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.
Meson-meson scattering lengths at maximum isospin from lattice QCD
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abstract
We summarize our lattice QCD determinations of the pion-pion, pion-kaon and kaon-kaon s-wave scattering lengths at maximal isospin with a particular focus on the extrapolation to the physical point and the usage of next-to-leading order chiral perturbation theory to do so. We employ data at three values of the lattice spacing and pion masses ranging from around 230 MeV to around 450 MeV, applying Luescher's finite volume method to compute the scattering lengths. We find that leading order chiral perturbation theory is surprisingly close to our data even in the kaon-kaon case for our entire range of pion masses.
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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.