Paper
Z^0 Decay into Charmonium via Charm Quark Fragmentation
Authors
Eric Braaten, Kingman Cheung, Tzu Chiang Yuan
Abstract
In decays of the , the dominant mechanism for the direct production of charmonium states is the decay of the 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 are summed up using Altarelli-Parisi evolution equations. Our analytic result agrees with the complete leading order calculation of the rate for . We also use our fragmentation functions to calculate the production rate of heavy quarkonium states in , top quark, and Higgs decays.