Determination of α s from static QCD potential: OPE with renormalon subtraction and lattice QCD

Hiromasa Takaura, Takashi Kaneko, Yuichiro Kiyo, Yukinari Sumino

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13 Citations (Scopus)


We determine the strong coupling constant α s from the static QCD potential by matching a theoretical calculation with a lattice QCD computation. We employ a new theoretical formulation based on the operator product expansion, in which renormalons are subtracted from the leading Wilson coefficient. We remove not only the leading renormalon uncertainty of O(Λ QCD ) but also the first r-dependent uncertainty of O(ΛQCD3r2). The theoretical prediction for the potential turns out to be valid at the static color charge distance Λ M S ¯ r≲ 0.8 (r ≲ 0.4 fm), which is significantly larger than ordinary perturbation theory. With lattice data down to Λ M S ¯ r∼ 0.09 (r ∼ 0.05 fm), we perform the matching in a wide region of r, which has been difficult in previous determinations of α s from the potential. Our final result is α s (M Z 2 ) = 0.1179 − 0.0014 + 0.0015 with 1.3% accuracy. The dominant uncertainty comes from higher order corrections to the perturbative prediction and can be straightforwardly reduced by simulating finer lattices.

Original languageEnglish
Article number155
JournalJournal of High Energy Physics
Issue number4
Publication statusPublished - 2019 Apr 1


  • Lattice field theory simulation
  • QCD Phenomenology

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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