Improving $ππ$ dispersive analyses and resonance determination with Forward Dispersion Relations

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Autori principali: Rabán, P., Peláez, J. R., de Elvira, J. Ruiz
Natura: Preprint
Pubblicazione: 2024
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author Rabán, P.
Peláez, J. R.
de Elvira, J. Ruiz
author_facet Rabán, P.
Peláez, J. R.
de Elvira, J. Ruiz
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2412_17932
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Improving $ππ$ dispersive analyses and resonance determination with Forward Dispersion Relations
Rabán, P.
Peláez, J. R.
de Elvira, J. Ruiz
High Energy Physics - Phenomenology
High Energy Physics - Experiment
High Energy Physics - Lattice
Nuclear Theory
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.
title Improving $ππ$ dispersive analyses and resonance determination with Forward Dispersion Relations
topic High Energy Physics - Phenomenology
High Energy Physics - Experiment
High Energy Physics - Lattice
Nuclear Theory
url https://arxiv.org/abs/2412.17932