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A new representation of the Adler function for lattice QCD

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arxiv 1306.2532 v1 pith:25F32WNC submitted 2013-06-11 hep-lat hep-ph

Anthony Francis , Benjamin Jaeger , Harvey B. Meyer , Hartmut Wittig This is my paper · ORCID
classification hep-lathep-ph
keywords representationadlerfunctionanalysiscorrelatorcurrentflavorlattice
verification ladder T0 review T1 audit T2 compute T3 formal
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We address several aspects of lattice QCD calculations of the hadronic vacuum polarization and the associated Adler function. We implement a representation derived previously which allows one to access these phenomenologically important functions for a continuous set of virtualities, irrespective of the flavor structure of the current. Secondly we present a theoretical analysis of the finite-size effects on our particular representation of the Adler function, based on the operator product expansion at large momenta and on the spectral representation of the Euclidean correlator at small momenta. Finally, an analysis of the flavor structure of the electromagnetic current correlator is performed, where a recent theoretical estimate of the Wick-disconnected diagram contributions is rederived independently and confirmed.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 90 citations worldwide. Full citation record

  1. The running of the electroweak gauge couplings from first principles

    hep-lat 2026-07 accept novelty 6.5 of 10

    Lattice QCD plus pQCD matching yields Δα_had^(5)(M_Z²)=0.027821(34)lat(35)pQCD at 0.17% precision and a up-to-7σ tension with e+e- data near 1 GeV².

  2. The hadronic contribution to the running of $\alpha$ and the electroweak mixing angle

    hep-lat 2025-02 conditional novelty 5.0 of 10

    A lattice QCD update computes the high-energy window of the hadronic vacuum polarization for the running of α and sin²θ_W with improved control of discretization errors.

  3. Hybrid calculation of hadronic vacuum polarization in muon g-2 to 0.48\%

    hep-lat 2024-07 unverdicted novelty 4.0 of 10

    Lattice QCD on finer grids yields a_μ^LO-HVP = 715.1(3.4)×10^{-10}, producing a standard-model prediction for a_μ that differs from experiment by only 0.5 sigma.

  4. Lepton anomalous magnetic moments: Theory

    hep-ph 2025-12 unverdicted novelty 2.0 of 10

    The paper provides an overview of theoretical calculations for lepton anomalous magnetic moments arising from quantum corrections in the Standard Model.

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