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Article Dans Une Revue Journal of High Energy Physics Année : 2023

Isospin symmetry and analyticity in $D\to\bar{K}\pi\pi$ decays

Résumé

We perform a detailed study of the consequences of isospin symmetry in the Cabibbo favoured $D\to\Kbar\pi\pi$ decays. These processes are important for precision testing of the Standard Model and for hadronic physics. Combining isospin symmetry with a dispersive reconstruction theorem we derive a representation in terms of one-variable functions which allows one to predict all the $D\to\Kbar\pi\pi$ amplitudes given inputs from one $D^+$ mode and one $D^0$ mode. From this, using dispersion relations and unitarity, we derive a set of 6+6 Khuri-Treiman type integral equations which enable to take three-body rescattering effects into account. A first test of this approach is presented using experimental results on the $D^+\to K_S\piz\pip$ and the $D^0\to K_S\pim\pip$ modes.

Dates et versions

hal-04055982 , version 1 (03-04-2023)

Identifiants

Citer

Emi Kou, Tetiana Moskalets, Bachir Moussallam. Isospin symmetry and analyticity in $D\to\bar{K}\pi\pi$ decays. Journal of High Energy Physics, 2023, 12, pp.177. ⟨10.1007/JHEP12(2023)177⟩. ⟨hal-04055982⟩
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