Pion-pion scattering and the K->3pi decay amplitudes

dc.creatorCabibbo, Nicola
dc.creatorIsidori, Gino
dc.date2005-02-14
dc.date.accessioned2026-07-07T10:29:25Z
dc.date.available2026-07-07T10:29:25Z
dc.descriptionWe revisit the recently proposed method for the determination of the pi-pi scattering length combination a_{0}-a_{2}, based on the study of the pi0 pi0 spectrum in K+ -> pi+ pi0 pi0. In view of a precision measurement, we discuss here the effects due to smaller absorptive contributions to the K+ -> pi+ pi0 pi0 and K+ -> pi+ pi+ pi- amplitudes. We outline a method of analysis that can lead to a precision determination of a_{0}-a_{2} and is based on very general properties of the S matrix. The discussion of final-state rescattering and cusp effects is also extended to the two K_L -> 3pi coupled channels. Thanks to the present work, the theoretical error on the a_{0}-a_{2} combination extracted from the K+ -> pi+ pi0 pi0 spectrum is reduced to about 5%. A further reduction requires the evaluation of the effects arising from radiative corrections.
dc.description32 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/hep-ph/0502130
dc.identifierhttp://arxiv.org/abs/hep-ph/0502130
dc.identifierJHEP0503:021,2005
dc.identifierdoi:10.1088/1126-6708/2005/03/021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/177796
dc.subjectHigh Energy Physics - Phenomenology
dc.titlePion-pion scattering and the K->3pi decay amplitudes
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