltonian at finite volumes
• CP violation in supersymmetric models with Hermitian Yukawa couplings and A-terms
• Instantons and the $\Delta I=1/2$ Rule
• Charm mass dependence of the weak Hamiltonian in chiral perturbation theory
• K -> pi pi and a light scalar meson
• Direct CP Violation in K-decay and Minimal Left-Right Symmetry Scale
• Hadronic Matrix Elements for Kaons
• Chiral perturbation theory, dispersion relations and final state interactions in K -> pi pi
• Enhancement of epsilon'/epsilon in the SU(2)_L times SU(2)_R times U(1) model
• Distinguishing Between Hierarchical and Lop-sided SO(10) Models
• Matrix Elements of Light Quarks
• Study of Kaon Decay to Two Pions
• Chiral Lagrangians
• Theoretical overview of kaon decays
• The role of final state interactions in epsilon'/epsilon
• Isospin-breaking contributions to ${\epsilon }^{\prime }/\epsilon$
• The Revival of Kaon Flavour Physics
• On the Role of FSI in K -> 2πDecay
• Theoretical status of epsilon'/epsilon
• Final State Interactions and eps'/eps
• eps'/eps in the standard model
• epsilon'/epsilon and Rare K Decays in the Standard Model and Supersymmetry
• 1/N_c and epsilon'/epsilon
• Confronting hadronic tau decays with non-leptonic kaon decays
• The impact of LEP 2 data on possible anomalous enhancements of Re e'/e
• Extrapolation of K to ππdecay amplitude
• Chiral loop corrections and isospin violation effects in epsilon'/epsilon