τ data-driven evaluation of Euclidean windows for the hadronic vacuum polarization

Abstract

We compute for the first time the τ data-driven Euclidean windows for the hadronic vacuum polarization contribution to the muon g−2. We show that τ-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, τ-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 aμ measurement in terms of possible new physics.