Heavy Quarkonium Spectrum at ${\cal O}(α_s^5m_q)$ and Bottom/Top Quark Mass Determination
Abstract
Description
We present the next-to-next-to-next-to-leading ${\cal O}(α_s^5m_q)$ result for the ground state energy of a heavy quarkonium system. On the basis of this result we determine the bottom quark mass from $Υ(1S)$ resonance and provide an explicit formula relating the top quark mass to the resonance energy in $t\bar t$ threshold production.
16 pages, result based on upsilon expansion revised, version to appear in Phys. Lett. B
16 pages, result based on upsilon expansion revised, version to appear in Phys. Lett. B