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High Energy Physics - Phenomenology

arXiv:hep-ph/0501042 (hep-ph)
[Submitted on 7 Jan 2005 (v1), last revised 6 Apr 2005 (this version, v2)]

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

Authors:A.A. Penin, V.A. Smirnov, M. Steinhauser
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Abstract: 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.
Comments: 16 pages, 1 figure, references added, version to appear in Nucl. Phys. B
Subjects: High Energy Physics - Phenomenology (hep-ph)
Report number: TTP/05-01, DESY 05-001
Cite as: arXiv:hep-ph/0501042
  (or arXiv:hep-ph/0501042v2 for this version)
  https://doi.org/10.48550/arXiv.hep-ph/0501042
Journal reference: Nucl.Phys. B716 (2005) 303-318
Related DOI: https://doi.org/10.1016/j.nuclphysb.2005.03.028

Submission history

From: Matthias Steinhauser [view email]
[v1] Fri, 7 Jan 2005 08:24:11 UTC (23 KB)
[v2] Wed, 6 Apr 2005 14:21:08 UTC (23 KB)
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