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arXiv · 2604.01097

Strong coupling constant from the 1-loop improved static energy

Viljami Leino·Alexei Bazavov·Nora Brambilla·Georg von Hippel·Andreas S. Kronfeld·Julian Mayer-Steudte·Peter Petreczky·Sipaz Sharma·Sebastian Steinbeißer·Antonio Vairo·Johannes H. Weber
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Abstract

The static energy is an excellent observable for extracting the strong coupling $\alpha_s$ on the lattice. For short distances, the static energy can be calculated both on the lattice using Wilson line correlators, and with perturbation theory up to three loop accuracy with leading ultrasoft log resummation. Comparing the perturbative expression and lattice data allows for precise determination of $\alpha_s$. We present early results for 1-loop lattice perturbation theory improvement of the Wilson loop and show how it improves the $\alpha_s$ extraction. We present a preliminary reanalysis of the TUMQCD (2+1)-flavor QCD data.

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Viljami Leino, Alexei Bazavov, Nora Brambilla, Georg von Hippel, Andreas S. Kronfeld, Julian Mayer-Steudte, Peter Petreczky, Sipaz Sharma, Sebastian Steinbeißer, Antonio Vairo, Johannes H. Weber. 2026-04-01. Strong coupling constant from the 1-loop improved static energy. https://arxiv.org/abs/2604.01097

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