Hadronic Contributions to the Anomalous Magnetic Moment of the Muon from Lattice QCD

G. von Hippel, S. Kuberski (), H. B. Meyer, D. Mohler, S. Paul and H. Wittig
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G. von Hippel: Universität Mainz, Institut für Kernphysik and PRISMA+ Cluster of Excellence
S. Kuberski: Johannes Gutenberg Universität, Helmholtz Institut Mainz
H. B. Meyer: Universität Mainz, Institut für Kernphysik and PRISMA+ Cluster of Excellence
D. Mohler: GSI Helmholtzzentrum für Schwerionenforschung
S. Paul: Universität Mainz, Institut für Kernphysik and PRISMA+ Cluster of Excellence
H. Wittig: Universität Mainz, Institut für Kernphysik and PRISMA+ Cluster of Excellence

A chapter in High Performance Computing in Science and Engineering '23, 2026, pp 3-16 from Springer

Abstract: Abstract We report on our ongoing project aimed at providing a precise Standard Model prediction for the hadronic vacuum polarization contribution to the muon’s anomalous magnetic moment $$a_\mu $$ a μ , from first principles using lattice QCD. There is currently a discrepancy of $$4.2\,\sigma $$ 4.2 σ between the direct measurement of $$a_\mu $$ a μ and the Standard Model prediction with the hadronic vacuum polarization contribution $$a_\mu ^\textrm{hvp}$$ a μ hvp evaluated via the traditional data-driven approach based on hadronic cross sections. We present our calculation of the so-called window observable whose value is in tension with hadronic cross section data, which precludes a straightforward interpretation of the new experimental measurement of $$a_\mu $$ a μ . We focus on our efforts to minimize statistical noise in our calculations using deflation techniques and dedicated spectrum calculations to constrain the long-distance regime of the electromagnetic current correlator, which is a crucial step for our goal of providing a refined estimate for $$a_\mu ^\textrm{hvp}$$ a μ hvp with total uncertainties well below the percent level.

Date: 2026
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DOI: 10.1007/978-3-031-91312-9_1

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