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Dispersive analysis of the J/ψ→γπ0π0 process

Bai-Long Hoid1, Igor Danilkin1, Anna Testa1,2,3, and Marc Vanderhaeghen1

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Phys. Rev. D 114, 074043 – Published 20 October, 2026

DOI: https://doi.org/10.1103/38t3-2vvf

Abstract

We present a dispersive amplitude analysis of the low-energy π0π0 system in the radiative decay J/ψ→γπ0π0, using the mass-independent BESIII 0++ and 2++ intensities, the total spectrum, and the measured 0++−2++  E1 phase difference. The isoscalar S-wave is described by a coupled-channel ππ/KK¯ Muskhelishvili–Omnès representation, which implements the strong final-state interactions associated with the f0(500) and f0(980). The D-wave is treated with a single-channel ππ Muskhelishvili-Omnès representation, where we identify all kinematic constraints of helicity amplitudes before transforming them to the experimental E1, M2, and E3 multipoles. Smooth short-distance production of a pseudoscalar-meson pair is encoded in subtraction polynomials, while left-hand-cut effects are estimated and found to be numerically subleading. We identify the negative solution of the BESIII 0++−2++  E1 phase ambiguity, after using the modulo-π freedom of production amplitudes, as the phase solution compatible with unitarity constraints, showing that the measured phase information can be accommodated with the Omnès phase motion without requiring large additional phases. By normalizing the BESIII intensities with the extracted branching fraction, we fix the absolute scale of the fitted amplitudes, making them suitable as input for future dispersive studies of two-pion contributions to gravitational form factors.

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Phys. Rev. D 114, 074043– Published 20 October, 2026
  • Received 26 June 2026
  • Accepted 11 August 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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