Sigma pole position and errors of a once and twice subtracted dispersive analysis of pi-pi scattering data

2008/11/30 by R. Kaminski, R. Kamiński, R. García-Martín +4
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1016/j.nuclphysbps.2008.12.071

published as Nucl.Phys.Proc.Suppl.186:318-321,2009 · 4 pages, 6 figures. Contribution to the proceedings of the QCD08 14th International QCD Conference. 7-12th July 2008 Montpellier (France); one reference removed, changed errors in Eqs (4), (5) and (7)

openalex publication_date 2009/01/01 · arxiv created 2009/03/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

We show how the new precise data on kaon decays together with forward dispersion relations, sum rules and once- and twice-subtracted Roy's equations allow for a precise determination of the sigma meson pole position. We present a comparison and a study of the different sources of uncertainties when using either once- or twice-subtracted Roy's equations to analyze the data. Finally we present a preliminary determination of the sigma pole from the constrained dispersive data analysis.

Citations

• Analysis and interpretation of new low-energy ππ scattering data
• Pion-pion scattering amplitude. III. Improving the analysis with forward dispersion relations and Roy equations
• Review of Particle Physics