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Cusps in K --> 3 pi decays

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abstract

The pion mass difference generates a pronounced cusp in K --> 3 pi decays. As has recently been pointed out by Cabibbo and Isidori, an accurate measurement of the cusp may allow one to pin down the S-wave pi pi scattering lengths to high precision. Here, we present and illustrate an effective field theory framework that allows one to determine the structure of this cusp in a straightforward manner. The strictures imposed by analyticity and unitarity are respected automatically.

fields

hep-ph 1

years

2024 1

verdicts

UNVERDICTED 1

representative citing papers

Effects of Final State Interactions on Landau Singularities

hep-ph · 2024-07-25 · unverdicted · novelty 5.0

Triangle singularities mimicking resonances are analyzed in the presence of final-state rescattering using Landau equations and a scattering formalism enforcing two- and three-body unitarity.

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  • Effects of Final State Interactions on Landau Singularities hep-ph · 2024-07-25 · unverdicted · none · ref 26 · internal anchor

    Triangle singularities mimicking resonances are analyzed in the presence of final-state rescattering using Landau equations and a scattering formalism enforcing two- and three-body unitarity.