Isospin symmetry and analyticity in D→Kππ decays

2023/03/21 by E. Kou, Kou, Emi, T. Moskalets +3
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Experiment (hep-ex) #High Energy Physics - Phenomenology (hep-ph) #Neutrino Physics Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2303.12015

openalex publication_date 2023/03/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We perform a detailed study of the consequences of isospin symmetry in the Cabibbo favoured D→\Kbarππ 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→\Kbarππ amplitudes given inputs from one D⁺ mode and one D⁰ 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⁺→ K_S\piz\pip and the D⁰→ K_S\pim\pip modes.

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