Computing the UV-finite electromagnetic corrections to the hadronic vacuum polarization in the muon (g − 2) from lattice QCD

Computing the UV-finite electromagnetic corrections to the hadronic vacuum polarization in the muon (g − 2) from lattice QCD

Abstract In order to reach a precision of 0.2% on the hadronic vacuum polarization (HVP) contribution to the anomalous magnetic moment of the muon, (g – 2) μ , such that the full Standard-Model prediction matches in precision the direct experimental measurement, it is crucial to include the leading,...

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Bibliographic Details
Main Authors: Julian Parrino, Volodymyr Biloshytskyi, En-Hung Chao, Harvey B. Meyer, Vladimir Pascalutsa
Format: Article
Language:English
Published: SpringerOpen 2025-07-01
Series:Journal of High Energy Physics
Subjects:
Lattice QCD
Effective Field Theories of QCD
Standard Model Parameters
Online Access:https://doi.org/10.1007/JHEP07(2025)201
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Summary:Abstract In order to reach a precision of 0.2% on the hadronic vacuum polarization (HVP) contribution to the anomalous magnetic moment of the muon, (g – 2) μ , such that the full Standard-Model prediction matches in precision the direct experimental measurement, it is crucial to include the leading, O(α) electromagnetic corrections to HVP. In this work, we determine an important contribution to the latter from a diagram comprised of two two-point quark-loops, connected by the internal photon and gluons. This ultraviolet-finite correction is calculated from lattice QCD using a coordinate-space formalism, where photons are treated in the continuum and infinite volume. Our result amounts to a (−0.89 ± 0.18)% correction to the leading-order HVP contribution to (g – 2) μ . To overcome the worsening statistical noise at large distances, our analysis is combined with phenomenological models featuring light pseudoscalar mesons with masses below 1 GeV. In particular, our data show a very steep mass dependence as dictated by the charged pion loop. Similarly, the other diagrams appearing in the O(α)-corrections to the HVP with the internal photon connecting two separate quark loops are also ultraviolet-finite and can be computed with the same formalism.
ISSN:1029-8479

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