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arXiv · 2203.05070

Evaluation of the three-flavor quark-disconnected contribution to the muon anomalous magnetic moment from experimental data

Diogo Boito·Maarten Golterman·Kim Maltman·Santi Peris
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Abstract

We point out that the sum of the strange-quark-connected and full, three-flavor quark-disconnected contributions to the leading-order hadronic vacuum polarization contribution, $a_\mu^{\mathrm{LO,HVP}}$, to the anomalous magnetic moment of the muon, is a physical observable, and provide a data-based determination of this quantity in the isospin limit. The result, $40.1(1.5)\times 10^{-10}$, or $38.7(2.0)\times 10^{-10}$, depending on which data compilation is used, serves as a target of comparison for lattice calculations of the same isospin-limit combination. Subtracting from this result the average of lattice determinations of the strange-quark-connected contribution, one obtains also an alternate determination of the isospin-limit three-flavor disconnected contribution to $a_\mu^{\mathrm{LO,HVP}}$. The result of this determination, $-13.3(1.5)\times 10^{-10}$, or $-14.6(2.0)\times 10^{-10}$, depending on which data compilation is used, agrees well and is competitive with the most precise current lattice determination.

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Diogo Boito, Maarten Golterman, Kim Maltman, Santi Peris. 2022-03-09. Evaluation of the three-flavor quark-disconnected contribution to the muon anomalous magnetic moment from experimental data. https://doi.org/10.1103/physrevd.105.093003

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