Z⁰ Decay into Charmonium via Charm Quark Fragmentation
Braaten, Eric · Cheung, Kingman · Yuan, Tzu Chiang
Original · EN
In decays of the Z⁰, the dominant mechanism for the direct production of charmonium states is the decay of the Z⁰ into a charm quark or antiquark followed by its fragmentation into the charmonium state. We calculate the fragmentation functions describing the splitting of charm quarks into S-wave charmonium states to leading order in the QCD coupling constant. Leading logarithms of MZ/mc are summed up using Altarelli-Parisi evolution equations. Our analytic result agrees with the complete leading order calculation of the rate for Z⁰ → ψc c. We also use our fragmentation functions to calculate the production rate of heavy quarkonium states in W±, top quark, and Higgs decays.
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