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Summary
The paper discusses an improved analysis of pion-pion scattering data using Forward Dispersion Relations (FDR) to determine resonance parameters in a model-independent way. The analysis includes a refined treatment of inelasticities, the introduction of G-waves, and an extension of FDR constraints up to 1.6 GeV.
Highlights
- Improved pion-pion scattering analysis using Forward Dispersion Relations (FDR)
- Refined treatment of inelasticities and introduction of G-waves
- Extension of FDR constraints up to 1.6 GeV
- Determination of resonance parameters in a model-independent way
- Use of continued fractions for analytic continuation
- Results show stability against variations in the analysis
- No evidence for the ρ(1250) resonance
Key Insights
- The use of FDR constraints up to 1.6 GeV allows for a more precise determination of resonance parameters, particularly for the ρ(1450) resonance.
- The introduction of G-waves is necessary to describe the interaction up to higher energies, and their inclusion improves the overall fit to the data.
- The refined treatment of inelasticities is crucial for a accurate description of the data, particularly in the region above 1.4 GeV.
- The use of continued fractions for analytic continuation provides a robust and general method for extracting resonance parameters from the FDR output.
- The results of the analysis show no evidence for the ρ(1250) resonance, which was previously claimed to exist in the same data set.
- The analysis demonstrates the importance of using dispersive constraints to determine resonance parameters in a model-independent way.
- The results have implications for our understanding of the light meson spectrum and the nature of the ρ(1450) resonance.
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Citation
Peláez, J. R., Rabán, P., & de Elvira, J. R. (2024). Improving $ππ$ dispersive analyses and resonance determination with Forward Dispersion Relations (Version 1). arXiv. https://doi.org/10.48550/ARXIV.2412.17932