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High-precision continuum limit study of the HVP short-distance window

Sebastian Spiegel* and Christoph Lehner†

  • *Contact author: sebastian.spiegel@ur.de
  • †Contact author: christoph.lehner@ur.de
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Phys. Rev. D 111, 114517 – Published 24 June, 2025

DOI: https://doi.org/10.1103/mj3d-yq87

Abstract

The separation of the hadronic vacuum polarization contribution to the muon anomalous magnetic moment into Euclidean windows allows for a tailored approach to address the different dominant challenges at short, intermediate, and long distances. We present a novel approach to compute the short-distance window without the need for using perturbative QCD. We combine a quenched continuum extrapolation using 18 lattice spacings (1.6  GeV≲a−1≲6.1  GeV) with a separate continuum extrapolation of the sea quark effects. This method allows for the computationally expensive sea quark effects to be estimated using only a smaller number of ensembles at coarser lattice spacings, while largely confining the logarithmic dependency of the continuum extrapolation to the quenched component.

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Phys. Rev. D 111, 114517– Published 24 June, 2025
  • Received 31 October 2024
  • Accepted 22 May 2025
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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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