TY - JOUR
T1 - Determination of α s from static QCD potential
T2 - OPE with renormalon subtraction and lattice QCD
AU - Takaura, Hiromasa
AU - Kaneko, Takashi
AU - Kiyo, Yuichiro
AU - Sumino, Yukinari
PY - 2019/4/1
Y1 - 2019/4/1
N2 - 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.
AB - 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.
KW - Lattice field theory simulation
KW - QCD Phenomenology
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U2 - 10.1007/JHEP04(2019)155
DO - 10.1007/JHEP04(2019)155
M3 - Article
AN - SCOPUS:85065122949
VL - 2019
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
SN - 1126-6708
IS - 4
M1 - 155
ER -