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Precise determination of the sigma pole location from a dispersive analysis

2008/01/01 by R. García-Martín, R. Garcia-Martin, R. Kamiński +8 · 1 citation
Engineering · Physics and Astronomy · #Particle Accelerators and Free-Electron Lasers #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1063/1.2973510

published as AIPConf.Proc.1030:263-267,2008 · 5 pages, 2 figures. To appear in the proceedings of the Workshop on Scalar Mesons and Related Topics, Lisbon, Portugal, 11-16 Feb 2008

openalex publication_date 2008/01/01 · arxiv created 2008/04/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

We review how the use of recent precise data on kaon decays together with forward dispersion relations (FDR) and Roy's equations allow us to determine the sigma resonance pole position very precisely, by using only experimental input. In addition, we present preliminary results for a modified set of Roy‐like equations with only one subtraction, that show a remarkable improvement in the precision around the σ region. For practical applications, these results are shown to be very well approximated by a very simple conformal expansion.

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