XVIII International Conference on Hadron Spectroscopy and Structure (HADRON2019)

I report on our study of low-lying resonances in $\pi\pi$ and $K\pi$ scattering from lattice QCD. Based on ab-initio multi-hadron spectroscopy and the Lüscher finite-volume method, we have investigated the elastic scattering amplitudes for $\pi\pi$ P-wave, $K\pi$ S-wave and P-wave partial waves. A particular focus of the discussion will be the parametrizaton of the amplitudes with respect to the identification of resonance parameters. The shown results are obtained for two gauge field ensembles at pion masses $317$ MeV and $178$ MeV.