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The logarithmic contribution to the QCD static energy at NNNNLO

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arxiv hep-ph/0610143 v2 pith:GVSQTEBE submitted 2006-10-11 hep-ph hep-lat

classification hep-phhep-lat
keywords staticenergyalphacontributionlogarithmicnnnnlopnrqcdterms
verification ladder T0 review T1 audit T2 compute T3 formal
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Using pNRQCD and known results for the field strength correlator, we calculate the ultrasoft contribution to the QCD static energy of a quark-antiquark pair at short distances at NNNNLO in alpha_s. At the same order, this provides the logarithmic terms of the singlet static potential in pNRQCD and the log alpha_s terms of the static energy.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Renormalon subtracted nonrelativistic QCD for heavy hadron systems

    hep-ph 2026-07 conditional novelty 6.5 of 10

    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.

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

    hep-lat 2025-02 conditional novelty 6.0 of 10

    A first, preliminary extraction of the QCD strong coupling from static quark-antiquark energy in (2+1+1)-flavor lattice QCD, consistent with previous determinations but not yet final.

  3. Factorial growth in perturbation theory, power corrections: precise extraction of quark masses and $\alpha_\text{s}$

    hep-ph 2025-05 conditional novelty 4.0 of 10

    A QCD method that subtracts and Borel-sums factorially growing high-order terms improves the stability of perturbative series for the static energy, pole mass, and Bjorken sum rule.

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