Heavy quarkonium spectrum and production/annihilation rates to order β03αS3

We compute the third-order corrections to the heavy quarkonium spectrum and production/annihilation rates due to the leading renormalization group running of the static potential. The previously known complete O(m(q)alpha(5)(s)) result for the heavy quarkonium ground state energy is extended to the exited states. After including the O(alpha(3)(s)) corrections the perturbative results are in surprisingly good agreement with the experimental data on the masses of the excited upsilon resonances and the leptonic width of the upsilon(1S) meson. The impact of the corrections on the upsilon sum rules and top quark-antiquark threshold production cross section is also discussed. (c) 2005 Elsevier B.V. All rights reserved.