Cusp effects in meson decays

Details Cusp effects in meson decays Cusp effects in meson decays

2009-12-17

arxiv.org/abs/0912.3440v1

EPJ Web of Conferences 3, 01008 (2010)

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, 14 figures; plenary talk at the 19th International IUPAP Conference on Few-Body Problems in Physics, Bonn, Germany,

Scientific paper

10.1051/epjconf/20100301008

The pion mass difference generates a pronounced cusp in the pi0 pi0 invariant mass distribution of K+ --> pi0 pi0 pi+ decays. As originally pointed out by Cabibbo, an accurate measurement of the cusp may allow one to pin down the S-wave pion-pion scattering lengths to high precision. We present the non-relativistic effective field theory framework that permits to determine the structure of this cusp in a straightforward manner, including the effects of radiative corrections. Applications of the same formalism to other decay channels, in particular eta and eta' decays, are also discussed.

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