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Chiral Extrapolation of the Sigma Resonance
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abstract
We analyze recent results on isoscalar $\pi\pi$ scattering from a $N_f=2+1$ lattice simulation by the HadronSpectrum collaboration by re-summing the two-flavor chiral scattering amplitude of the next-to-leading order in the so-called inverse amplitude method. The lattice data can be well extrapolated to the physical pion mass. We also find that both $I=0$ and $I=1$ lattice data can be described simultaneously for pion masses up to $M_{\pi}=236$ MeV.
Forward citations
Cited by 3 Pith papers
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Emergence of the $\pi(1300)$ Resonance from Lattice QCD
Lattice QCD plus three-body scattering formalism yields a π(1300)-like pole at (1169±46)−i(62−62+168) MeV, consistent with experiment.
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Universal parameters of the $\Lambda(1380)$, the $\Lambda(1405)$ and their isospin partners from a combined analysis of Lattice QCD and experimental results
A combined global fit of lattice QCD spectra and experimental Kbar N data within chiral unitary approaches gives pole positions for the Lambda(1380) and Lambda(1405) at physical and lattice quark masses, with systemat...
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A cross-channel study of pion scattering from lattice QCD
A correlated three-channel fit of unitarized chiral perturbation theory to lattice QCD pion spectra yields precise physical-point scattering lengths and sigma and rho poles, but with a low rho mass.
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