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Production from Electromagnetic Fragmentation in Z 0 decay

The rate for Z 0 → J/ψ + ℓ + ℓ − is suprisingly large with about one event for every million Z 0 decays. The reason for this is that there is a fragmentation contribution that is not suppressed by a factor of M 2 ψ /M 2 Z. In the fragmentation limit M Z → ∞ with E ψ /M Z fixed, the differential decay rate for Z 0 → J/ψ + ℓ + ℓ − factors into electromagnetic decay rates and universal fragmentation functions. The fragmentation functions for lepton fragmentation and photon fragmentation into J/ψ are calculated to lowest order in α. The fragmentation approximation to the rate is shown to match the full calculation for E ψ greater than about 3M ψ .