2024/03/26 by Véronique Bernard, Bernard, Véronique, Sébastien Descotes–Genon +5 · 1 citation
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Nuclear physics research studies #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.2403.17570
openalex publication_date 2024/03/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A system of dispersive representations of the Omnès-Khuri-Treiman-Sawyer-Wali type for the final-state interactions in the amplitudes of the K→πππ weak transitions is constructed, under the assumptions that CP and isospin symmetries are conserved. Both the ΔI = 1/2 and ΔI = 3/2 transition channels are considered. The set of single-variable functions involved in these representations is identified, and the polynomial ambiguities in their definitions are discussed. Numerical solutions for the system of coupled integral relations satisfied by these functions are provided, and the determination of the subtraction constants in terms of the experimental information on the amplitudes in the decay region is addressed.