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

[摘要] 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 Nf = 2 + 1 flavors of 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 aμhvp,nlo\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$$ {a}_{\mu}^{\mathrm{hvp},\kern0.30em \mathrm{nlo}} $$\end{document} = −101.57(26)stat(54)syst × 10−11. 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.

[发布日期] 2026-09-02

[关键词] Lattice QCD;Hadronic Spectroscopy;Structure and Interactions;Standard Model Parameters;Specific QCD Phenomenology