Volume 518 - The 42nd International Symposium on Lattice Field Theory (LATTICE2025) - Parallel Session Standard Model parameters
Towards determination of the strong coupling $\alpha_s(m_Z)$ from four-flavor lattice QCD using the continuous $\beta$-function method
Y.V. Mandlecha*, A. Bazavov, A. Chauhan, M. Dai, C. DeTar, A.X. El-Khadra, S. Gottlieb, A. Hasenfratz, L. Hostetler, A. Kronfeld, E. Neil, C.T. Peterson, J.N. Simone  on behalf of Fermilab Lattice and MILC Collaborations
*: corresponding author
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Pre-published on: June 30, 2026
Published on: —
Abstract
The precise value of the strong coupling $\alpha_s(m_{Z})$ at the $Z$-boson mass $m_{Z}$ is essential for high-energy phenomenology and precision tests of quantum chromodynamics (QCD). We present the status of a program targeting a $\sim 0.3\%$ determination of $\alpha_s(m_{Z})$ using the renormalization group $\beta$-function in the infinite volume gradient flow scheme based on lattice QCD simulations of degenerate four-flavor highly improved staggered quark (HISQ) ensembles. In particular, we analyze both tree-level cutoff effects and finite-mass effects. We also outline the next steps of the analysis, including the infinite-volume and continuum extrapolations required for a precise determination of $\alpha_s(m_Z)$.
DOI: https://doi.org/10.22323/1.518.0207
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