$\tau$ data-driven evaluation of Euclidean windows for the hadronic vacuum polarization

TL;DR

This paper introduces the first $ au$ data-driven Euclidean windows for the hadronic vacuum polarization contribution to muon g-2, showing agreement with lattice evaluations and addressing discrepancies with $e^+e^-$ data.

Contribution

It presents a novel $ au$-based method for evaluating Euclidean windows in the hadronic vacuum polarization, aligning with lattice results and clarifying existing data discrepancies.

Findings

$ au$-based results agree with lattice evaluations.

$ au$ results are compatible with lattice in the intermediate window.

Addresses the discrepancy between $e^+e^-$ data and lattice results.

Abstract

We compute for the first time the $\tau$ data-driven Euclidean windows for the hadronic vacuum polarization contribution to the muon $g-2$. We show that $\tau$-based results agree with the available lattice window evaluations and with the full result. On the intermediate window, where all lattice evaluations are rather precise and agree, $\tau$-based results are compatible with them. This is particularly interesting, given that the disagreement of the $e^+e^-$ data-driven result with the lattice values in this window is the main cause for their discrepancy, affecting the interpretation of the $a_\mu$ measurement in terms of possible new physics.