NLO QCD Corrections to ${\eta }_c+h_c(1P)/{\psi }_{1,2}(1D)$ Production at B-factories

Abstract

We calculate the next-to-leading order (NLO) quantum chromodynamics (QCD) corrections to double charmonium production processes $e^{+}{e}^{-}\to {\gamma }^{\ast }\to {\eta }_c+h_c(1P)/{\psi }_{1,2}(1D)$ within the non-relativistic QCD (NRQCD) factorization framework. We find that the corrections to ${\eta }_c+h_c(1P)$ production are positive, while those to ${\eta }_c+{\psi }_{1,2}(1D)$ are negative. Unlike the $J/\psi +{\eta }_c$ case, all the corrections here are not large. Uncertainties in the renormalization scale, quark mass and running energy of center-of-mass are discussed, and the scale dependence of these processes is found to be greatly reduced with the NLO QCD corrections.

Comments: 5 pages, 7 figures; revised version