A review on partial-wave dynamics with chiral effective field theory and dispersion relation

The description of strong interaction physics low-lying resonances is out the valid range perturbative QCD. Chiral effective field theories (EFTs) have been developed to tackle issue. Partial wave dynamics systematic tool decode underlying and reveal properties those resonances. It extremely powerful helpful for our understanding non-perturbative regime, especially when dispersion techniques are utilized simultaneously. Recently, plenty exotic/ordinary hadrons reported by experiment collaborations, e.g. LHCb, Belle, BESIII, etc. In this review, we summarize recent progress on applications partial combined with chiral EFTs relations, related topics, emphasis ππ, πK, πN scatterings.