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arxiv: 2410.20590 · v1 · pith:HUUUWQNNnew · submitted 2024-10-27 · ✦ hep-lat · hep-ph

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

classification ✦ hep-lat hep-ph
keywords calculationcomparedconnconnectedcontributionhadronicisospinlarger
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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 $a_\mu^{\rm LD,iso,conn,ud} = 411.4(4.3)(2.4) \times 10^{-10}$. We also provide the currently most precise calculation of the total isospin symmetric light-quark connected contribution, $a_\mu^{\rm iso,conn,ud} = 666.2(4.3)(2.5) \times 10^{-10}$, which is more than 4$\sigma$ larger compared to the data-driven estimates of Boito et al. 2022 and 1.7$\sigma$ larger compared to the lattice QCD result of BMW20.

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