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A statistical model is proposed which ascribes the Z^0 mass to the screening properties of the neutrino Fermi sea (neutrino vacuum). Concerning the fermion masses, some puzzling features of the Higgs mechanism are examined. Arguments are advanced, based on the Zitterbevegung theory of the electron substructure, showing that in low energy experiments electron behaves as an extended distribution of charge, though its size comes out less than 10^-16 cm in high energy experiments. This might be a clue for explaining the origin of fermion masses without resorting to Higgs field.

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