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

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.

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)

References in corpus (11)

• The Cosmological Parameters 2006
• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• ππscattering
• Mass and width of the lowest resonance in QCD
• Roy equation analysis of pi pi scattering
• A new measurement of K+(e4) decay and the s-wave pi-pi-scattering length a00
• The pion-pion scattering amplitude. III: Improving the analysis with forward dispersion relations and Roy equations
• Analysis and interpretation of new low-energy Pi-Pi scattering data
• Experimental status of the $\pi \pi$ isoscalar S wave at low energy: $f_0(600)$ pole and scattering length
• Elimination of ambiguities in pion-pion phase shifts using crossing symmetry
• The pion-pion scattering amplitude. II: Improved analysis above $\bar{K}K$ threshold

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• From controversy to precision on the sigma meson: a review on the status of the non-ordinary $f_0(500)$ resonance
• Meson vacuum phenomenology in a three-flavor linear sigma model with (axial-)vector mesons
• Vacuum Properties of Mesons in a Linear Sigma Model with Vector Mesons and Global Chiral Invariance
• Strange and non-strange quark mass dependence of elastic light resonances from SU(3) Unitarized Chiral Perturbation Theory to one loop
• Gluonium nature of the sigma/f_0(600) from its coupling to KK
• Phenomenology of charmed mesons in the extended Linear Sigma Model
• Gauged linear sigma model and pion-pion scattering
• The role of the next-to-leading order triangle-shaped diagram in two-body hadronic decays
• Critical Hadronization Pressure
• Low-energy pion-pion scattering in the $pp\to pp{\pi }^{+}{\pi }^{-}$ and $p\bar{p}\to p\bar{p}{\pi }^{+}{\pi }^{-}$ reactions
• Particle Production and Deconfinement Threshold
• Influence of Vector Mesons on the f0(600) Decay Width in a Linear Sigma Model with Global Chiral Invariance