Chiral Extrapolation of the Sigma Resonance

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.

arXiv comment11 pages, 14 figures, 2 tables

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Cited by in corpus (8)

• Hadronic molecules
• FLAG Review 2019
• Scattering processes and resonances from lattice QCD
• Extraction of isoscalar $\pi \pi$ phase-shifts from lattice QCD
• Determination of $s$- and $p$-wave $I=1/2$ $K\pi$ scattering amplitudes in $N_{\mathrm{f}}=2+1$ lattice QCD
• Chiral Extrapolations of the $\mathbf{\rho }(770)$ Meson in ${\mathbf{N}}_{\mathbf{f}}=2+1$ Lattice QCD Simulations
• $I=0$ $\pi \pi$ $s$-wave scattering length from lattice QCD
• Chiral symmetry constraints on resonant amplitudes