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arXiv · 2311.11597

Hadronic Vacuum Polarization Contribution to $\boldsymbol{g_{\mu}-2}$ as a function of the external lepton mass

David Greynat·Eduardo de Rafael
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Abstract

The hadronic vacuum polarization contribution to the anomalous magnetic moment of a lepton is considered as a function of the lepton mass. We show how the analyticity properties of this function allow for its full reconstruction when it is only known in a restricted mass region. Assuming that LQCD could evaluate it in an optimal mass region we show, within the framework of a phenomenological model, how to reconstruct the function elsewhere, in particular at the muon mass value.

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David Greynat, Eduardo de Rafael. 2023-11-20. Hadronic Vacuum Polarization Contribution to $\boldsymbol{g_{\mu}-2}$ as a function of the external lepton mass. https://arxiv.org/abs/2311.11597

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