Combining recent perturbative analyses on the static QCD potential and the quark pole mass, we find that, for the heavy quarkonium states cc¯(1) ultra-soft (US) corrections in the binding energies are small, and (2) there is a stronger cancellation of IR contributions than what has been predicted by renormalon dominance hypothesis. By contrast, for a hypothetical heavy quarkonium system with a small number of active quark flavors (nl ≈ 0), we observe evidence that renormalon dominance holds accurately and that non-negligible contributions from US corrections exist. In addition, we examine contributions of renormalons at u = −1. As an important consequence, we improve on a previous prediction for possible achievable accuracy of top quark MS¯-mass measurement at a future linear collider and estimate that in principle 20-30 MeV accuracy is reachable.
- QCD Phenomenology