Cusps in KL→3π decays

2007/10/24 by M. Bissegger, A. Fuhrer, Andreas Fuhrer +5 · 1 citation
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1016/j.physletb.2007.11.008

published as Phys.Lett.B659:576-584,2008 · 15 pages, 3 figures, uses Elsevier style

arxiv created 2007/10/24 · openalex publication_date 2007/12/06 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The pion mass difference generates a pronounced cusp in K→3π decays, the strength of which is related to the ππ S-wave scattering lengths. We apply an effective field theory framework developed earlier to evaluate the amplitudes for KL→3π decays in a systematic manner, where the strictures imposed by analyticity and unitarity are respected automatically. The amplitudes for the decay η→3π are also given.

Citations

• Pion-pion scattering amplitude. III. Improving the analysis with forward dispersion relations and Roy equations
• Observation of a cusp-like structure in the π0π 0 invariant mass distribution from K±→π ±π0π0 decay and determination of the ππ scattering lengths

Cited by

• Radiative corrections in K→3π decays