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Finite-volume effects in the muon anomalous magnetic moment on the lattice

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arxiv 1512.07555 v2 pith:74M3RUML submitted 2015-12-23 hep-lat

Christopher Aubin , Thomas Blum , Peter Chau , Maarten Golterman , Santiago Peris , Cheng Tu This is my paper · ORCID
classification hep-lat
keywords finite-volumeeffectsanomaloushadronicmagneticmomentmuonchiral
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abstract

We investigate finite-volume effects in the hadronic vacuum polarization, with an eye toward the corresponding systematic error in the muon anomalous magnetic moment. We consider both recent lattice data as well as lowest-order, finite-volume chiral perturbation theory, in order to get a quantitative understanding. Even though leading-order chiral perturbation theory does not provide a good description of the hadronic vacuum polarization, it turns out that it gives a good representation of finite-volume effects. We find that finite-volume effects cannot be ignored when the aim is a few percent level accuracy for the leading-order hadronic contribution to the muon anomalous magnetic moment, even when using ensembles with $m_\pi L> 4$ and $m_\pi \sim 200$ MeV.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 47 citations worldwide. Full citation record

  1. Hadronic vacuum polarization for the muon $g-2$ from lattice QCD: Complete short and intermediate windows

    hep-lat 2024-11 conditional novelty 6.0 of 10

    The complete short- and intermediate-distance hadronic vacuum polarization contributions to the muon g-2 are computed on the lattice with 0.31% and 0.36% total errors.

  2. Isospin-breaking corrections to the muon magnetic anomaly in Lattice QCD

    hep-lat 2019-09 conditional novelty 4.0 of 10

    A first-principles lattice calculation with Nf=2+1+1 QCD plus quenched QED gives the leading isospin-breaking correction to the muon HVP as 7.1 (2.9) x 10^-10, the most precise such estimate to date.

  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.

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