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SUMMARY:Topical Seminar: Isospin symmetry and three-body rescattering in $
 D\\to \\bar{K}\\pi\\pi$ amplitudes
DTSTART;VALUE=DATE-TIME:20240523T130000Z
DTEND;VALUE=DATE-TIME:20240523T140000Z
DTSTAMP;VALUE=DATE-TIME:20260309T091329Z
UID:indico-event-7608@indico.ific.uv.es
DESCRIPTION:\nIn non-leptonic weak decays the strong-interaction phases ar
 e necessary ingredients for extracting information on the CP violating pha
 ses. In this talk\, we discuss an approach for calculating these strong ph
 ases\, for a class of three-body D decays: $D\\to\\bar{K}\\pi\\pi$. The mo
 de $D^0\\to K_S\\pi+\\pi^-$ is of particular interest for the measurement 
 of the CKM parameter $\\gamma$. At first\, isospin symmetry is rather pred
 ictive here due to the simple isospin transformation of the relevant weak 
 hamiltonian\, and eventually allows to describe simultaneously all the $D\
 \to\\bar{K}\\pi\\pi modes. Going beyond the popular isobar model three-bod
 y rescattering effects (which could be more significant for $D$ decays tha
 n for $K$ or $B$ decays) are taken into account by deriving a set of dispe
 rsive Khuri-Treiman (KT) integral equations. The outcome\, based on KT sol
 utions which use experimental inputs on $\\pi\\pi$ and $\\pi K$ scattering
 \, is compared with some experimental results concerning\, in particular\,
  the strong phases\, which are available for some $D^+\\to\\bar{K}\\pi\\pi
 $ and $D^0\\to\\bar{K}\\pi\\pi$ modes.\n\nhttps://indico.ific.uv.es/event/
 7608/
LOCATION:Universe 1001-Primera-1-1-1 - Paterna. Seminario
URL:https://indico.ific.uv.es/event/7608/
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