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  • Open Access

Long-distance reconstruction of QED corrections to the hadronic vacuum polarization for the muon g−2

C. Lehner*, J. Parrino, and A. Völklein

  • *Contact author: christoph.lehner@ur.de
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Phys. Rev. D 113, 054503 – Published 4 March, 2026

DOI: https://doi.org/10.1103/77sf-5cg9

Abstract

The long-distance contribution of QED corrections to the hadronic vacuum polarization is particularly challenging to compute in lattice QCD+QED. Currently, it is one of the limiting factors toward matching the precision of the recent result by the Fermilab E989 experiment for the muon g−2. In this work, we present a method for obtaining high-precision results for this contribution by reconstructing exclusive finite-volume state contributions. We find relations between the pion-photon contributions of individual diagrams and demonstrate the reconstruction method with lattice QCD+QED data at a single lattice spacing of a−1≈1.73  GeV and mπ≈275  MeV.

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Phys. Rev. D 113, 054503– Published 4 March, 2026
  • Received 15 September 2025
  • Accepted 4 February 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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