PoS - Proceedings of Science
Volume 430 - The 39th International Symposium on Lattice Field Theory (LATTICE2022) - Hadron Spectroscopy and Interactions
Charm mass effects in the static energy computed in 2+1+1 flavor lattice QCD
N. Brambilla, R.L. Delgado, A. Kronfeld, V. Leino, P. Petreczky, S. Steinbeißer, A. Vairo, J.H. Weber*  on behalf of the TUMQCD collaboration
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Pre-published on: February 26, 2023
Published on: April 06, 2023
We report our analysis for the static energy in (2+1+1)-flavor QCD over a wide range of lattice spacings and several quark masses.
We obtain results for the static energy out to distances of nearly 1 fm, allowing us to perform a simultaneous determination of the lattice scales $r_2$, $r_1$ and $r_0$ as well as the string tension, $\sigma$.
While our results for $r_0/r_1$ and $r_0$ $\sqrt{\sigma}$ agree with published (2+1)-flavor results, our result for $r_1/r_2$
differs significantly from the value obtained in the (2+1)-flavor case, likely due to the effect of the charm quark.
We study in detail the effect of the charm quark on the static energy by comparing our results on the finest lattices with the previously published (2+1)-flavor QCD results at similar lattice spacing.
The lattice results agree well with the two-loop perturbative expression of the static energy incorporating finite charm mass effects. %
DOI: https://doi.org/10.22323/1.430.0089
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