Calculation of the matrix element for the hadronic decay ω → π⁰π⁺π^-

Quantum Chromodynamics (QCD) is the theory of strong interaction and the Chiral perturbation theory (ChPT) is the effective theory of QCD at low energy. There has been a lot of work and progress in field of high energy physics or so called perturbative QCD, but the scientific community has very little knowledge and understanding of particle behavior in the low energy regime or the non-perturbative QCD regime. The ChPT is a very successful theory for studying hadronic decay of hadrons, which is the smallest unit of the low energy QCD regime. The aim of the present work is to develop the high precision measurement of Dalitz plot of ω → π⁰π⁺π^- with large statistics, and to obtain the matrix elements of the decay through the general decomposition parametrization described in the text