Assume that the number of neutrinos with mass < < M Z is 3, 4, or 5

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Assume that the number of neutrinos with mass << MZ is 3, 4, or 5 in turn, without changing anything else. Evaluate for each case the Z branching ratio into μ+μ- and the ratio ΓμμZ. Evaluate the ratio of the cross-sections at the peak for e+e- into hadrons for N = 3, 4 and 5.

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