Final State Interactions in Kaon Decays

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 main results of this analysis, with their implications for ${\epsilon }^{\prime }/\epsilon$ and the $\Delta I=1/2$ rule, have been already presented in a previous paper [1]. Here we provide a detailed formal derivation of those results and further discuss the Standard Model prediction of ${\epsilon }^{\prime }/\epsilon$.

30 pages, 1 eps figure

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• epsilon'/epsilon in the Chiral Limit
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Cited by in corpus (50)

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• The Standard Model Prediction for epsilon'/epsilon
• Supersymmetric Explanation of CP Violation in $K\to \pi \pi$ Decays
• K pi vector form factor, dispersive constraints and tau -> nu_tau K pi decays
• Direct CP violation in $K^0\to \pi \pi$: Standard Model Status
• Gluino-mediated electroweak penguin with flavor-violating trilinear couplings
• Delta I=1/2 and epsilon'/epsilon in Large-Nc QCD
• Quantum Loops in the Resonance Chiral Theory: The Vector Form Factor
• Elastic s-wave B pi, D pi, D K and K pi scattering from lattice calculations of scalar form factors in semileptonic decays
• epsilon'/epsilon at the NLO: 10 Years Later
• Kaon CP violation and neutron EDM in the minimal left-right symmetric model
• Predictions on the second-class current decays ${\tau }^{-}\to {\pi }^{-}{\eta }^{(\prime )}{\nu }_{\tau }$
• Final State Interactions in $K\to \pi \pi$ Decays: $\Delta I=1/2$ Rule vs. ${\epsilon }^{\prime }/\epsilon$
• New Physics Patterns in ${\epsilon }^{\prime }/\epsilon$ and ${\epsilon }_K$ with Implications for Rare Kaon Decays and $\Delta M_K$
• ${\tau }^{-}\to K^{-}{\eta }^{(\prime )}{\nu }_{\tau }$ decays in Chiral Perturbation Theory with Resonances
• 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)
• Charged Kaon K \to 3 pi CP Violating Asymmetries at NLO in CHPT
• Semileptonic $B\to \pi$ Decays from an Omnès Improved Nonrelativistic Constituent Quark Model
• Gluino-squark contributions to CP violations in the kaon system
• $K\to \pi \pi$ Decays in SU(2) Chiral Perturbation Theory
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• Non-leptonic kaon decays at large $N_c$
• A note on the dispersive treatment of K -> pi pi with the kaon off-shell
• SU(3) analysis of four-quark operators: $K\to \pi \pi$ and vacuum matrix elements
• What is the (epsilon'/epsilon)_exp Telling Us ?
• Tying in CP and Flavor Violations with Fermion Masses and Neutrino Oscillations
• $K\to \pi {\ell }^{+}{\ell }^{-}$ form factor in the Large-N${}_c$ and cut-off regularization method
• Theoretical status of ${\epsilon }^{\prime }/\epsilon$
• Probing the chiral weak Hamiltonian at finite volumes
• Instantons and the $\Delta I=1/2$ Rule
• Charm mass dependence of the weak Hamiltonian in chiral perturbation theory
• Lattice Matrix Elements and CP Violation in B and K Physics: Status and Outlook
• Chiral perturbation theory, dispersion relations and final state interactions in K -> pi pi
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• Distinguishing Between Hierarchical and Lop-sided SO(10) Models
• Study of Kaon Decay to Two Pions
• Matrix Elements of Light Quarks
• Theoretical overview of kaon decays
• On the Role of FSI in K -> 2πDecay
• Recent progress on CP violation in $K\to \pi \pi$ decays in the SM and a supersymmetric solution
• Non-leptonic kaon decays at large $N_c$
• Isospin-breaking contributions to ${\epsilon }^{\prime }/\epsilon$
• The Revival of Kaon Flavour Physics