Heavy Quarkonium Spectrum and Production/Annihilation Rates to order $β_0^3α_s^3$

Details Heavy Quarkonium Spectrum and Production/Annihilation Rates to order $β_0^3α_s^3$ Heavy Quarkonium Spectrum and Production/Annihilation Rates to order $β_0^3α_s^3$

2005-01-07

arxiv.org/abs/hep-ph/0501042v2

Nucl.Phys. B716 (2005) 303-318

Physics

High Energy Physics

High Energy Physics - Phenomenology

16 pages, 1 figure, references added, version to appear in Nucl. Phys. B

Scientific paper

10.1016/j.nuclphysb.2005.03.028

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.

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