Factorization and next-to-leading-order QCD correction in e(+)e(-)-> J/psi(psi(2S))+chi(c0)

In nonrelativistic QCD, we study e(+)e(-)-> J/psi(psi(2S)) + chi(c0) at B factories, where the P-wave state chi(c0) is associated with a S-wave state J/psi or psi(2S). In contrast to the failure of factorization in most cases involving P-wave states, e. g. in B decays, we find that factorization holds in this process at next-to-leading order (NLO) in alpha(s) and leading order in nu, where the associated S-wave state plays a crucial rule in canceling the infrared divergences. We also give some general analyses for factorization in various double charmonium production. The NLO corrections in e(+)e(-)-> J/psi(psi(2S)) + chi(c0) at root s = 10.6 GeV are found to substantially enhance the cross sections by a factor of about 2.8; hence crucially reducing the large discrepancy between theory and experiment. With m(c) = 1.5 GeV and mu = 2m(c), the NLO cross sections are estimated to be 17.9(11.3) fb for e(+)e(-)-> J/psi(psi(2S)) + chi(c0), which reach the lower bounds of the experiment.