Resonance properties from lattice energy levels using chiral effective field theory

Abstract

We use the chiral effective field theory to study the lattice finite-volume energy levels from the meson-meson scattering. The hadron resonance properties and the scattering amplitudes at physical masses are determined from the lattice energy levels calculated at unphysically large pion masses. The results from the $\pi\eta, K\bar{K}$ and $\pi\eta'$ coupled-channel scattering and the $a_0(980)$ resonance are explicitly given as a concrete example.