Color-singlet relativistic correction to inclusive J/ψ production associated with light hadrons at B factories

We study the first-order relativistic correction to the associated production of J/psi with light hadrons at B factory experiments at root s = 10.58 GeV, in the context of nonrelativistic QCD (NRQCD) factorization. We employ a strategy for NRQCD expansion that slightly deviates from the orthodox doctrine, in that the matching coefficients are not truly of a short-distance'' nature, but explicitly depend upon physical kinematic variables rather than partonic ones. Our matching method, with validity guaranteed by the Gremm-Kapustin relation, is particularly suited for the inclusive quarkonium production and decay processes with involved kinematics, exemplified by the process e(+)e(-) -> J/psi + gg considered in this work. Despite some intrinsic ambiguity affiliated with the order-nu(2) NRQCD matrix element, if we choose its value as what has been extracted from a recent Cornell-potential-model-based analysis, including the relative order-nu(2) effect is found to increase the lowest-order prediction for the integrated J/psi cross section by about 30%, and exert a modest impact on J/psi energy, angular and polarization distributions except near the very upper end of the J/psi energy. The order-nu(2) contribution to the energy spectrum becomes logarithmically divergent at the maximum of J/psi energy. A consistent analysis may require that these large end-point logarithms be resummed to all orders in alpha(s).