The static energy in 2 + 1 + 1-flavor QCD TUM-EFT 153/21 Sebastian Steinbeißer, ,∗ Nora Brambilla, ,, Rafael L. Delgado,  Andreas S. Kronfeld,  Viljami Leino,  Peter Petreczky,  Antonio Vairo,  and Johannes Heinrich Weber ,  Physik Department, Technische Universität München, James-Franck-Str. 1, D-85748 Garching b. München, Germany  Institute for Advanced Study, Technische Universität München, Lichtenbergstrasse 2a, D-85748 Garching b. München, Germany  Munich Data Science Institute, Technische Universität München, Walther-von-Dyck-Strasse 10, D-85748 Garching b. München, Germany  Universidad Politécnica de Madrid, Nikola Tesla, s/n, 28031-Madrid, Spain  Particle Theory Department, Fermi National Accelerator Laboratory, Batavia, IL 60510-5011, USA  Brookhaven National Laboratory, Upton, NY 11973-5000, USA  Institut für Physik & IRIS Adlershof, Humboldt-Universität zu Berlin, Zum Großen Windkanal 6, D-12489 Berlin, Germany E-mail: sebastian.steinbeisser@tum.de, nora.brambilla@tum.de, rafael.delgado@upm.es, ask@fnal.gov, viljami.leino@tum.de, petreczk@bnl.gov, antonio.vairo@tum.de, dr.rer.nat.weber@gmail.com TUMQCD Collaboration We report on the status of the analysis of the static energy in 2 + 1 + 1-flavor QCD. The static energy is obtained by measuring Wilson line correlators in Coulomb gauge using the HISQ action, yielding the scales  0 /,  1 /,  2 /, their ratios, and the string tension  2  . We put emphasis on the possible effects due to the dynamical charm-quark by comparing the lattice results to continuum results of the static energy with and without a massive flavor at two-loop accuracy. We employ gauge-field ensembles from the HotQCD and MILC Collaborations. The 38th International Symposium on Lattice Field Theory, LATTICE2021 26th-30th July, 2021 Zoom/Gather@Massachusetts Institute of Technology ∗ Speaker © Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0). https://pos.sissa.it/ arXiv:2111.02288v1 [hep-lat] 3 Nov 2021