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Relativistic corrections to the static potential from generalized Wilson loops at finite flow time

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arxiv 2311.06560 v2 pith:CXN25SX7 submitted 2023-11-11 hep-lat hep-ph

classification hep-lathep-ph
keywords correctionsloopsflowmathcalpotentialrelativisticstaticwilson
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We present results from an ongoing project concerned with the computation of $\mathcal{O}(1/m_Q)$ and $\mathcal{O}(1/m_Q^2)$ relativistic corrections to the static potential. These corrections are extracted from Wilson loops with two chromo-field insertions. We use gradient flow, which allows to renormalize the inserted fields and leads to a significantly improved signal-to-noise ratio, providing access to loops with large spatial and temporal extents.

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Cited by 2 Pith papers

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

  1. Hybrid spin-dependent and hybrid-quarkonium mixing potentials at order $(1 /m_Q)^1$ from SU(3) lattice gauge theory

    hep-lat 2025-01 conditional novelty 7.0 of 10

    First SU(3) lattice computation of the four order-(1/m_Q)^1 hybrid spin-dependent and hybrid-quarkonium mixing potentials at a single lattice spacing.

  2. Computing $1/m_Q$ and $1/m_Q^2$ corrections to the static potential with lattice gauge theory using gradient flow

    hep-lat 2024-11 conditional novelty 6.0 of 10

    Tree-level improvement of flowed Wilson loops reduces lattice and flow-time errors, giving preliminary 1/m_Q and 1/m_Q^2 corrections to the static quark-antiquark potential.

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