Scale setting and strong coupling determination in the gradient flow scheme for 2+1 flavor lattice QCD
5 affiliations
- 1Universität Bielefeld
- 2Brookhaven National Laboratory
- 3Central China Normal University
- 4Humboldt-Universität zu Berlin
- 5Technische Universität Darmstadt
Abstract
A bstract : We report on the determination of the gradient flow scales in N f = 2 + 1 QCD using highly improved staggered quark (HISQ) ensembles generated by the HotQCD Collaboration for bare gauge couplings ranging from β = 6 . 423 to 8 . 400. Using bottomonium splittings, kaon decay constant, the decay constant of unmixed η s meson and the ϕ meson mass we obtained the values of the gradient flow scales in physical units, √(t0) t 0 = 0.14446(76) fm and w ₀ = 0.17429(83) fm. Using the same physical inputs we revisit the determination of the potential r ₁ scale and find r ₁ = 0 . 3118(26) fm. As a byproduct of our study we obtain the running of the gauge coupling in the gradient flow scheme. We find that within the uncertainties the running of the gradient flow coupling obtained on the lattice is compatible with the perturbative results up to flow radius √(8τF) 8 τ F = 0.15 fm.
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BibTeX
@article{larsen2026scale,
title = {{Scale setting and strong coupling determination in the gradient flow scheme for 2+1 flavor lattice QCD}},
author = {Rasmus Norman Larsen and Swagato Mukherjee and Peter Petreczky and Hai-Tao Shu and Johannes Heinrich Weber},
journal = {Journal of High Energy Physics},
year = {2026},
month = oct,
doi = {10.1007/jhep10(2026)039},
url = {https://link.springer.com/10.1007/JHEP10(2026)039},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Scale setting and strong coupling determination in the gradient flow scheme for 2+1 flavor lattice QCD
AU - Rasmus Norman Larsen
AU - Swagato Mukherjee
AU - Peter Petreczky
AU - Hai-Tao Shu
AU - Johannes Heinrich Weber
PY - 2026
DA - 2026/10/02
JO - Journal of High Energy Physics
DO - 10.1007/jhep10(2026)039
UR - https://link.springer.com/10.1007/JHEP10(2026)039
AB - A bstract : We report on the determination of the gradient flow scales in N f = 2 + 1 QCD using highly improved staggered quark (HISQ) ensembles generated by the HotQCD Collaboration for bare gauge couplings ranging from β = 6 . 423 to 8 . 400. Using bottomonium splittings, kaon decay constant, the decay constant of unmixed η s meson and the ϕ meson mass we obtained the values of the gradient flow scales in physical units, √(t_0) t 0 = 0.14446(76) fm and w ₀ = 0.17429(83) fm. Using the same physical inputs we revisit the determination of the potential r ₁ scale and find r ₁ = 0 . 3118(26) fm. As a byproduct of our study we obtain the running of the gauge coupling in the gradient flow scheme. We find that within the uncertainties the running of the gradient flow coupling obtained on the lattice is compatible with the perturbative results up to flow radius √(8τ_F) 8 τ F = 0.15 fm.
SN - 1029-8479
ER -