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Mass and width of the lowest resonance in QCD
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We demonstrate that near the threshold, the pi pi scattering amplitude contains a pole with the quantum numbers of the vacuum - commonly referred to as the sigma - and determine its mass and width within small uncertainties. Our derivation does not involve models or parametrizations, but relies on a straightforward calculation based on the Roy equation for the isoscalar S-wave.
Forward citations
Cited by 4 Pith papers
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Revisiting Roy-Steiner-equation analysis of pion-kaon scattering from lattice QCD data
A Roy-Steiner dispersive analysis of lattice QCD pion-kaon data at m_pi = 391 MeV finds the κ resonance at (966-i198) MeV, a broad resonance rather than the virtual-state pole reported in K-matrix analyses.
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Lattice QCD study of the $K^*(892)$ resonance at the physical point
Lattice QCD yields the K*(892) resonance pole at physical pion mass and continuum limit as 883(22) - i20(13) MeV, in agreement with experiment.
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Gluon Gravitational $ D$-Form Factor: The $\sigma$-Meson as a Dilaton Confronted with Lattice Data II
σ-pole residues in gluon D-form factors for π, N, ρ and Δ are consistent with dilaton effective theory predictions within large uncertainties.
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Dispersion relations: foundations
Pedagogical review explaining how causality implies analyticity and its use in scattering amplitudes, form factors, and resonance extraction in hadronic physics.
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