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Strong coupling in (2+1+1)-flavor QCD

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arxiv 2502.01453 v1 pith:BCA6ELRA submitted 2025-02-03 hep-lat hep-ph

Strong coupling in (2+1+1)-flavor QCD

classification hep-lat hep-ph
keywords alphalatticemathrmcouplingdeterminationenergyflavorstatic
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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abstract

The strong coupling $\alpha_\mathrm{s}$ can be obtained from the static energy as shown in previous lattices studies. For short distances, the static energy can be calculated both on the lattice with the use of Wilson line correlators, and with the perturbation theory up to three loop accuracy with leading ultrasoft log resummation. Comparing the perturbative expression and lattice data allows for precise determination of $\alpha_\mathrm{s}(m_Z)$. We will present preliminary results for the determination of $\alpha_\mathrm{s} {(M_Z)}$ in (2+1+1)-flavor QCD using the configurations made availableby the MILC-collaboration with smallest lattice spacing reaching 0.0321fm.

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    MRS-pNRQCD plus GFMC stabilizes heavy-hadron spectroscopy; NNLO baryon masses undershoot lattice QCD by 125–175 MeV with 1/m_Q scaling, and a critical mass ratio for tetraquark binding is extracted.