On the relation of the cosmological constraints on neutrino flavors to the width of the Z0

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The relationship between big bang nucleosynthesis constraints on the number of types of neutrinos and the width of the Z0 is discussed. The standard model with mν << mZ has a well known relationship between the width of the Z0, ΓZ, and the number of neutrinos, Nν. However, for a heavy neutrino, with 1 MeV <~ mν < mZ/2 there will be a contribution to the width of the Z0, which will not be counted by primordial nucleosynthesis. On the other hand, right-handed neutrinos or light supersymmetric ``inos'' may not couple directly to the Z0 and thus not contribute to ΓZ but could make a contribution to Nν. No model is cosmologically acceptable with more than 4 effective neutrinos (or 1 more than νe, νμ and ντ). If ΓZ >~ 3.4 GeV then other new massive particles must exist.

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