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
N1 - Funding Information:
The authors are grateful to the JLQCD collaboration for providing the lattice data. They thank G. Mishima for collaboration at an early stage of this study and also thank S. Aoki, S. Hashimoto, T. Onogi, and S. Sasaki for fruitful discussion. The works of Y.K. and Y.S. are supported in part by Grant-in-Aid for scientific research (Nos. 26400255 and 17K05404) from MEXT, Japan.
Publisher Copyright:
© 2019, The Author(s).
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
SN - 1126-6708
VL - 2019
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 4
M1 - 155
ER -