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Production of Z bosons in emission processes by neutrinos in the expanding deSitter universe is studied by using perturbative methods. The total probabilityand transition rate for the spontaneous emission of a Z boson by a neutrino iscomputed analytically, then we perform a graphical analysis in terms of theexpansion parameter. Our results prove that this process is possible only forlarge expansion conditions of the early Universe. Finally the density number ofZ bosons is defined and we obtain a quantitative estimation of this quantity interms of the density number of neutrinos.

Z boson emission by a neutrino in de Sitter expanding universe