Dispersive representation of K -> 3 pi amplitudes and cusps

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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4 pages, 1 figure, to appear in Proceedings of the conference QCD 08, Montpellier, 7-12 July 2008

Scientific paper

10.1016/j.nuclphysbps.2008.12.07

The NA48/2 collaboration has shown clear experimental evidence for a cusp in
the data for K -> pi pi^0 pi^0. This effect can be used to extract information
on the pi-pi scattering lengths. We address this issue using a two-loop
dispersive construction of pi pi -> pi pi and K -> pi pi pi amplitudes in the
presence of isospin breaking.

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