Hadronic vacuum polarization contribution to the muon g-2 on Euclidean windows from tau data

Abstract

We computed for the first time the $\tau$ data-driven Euclidean windows for the hadronic vacuum polarization contribution to the muon g-2. We showed 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.

Comments: 6 pages, 3 figures. Contribution to the proceedings of QNP2024 - The 10th International Conference on Quarks and Nuclear Physics, to be published in PoS