Cusps in K --> 3 pi decays

Details Cusps in K --> 3 pi decays Cusps in K --> 3 pi decays

2006-04-10

arxiv.org/abs/hep-ph/0604084v1

Phys.Lett.B638:187-194,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

14 pages, 3 figures, uses Elsevier style

Scientific paper

10.1016/j.physletb.2006.05.017

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.

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