====== TTP05-01 Heavy Quarkonium Spectrum and Production/Annihilation Rates to order $\beta_0^3\alpha_s^3$ ======
 
 
   <hidden TTP05-01  Heavy Quarkonium Spectrum and Production/Annihilation Rates to order $\beta_0^3\alpha_s^3$ >   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 ${\cal O}(m_q\alpha_s^5)$ result for the heavy
   quarkonium ground state energy is extended to the exited states.
   After including the ${\cal O}(\alpha_s^3)$ 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.
 </hidden>
|**A.A. Penin, V.A. Smirnov, M. Steinhauser**  | 
|**  Nucl.Phys.  B716 303-318 2005  **  |
| {{preprints:2005:ttp05-01.pdf|PDF}} {{preprints:2005:ttp05-01.ps|PostScript}} [[http://arxiv.org/abs/hep-ph/0501042|arXiv]]   |
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