Heavy Quarkonium Spectrum at ${\cal O}(α_s^5m_q)$ and Bottom/Top Quark Mass Determination

Details Heavy Quarkonium Spectrum at ${\cal O}(α_s^5m_q)$ and Bottom/Top Quark Mass Determination Heavy Quarkonium Spectrum at ${\cal O}(α_s^5m_q)$ and Bottom/Top Quark Mass Determination

2002-04-25

arxiv.org/abs/hep-ph/0204290v2

Phys.Lett.B538:335-345,2002

Physics

High Energy Physics

High Energy Physics - Phenomenology

16 pages, result based on upsilon expansion revised, version to appear in Phys. Lett. B

Scientific paper

10.1016/S0370-2693(02)02040-3

We present the next-to-next-to-next-to-leading ${\cal O}(\alpha_s^5m_q)$
result for the ground state energy of a heavy quarkonium system. On the basis
of this result we determine the bottom quark mass from $\Upsilon(1S)$ resonance
and provide an explicit formula relating the top quark mass to the resonance
energy in $t\bar t$ threshold production.

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