Pith. sign in

REVIEW 4 cited by

Pade Theory applied to the vacuum polarization of a heavy quark

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 0903.0294 v1 pith:EJ2S4HMD submitted 2009-03-02 hep-ph

P. Masjuan , S. Peris This is my paper · ORCID
classification hep-ph
keywords polarizationquarktheoryvacuumexpansionfunctionheavypade
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original abstract

The vacuum polarization of a quark, when considered in terms of the external momentum q^2, is a function of the Stieltjes type. Consequently, the mathematical theory of Pade Approximants assures that the full function, at any finite value of q^2 away from the physical cut, can be reconstructed from its low-energy power expansion around q^2=0. We illustrate this point by applying this theory to the vacuum polarization of a heavy quark and obtain the value of the constant K^(2) governing the threshold expansion at order O(alpha_s^2).

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 4 Pith papers

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

  1. Analytically Consistent Reconstruction of Finite Data Using Pad\'e Sequences

    physics.data-an 2026-08 conditional novelty 6.0 of 10

    Tracking how spurious pole-zero pairs move across Padé approximation orders lets an iterative algorithm flag inconsistent data points and reconstruct the underlying function while preserving genuine analytic structures.

  2. Reconstruction of Gravitational Form Factors using Generative Machine Learning

    hep-ph 2026-02 conditional novelty 6.0 of 10

    A diffusion model trained on synthetic physics-motivated curves reconstructs the proton's A(t), J(t), D(t) from sparse data, extracting c8=-4.6±0.8, c9=-0.61±0.19, and D(0)=-4.3±0.8.

  3. 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.

  4. The role of Pad\'e and D-Log Pad\'e approximants in the context of the MUonE Experiment

    hep-ph 2024-11 conditional novelty 2.0 of 10

    Pade and D-Log approximants recover the hadronic vacuum polarization contribution to the muon anomalous magnetic moment from simulated MUonE data to within 0.06%.

Pith tools