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  • Open Access

Dispersive determination of resonances from ππ scattering data

J. R. Peláez*, P. Rabán†, and J. Ruiz de Elvira‡

  • *Contact author: jrpelaez@ucm.es
  • †Contact author: praban@ucm.es
  • ‡Contact author: jacobore@ucm.es
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Phys. Rev. D 113, 034018 – Published 17 February, 2026

DOI: https://doi.org/10.1103/fdv7-k23j

Abstract

We provide a precise, model- and parametrization-independent dispersive determination of the f0(500), ρ(770), f0(980), f2(1270), f0(1370), ρ(1450), f0(1500), and ρ3(1690) resonance pole parameters. They are obtained from the analytic continuation, by means of continued fractions, of forward dispersion relations, whose input is a recent global dispersive analysis of ππ scattering data. From this dispersive study, we find no indications of other resonant poles below 1.7 GeV. Beyond this energy, we also provide resonance pole parameters from the direct analytic continuation of Global Fits to the three existing incompatible datasets. Depending on the dataset we find poles for the ρ(1700), f0(1710), ρ(1900), f2(1950), and f0(2020) resonances. We also present the Argand diagrams of these Global Fits and illustrate that each resonance does not necessarily have to trace a full circle in the diagram.

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Phys. Rev. D 113, 034018– Published 17 February, 2026
  • Received 24 November 2025
  • Accepted 13 January 2026
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