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Once subtracted Roy-like dispersion relations and a precise analysis of ππ scattering data

2009/06/30 by R. Garcia-Martin, R. García-Martín, R. Kamiński +9
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.48550/arxiv.0906.5467

6 pages, 4 figures, to appear in the proceedings of the International Workshop On Effective Field Theories: From The Pion To The Upsilon (EFT 09), 2-6 Feb 2009, Valencia, Spain

arxiv created 2009/06/30 · openalex publication_date 2009/06/30 · arxiv updated 2009/12/01 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

We report our progress on the data analysis of ππ scattering data in terms of Forward Dispersion Relations (FDR), as well as Roy equations (RE) and their once-subtracted counterpart, GKPY equations. The first part of the analysis consists of independent fits to the different ππ channels. The GKPY equations provide a more stringent consistency check for the parametrizations of the S0-wave data in the region from 400 to 1100 MeV, In the second part we present our preliminary analysis where the fits are constrained to satisfy all dispersion relations within errors, including the new GKPY Eqs., thus providing a very precise and model independent description of data using just analyticity, causality and crossing.

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