  We calculate the cross section for hadroproduction of a pair of heavy quarks
in a 3S1 color-singlet state at next-to-leading order in QCD. This corresponds
to the leading contribution in the NRQCD expansion for J/psi and Upsilon
production. The higher-order corrections have a large impact on the p_T
distributions, enhancing the production at high p_T both at the Tevatron and at
the LHC. The total decay rate of a 3S1 into hadrons at NLO is also computed,
confirming for the first time the result obtained by Mackenzie and Lepage in
1981.
