Improving $\pi\pi$ dispersive analyses and resonance determination with Forward Dispersion Relations
P. Rabán Mondéjar*, J.R. Peláez and J. Ruiz de Elvira
*: corresponding author
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Pre-published on: February 07, 2025
Published on: March 25, 2025
Abstract
We present preliminary results of an improved pion-pion scattering dispersive analysis that includes: a refined treatment of inelasticities, the introduction of G-waves, the extension of Forward Dispersion Relations as constraints up to 1.6 GeV, and data description up to roughly 1.8 GeV. Additionally, we impose Roy-like dispersion relations. As a result, we obtain three reliable solutions corresponding to three different datasets. From the Forward Dispersion Relation output, we extract resonance pole parameters in a parameterization-independent way using continued fractions.
DOI: https://doi.org/10.22323/1.465.0028
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