A cross-channel study of pion scattering from lattice QCD

Understand

We use a chiral model for pion interactions, in the inverse amplitude formalism, to perform a simultaneous analysis of lattice QCD results for pion-pion scattering in all three isospin channels.

• The input is the finite-volume two-pion spectrum computed using lattice QCD from six ensembles on lattices elongated in one of the spatial dimensions.
• A two-flavor dynamical lattice QCD action is used with two quark masses corresponding to a pion mass of 315 MeV and 224 MeV.
• The spectrum in the elastic region is subjected to a global fit which takes into account full correlations across isospin, pion mass and decay constant.