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.

11 pages, 14 figures, 2 tables

References in corpus (6)

• Isoscalar $\pi \pi$ scattering and the $\sigma$ meson resonance from QCD
• Quark mass dependence of the rho and sigma from dispersion relations and Chiral Perturbation Theory
• The Inverse Amplitude Method and Adler Zeros
• Chiral extrapolation of light resonances from one and two-loop unitarized Chiral Perturbation Theory versus lattice results
• Lattice QCD study of the s-wave $\pi \pi$ scattering lengths in the I=0 and 2 channels
• On the sigma sigma term

Cited by in corpus (1)

• Chiral symmetry constraints on resonant amplitudes