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Data-driven evaluations of Euclidean windows to scrutinize hadronic vacuum polarization

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arxiv 2205.12963 v2 pith:HKWRY6TZ submitted 2022-05-25 hep-ph hep-latnucl-th

G. Colangelo , A. X. El-Khadra , M. Hoferichter , A. Keshavarzi , C. Lehner , P. Stoffer , T. Teubner This is my paper · ORCID
classification hep-phhep-latnucl-th
keywords datadiscusseuclideanevaluationshadronslatticetextwindow
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

In this paper, we discuss how windows in Euclidean time can be used to isolate the origin of potential conflicts between evaluations of the hadronic-vacuum-polarization (HVP) contribution to the anomalous magnetic moment of the muon in lattice QCD and from $e^+e^-\to\text{hadrons}$ cross-section data. We provide phenomenological comparison numbers evaluated from $e^+e^-\to\text{hadrons}$ data for the window quantities most commonly studied in lattice QCD, complete with the correlations among them. We discuss and evaluate modifications of window parameters that could be useful in dissecting the energy dependence of tensions in the HVP integral and emphasize that further optimizations require a precise knowledge of the full covariance matrix in lattice-QCD calculations as well.

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Cited by 6 Pith papers

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

  1. Bootstrapping leading hadronic muon anomaly

    hep-th 2024-11 conditional novelty 7.0 of 10

    Bootstrap constraints plus QCD sum rules give a lower bound on the hadronic muon anomaly and an emergent rho-meson peak.

  2. Complete dispersive evaluation of the hadronic light-by-light contribution to muon $g-2$

    hep-ph 2024-11 conditional novelty 7.0 of 10

    Using a dispersive formalism with experimental transition form factors and short-distance constraints, the authors obtain a_mu^HLbL = 101.9(7.9) x 10^-11, halving the previous uncertainty.

  3. Dispersive analysis of the pion vector form factor without zeros

    hep-ph 2025-01 conditional novelty 6.0 of 10

    Imposing the absence of complex zeros in the pion vector form factor reduces the dominant systematic uncertainty and makes the tensions between CMD-3 and other e+e- data sets appear sharper, including in the pion char...

  4. Dispersion relation for hadronic light-by-light scattering: $\eta$ and $\eta'$ poles

    hep-ph 2024-12 conditional novelty 6.0 of 10

    A dispersive analysis of the eta and eta' transition form factors yields data-driven pole contributions to the muon g-2 of 14.7(9) x 10^-11 and 13.5(7) x 10^-11.

  5. Dispersion relation for hadronic light-by-light scattering: subleading contributions

    hep-ph 2024-11 conditional novelty 6.0 of 10

    A dispersive evaluation gives a_mu^HLbL subleading = 33.2(7.2) x 10^-11 and total = 101.9(7.9) x 10^-11.

  6. Searching for hadronic scale baryonic and dark forces at $(g-2)_\mu$'s lattice-vs-dispersion front

    hep-ph 2024-12 conditional novelty 5.0 of 10

    A flavor-universal GeV-scale vector boson's direct contribution to (g-2)_mu cancels against its on-shell contribution to the e+e- -> hadrons data when the data-driven HVP is used, redirecting the search to the lattice...

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