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A beam of muon neutrinos is produced from the decay of charged pions of Eπ = 20 GeV.

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A beam of muon neutrinos is produced from the decay of charged pions of Eπ = 20 GeV. Show that the relationship between the neutrino energy in the laboratory frame, Eν, and its angle relative to the pion beam θ, for small θ, is

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Inverse Lorentz transformations gives

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