2025/05/21 by Amador García-Lorenzo, Garcia-Lorenzo, A., M. Albaladejo +15
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Experiment (hep-ex) #High Energy Physics - Phenomenology (hep-ph) #Nonlinear Waves and Solitons #Nuclear Theory (nucl-th)
paper · pdf · doi:10.48550/arxiv.2505.15309
openalex publication_date 2025/05/21 · openalex created_date 2025/10/19 · openalex updated_date 2026/07/28
This work studies the ϕ→ 3π decay and the ϕ→ π0 γ^∗ transition form factor, utilizing the Khuri-Treiman formalism to account for analyticity, crossing, and unitarity. Using once-subtracted dispersion relations, we perform a simultaneous fit to the ϕ→ 3π Dalitz plot distribution and the ϕ→ π0 γ^∗ measurements from the KLOE collaboration, finding good agreement with these experimental data. These results reaffirm the applicability of the Khuri-Treiman approach in the analysis of three-body decays. An interesting result is that the subtraction constant appearing in the equations is similar to a sum rule expectation, in contrast to analogous studies of ω→ 3π decays and ω→ π0 γ^∗, which shows significant deviations. Our results also provide a reasonable description of the trend of the transition form factor data from BaBar in the e+e-→ϕπ0 scattering region. These intriguing theoretical differences between the decays of ϕ and ω could encourage further experimental measurements to assess the discrepancies and refine the theoretical predictions.