The hadronic vacuum polarization contribution to the muon g-2 at long distances

2024/11/12 by Dalibor Djukanovic, Georg von Hippel, Djukanovic, Dalibor +15 · 9 citations
Computer Science · Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Computational Physics and Python Applications #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #Particle physics theoretical and experimental studies

paper · pdf · doi:10.48550/arxiv.2411.07969

openalex publication_date 2024/11/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present our lattice QCD result for the long-distance part of the hadronic vacuum polarization contribution, (a_μ^{\rm hvp})^{\rm LD}, to the muon g-2 in the time-momentum representation. This is the numerically dominant, and at the same time the most challenging part regarding statistical precision. Our calculation is based on ensembles with dynamical up, down and strange quarks, employing the O(a)-improved Wilson fermion action with lattice spacings ranging from 0.035-0.099 fm. In order to reduce statistical noise in the long-distance part of the correlator to the per-mille level, we apply low-mode averaging and combine it with an explicit spectral reconstruction. Our result is (a_μ^{\rm hvp})^{\rm LD} = 423.2(4.2)_{\rm stat}(3.4)_{\rm syst}× 10^-10 in isospin-symmetric QCD, where the pion decay constant is used to set the energy scale. When combined with our previous results for the short- and intermediate-distance window observables and after including all sub-dominant contributions as well as isospin-breaking corrections, we obtain the total leading-order hadronic vacuum polarization contribution as a_μ^{\rm hvp} = 724.5(4.9)_{\rm stat}(5.2)_{\rm syst}× 10^-10. Our result displays a tension of 3.9 standard deviations with the data-driven estimate published in the 2020 White Paper, but leads to a SM prediction for the total muon anomalous magnetic moment that agrees with the current experimental average.

Cited by

• Disperon QED
• Hadronic contributions to a_μ within Resonance Chiral Theory
• Hadronic vacuum polarization to three loops in chiral perturbation theory
• Non-singlet vector current in lattice QCD: O(a)-improvement from large volumes
• Perturbative QCD below charm threshold: theory and tensions with e⁺e^- data
• Field-theoretic versus data-driven evaluations of electromagnetic corrections to hadronic vacuum polarization in (g-2)_μ
• UV origins of CP-violating leptonic Yukawa couplings
• Long-distance reconstruction of QED corrections to the hadronic vacuum polarization for the muon g-2
• Vectorlike lepton imprints at lepton g-2 measurements and e⁺e^- colliders

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• The long-distance window of the hadronic vacuum polarization for the muon g-2
• Intermediate window observable for the hadronic vacuum polarization contribution to the muon g-2 from O(a) improved Wilson quarks