A note on the dispersive treatment of K -> pi pi with the kaon off-shell

Abstract

It has been recently suggested that it is possible to calculate the effect of final state interactions in K -> pi pi amplitudes by applying dispersive methods to the amplitude with the kaon off-shell. We critically reexamine the procedure, and point out the effects of the arbitrariness in the choice of the off-shell field for the kaon.

arXiv commentLatex, 6 pages. Reference added

References in corpus (4)

• Strong Enhancement of ${\epsilon }^{\prime }/\epsilon$ Through Final State Interactions
• Final State Interactions in Kaon Decays
• Dispersion relations and soft pion theorems for K -> pi pi
• Final State Interactions and epsilon'/epsilon: A Critical Look

Cited by in corpus (12)

• Patterns of Flavour Violation in Models with Vector-Like Quarks
• Delta I=1/2 and epsilon'/epsilon in Large-Nc QCD
• epsilon'/epsilon at the NLO: 10 Years Later
• Kaon CP violation and neutron EDM in the minimal left-right symmetric model
• 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 $\Delta M_K$
• Dispersion relations and soft pion theorems for K -> pi pi
• Dispersive treatment of $K_S\to \gamma \gamma$ and $K_S\to \gamma {\ell }^{+}{\ell }^{-}$
• Chiral perturbation theory, dispersion relations and final state interactions in K -> pi pi
• K to pi and K to 0 in 2+1 Flavor Partially Quenched Chiral Perturbation Theory
• Study of Kaon Decay to Two Pions
• The Revival of Kaon Flavour Physics