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arXiv · 2410.20590

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

T. Blum·P. A. Boyle·M. Bruno·B. Chakraborty·F. Erben·V. Gülpers·A. Hackl·N. Hermansson-Truedsson·R. C. Hill·T. Izubuchi·L. Jin·C. Jung·C. Lehner·J. McKeon·A. S. Meyer·M. Tomii·J. T. Tsang·X. -Y. Tuo
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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 $a_\mu^{\rm LD,iso,conn,ud} = 411.4(4.3)(2.4) \times 10^{-10}$. 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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T. Blum, P. A. Boyle, M. Bruno, B. Chakraborty, F. Erben, V. Gülpers, A. Hackl, N. Hermansson-Truedsson, R. C. Hill, T. Izubuchi, L. Jin, C. Jung, C. Lehner, J. McKeon, A. S. Meyer, M. Tomii, J. T. Tsang, X. -Y. Tuo. 2024-10-27. The long-distance window of the hadronic vacuum polarization for the muon g-2. https://arxiv.org/abs/2410.20590

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