The long-distance window of the hadronic vacuum polarization for the muon g-2

Abstract

We provide the first ab-initio calculation of the Euclidean long-distance window of the isospin symmetric light-quark connected contribution to the hadronic vacuum polarization for the muon g−2 and find a^{LD,iso,conn,ud}μ=411.4(4.3)(2.4)×10⁻¹⁰. We also provide the currently most precise calculation of the total isospin symmetric light-quark connected contribution, a^iso,conn,udμ=666.2(4.3)(2.5)×10⁻¹⁰, which is more than 4σ larger compared to the data-driven estimates of Boito et al. 2022 and 1.7σ larger compared to the lattice QCD result of BMW20.

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