DOE OSTI · 3484471
ϕ → 3 π and ϕ π 0 transition form factor from Khuri-Treiman equations
Abstract
This work studies the ϕ → 3 π decay and the ϕ → π 0 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 → 3 π Dalitz plot distribution and the ϕ → π 0 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 → 3 π decays and ω → π 0 γ * , which shows significant deviations. Our results also provide a reasonable description of the trend of the transition form factor data from in the e + e − → ϕ π 0 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.
Keep this discovery
Explore connections, maps & timelines
Lorenzo, A. G. [Instituto de Física Corpuscular; Universidad de Valencia] (ORCID:0009000132009996), Albaladejo, M. [Instituto de Física Corpuscular; Universidad de Valencia] (ORCID:0000000173409235), Gonzàlez-Solís, S. [Universitat de Barcelona (UB); Institut de Ciències del Cosmos; Universitat de Barcelona (UB)] (ORCID:0000000319475420), Hammoud, N. [Universitat de Barcelona (UB); Institut de Ciències del Cosmos; Universitat de Barcelona (UB)] (ORCID:0000000283950647), Mathieu, V. [Universitat de Barcelona (UB); Institut de Ciències del Cosmos; Universitat de Barcelona (UB)] (ORCID:0000000349553311), Montaña, G. [Universitat de Barcelona (UB); Institut de Ciències del Cosmos; Universitat de Barcelona (UB); Thomas Jefferson National Accelerator Facility] (ORCID:0000000180936682), Pilloni, A. [Università degli Studi di Messina; INFN Sezione di Catania] (ORCID:0000000342570928), Winney, D. [Universität Bonn; Universidad Nacional Autónoma de México] (ORCID:000000028076243X), Szczepaniak, A. P. [Thomas Jefferson National Accelerator Facility; Indiana University; Indiana University] (ORCID:0000000241565492). 2026-08-18. ϕ → 3 π and ϕ π 0 transition form factor from Khuri-Treiman equations. https://doi.org/10.1103/3v66-pg1l
Cite the original work for its findings. Save a collection to share your selection of sources.