Excited heavy quarkonium production via Z0 decays at a high luminosity collider

We present a systematic study of the production of the heavy quarkonium, i.e., vertical bar(c (c) over bar [n]>, vertical bar(b (c) over bar) [n]> (or (c (b) over bar [n]>)), and (b (b) over bar)[n]> quarkonium [vertical bar(QQ')[n]> quarkonium for short], through Z(0) boson semiexclusive decays with new parameters [1] for the heavy quarkonium under the framework of the nonrelativistic QCD, where [n] stands for n(1)S(0), n(3)S(1), n(1)P(0), n(3)P(J) [n = 1,...,6; J = (0, 1, 2)]. Improved trace technology is adopted to derive the simplified analytic expressions at the amplitude level, which shall be useful for dealing with these decay channels. If all higher [vertical bar(QQ')[n]> quarkonium states decay to the ground state vertical bar(Q (Q) over bar')[1(1)S(0)]) with 100% efficiency via electromagnetic or hadronic interactions, we obtain Gamma(Z(0) -> vertical bar(c (c) over bar)[1(1)S(0)]>)=1476KeV, Gamma(Z(0) -> vertical bar(b (c) over bar )1(1)S(0)]>)=1485KeV, Gamma(Z(0) -> vertical bar(b (b) over bar )1(1)S(0)]>)=127.5KeV. At the LHC and ILC with the luminosity L alpha 10(34) cm(-2) s(-1), sizable heavy quarkonium events can be produced through Z(0) boson decays; i.e., about 5.9 x 10(5) (c (c) over bar), 6.0 x 10(5) (b (c) over bar) [or (c (b) over bar)], 5.1 x 10(4) (b (b) over bar) events per year can be obtained.