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Dispersive analysis of the ϕ→γπ0π0 process

Bai-Long Hoid, Igor Danilkin, and Marc Vanderhaeghen

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Phys. Rev. D 113, 114046 – Published 26 June, 2026

DOI: https://doi.org/10.1103/dlcc-jm4d

Abstract

We present an analysis of the radiative decay ϕ→γπ0π0 in a dispersive framework, where the two-pion subsystem undergoes strong final-state interactions that cover the f0(500) and f0(980) regions. We employ a coupled-channel Muskhelishvili-Omnès framework that allows for a consistent treatment of two scalar resonances and crossed-channel singularities induced by the Born and vector-meson exchanges. We explicitly verify the equivalence between the modified and standard Muskhelishvili-Omnès representations for vector-meson pole contributions when the isoscalar Omnès matrix is chosen asymptotically bounded, and we adopt the standard representation in decay kinematics. This yields, for the first time, a parameter-free dispersive prediction for the kaon Born rescattering, which provides a dominant contribution. To obtain a good fit to the KLOE and SND data, we employ a once-subtracted coupled-channel dispersion relation with heavier left-hand cut contributions and two unknown subtraction constants. The results demonstrate the consistency among the data for ππ scattering, γγ fusion, and ϕ radiative decay, thereby validating the underlying dispersive formalism and the input used for the hadronic Omnès matrix and left-hand cuts.

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Phys. Rev. D 113, 114046– Published 26 June, 2026
  • Received 18 February 2026
  • Accepted 20 May 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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