Joint description of the e+e- annihilation into both four-pion channels

The e+e-→π+π-π0π0 reaction cross section as a function of the incident energy is calculated using a model that is an extension of our recently published model of the e+e- annihilation into four charged pions. The latter considered the intermediate states with the π, ρ, and a1 mesons and fixed the mixing angle of the a1ρπ Lagrangian and other parameters by fitting the cross section data. Here we supplement the original intermediate states with those containing ω(782) and h1(1170), but keep unchanged the values of those parameters that enter both charged and mixed channel calculations. The inclusion of ω is vital for obtaining a good fit to the cross section data, while the intermediate states with h1 further improve it. Finally, we merge our models of the e+e-→π+π-π0π0 and e+e-→π+π-π+π- reactions and obtain a simultaneous good fit.