Higher-order hadronic vacuum polarization contribution to the muon $g-2$ from lattice QCD

Fuente: arXiv
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Autores principales: Beltran, Arnau, Conigli, Alessandro, Kuberski, Simon, Meyer, Harvey B., Ottnad, Konstantin, Wittig, Hartmut
Formato: Preprint
Publicado: 2026
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author Beltran, Arnau
Conigli, Alessandro
Kuberski, Simon
Meyer, Harvey B.
Ottnad, Konstantin
Wittig, Hartmut
author_facet Beltran, Arnau
Conigli, Alessandro
Kuberski, Simon
Meyer, Harvey B.
Ottnad, Konstantin
Wittig, Hartmut
contents We present the first lattice QCD calculation of the next-to-leading order hadronic vacuum polarization contribution to the muon anomalous magnetic moment with sub-percent precision. We employ the time-momentum representation for the space-like kernel, which is combined with the spatially summed vector correlator computed on CLS ensembles with $N_{\mathrm{f}}=2+1$ flavors of $\mathrm{O}(a)$-improved Wilson fermions, covering six lattice spacings between $0.039$ and $0.097\,$fm and a range of pion masses including the physical value. After accounting for finite-size corrections and isospin-breaking effects, we obtain as our final, continuum-extrapolated result $a_μ^{\mathrm{hvp,\,nlo}}=-101.57(26)_{\mathrm{stat}}(54)_{\mathrm{syst}}\times10^{-11}$. It lies below the estimate provided by the 2025 White Paper of the Muon $(g-2)$ Theory Initiative by $1.4σ$ but is two times more precise. It also exhibits a strong tension of $4.6σ$ with data-driven evaluations based on hadronic cross section measurements excluding the recent result by CMD-3.
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institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Higher-order hadronic vacuum polarization contribution to the muon $g-2$ from lattice QCD
Beltran, Arnau
Conigli, Alessandro
Kuberski, Simon
Meyer, Harvey B.
Ottnad, Konstantin
Wittig, Hartmut
High Energy Physics - Lattice
High Energy Physics - Phenomenology
We present the first lattice QCD calculation of the next-to-leading order hadronic vacuum polarization contribution to the muon anomalous magnetic moment with sub-percent precision. We employ the time-momentum representation for the space-like kernel, which is combined with the spatially summed vector correlator computed on CLS ensembles with $N_{\mathrm{f}}=2+1$ flavors of $\mathrm{O}(a)$-improved Wilson fermions, covering six lattice spacings between $0.039$ and $0.097\,$fm and a range of pion masses including the physical value. After accounting for finite-size corrections and isospin-breaking effects, we obtain as our final, continuum-extrapolated result $a_μ^{\mathrm{hvp,\,nlo}}=-101.57(26)_{\mathrm{stat}}(54)_{\mathrm{syst}}\times10^{-11}$. It lies below the estimate provided by the 2025 White Paper of the Muon $(g-2)$ Theory Initiative by $1.4σ$ but is two times more precise. It also exhibits a strong tension of $4.6σ$ with data-driven evaluations based on hadronic cross section measurements excluding the recent result by CMD-3.
title Higher-order hadronic vacuum polarization contribution to the muon $g-2$ from lattice QCD
topic High Energy Physics - Lattice
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2603.06806