{ "id": "hep-ph/0502130", "version": "v1", "published": "2005-02-14T16:43:18.000Z", "updated": "2005-02-14T16:43:18.000Z", "title": "Pion-pion scattering and the K->3pi decay amplitudes", "authors": [ "Nicola Cabibbo", "Gino Isidori" ], "comment": "32 pages, 6 figures", "journal": "JHEP0503:021,2005", "doi": "10.1088/1126-6708/2005/03/021", "categories": [ "hep-ph" ], "abstract": "We 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.", "revisions": [ { "version": "v1", "updated": "2005-02-14T16:43:18.000Z" } ], "analyses": { "keywords": [ "decay amplitudes", "pion-pion scattering", "pi0 pi0 spectrum", "pi-pi scattering length combination", "3pi coupled channels" ], "tags": [ "journal article" ], "publication": { "publisher": "IOP", "journal": "Journal of High Energy Physics", "year": 2005, "month": "Mar", "volume": 2005, "number": 3, "pages": "021" }, "note": { "typesetting": "TeX", "pages": 32, "language": "en", "license": "arXiv", "status": "editable", "inspire": 676708, "adsabs": "2005JHEP...03..021C" } } }