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arXiv · 2310.14102

Tau data-driven evaluation of the Hadronic Vacuum Polarization

Abstract

Windows in Euclidean time have become a standard tool for comparing lattice QCD and data-driven computations of the hadronic vacuum polarization (HVP) contribution to the muon $g-2$. Here we review our results, obtained using isospin-rotated $\tau^-\to\pi^-\pi^0\nu_\tau$ data instead of $e^+e^-\to\pi^+\pi^-$ measurements, and compare them to other approaches. Consistency of the tau-based and lattice results hints to underestimated uncertainties in the $e^+e^-$ data. If that is the case, the theory prediction of the muon $g-2$ would only lie at $\sim 2\sigma$ from its measured value.

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Pere Masjuan, Alejandro Miranda, Pablo Roig. 2023-10-21. Tau data-driven evaluation of the Hadronic Vacuum Polarization. https://doi.org/10.1016/j.nuclphysbps.2023.12.001

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