English

Improving $\pi\pi$ dispersive analyses and resonance determination with Forward Dispersion Relations

High Energy Physics - Phenomenology 2025-02-19 v1 High Energy Physics - Experiment High Energy Physics - Lattice Nuclear Theory

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.

Keywords

Cite

@article{arxiv.2412.17932,
  title  = {Improving $\pi\pi$ dispersive analyses and resonance determination with Forward Dispersion Relations},
  author = {P. Rabán and J. R. Peláez and J. Ruiz de Elvira},
  journal= {arXiv preprint arXiv:2412.17932},
  year   = {2025}
}

Comments

6 pages, 3 figures