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Extended evolution equations for neutrino propagation in astrophysical and cosmological environments

Extended evolution equations for neutrino propagation in astrophysical and cosmological environments

We derive the evolution equations for a system of neutrinos interacting among themselves and with a matter background, based upon the Bogoliubov-Born-Green-Kirkwood-Yvon hierarchy. This theoretical framework gives an (unclosed) set of first-order coupled integro-differential equations governing the evolution of the reduced density matrices. By employing the hierarchy, we first rederive …