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

TL;DR

This paper presents the first calculation of tau data-driven Euclidean windows for the hadronic vacuum polarization contribution to muon g-2, showing agreement with lattice evaluations and highlighting implications for new physics interpretations.

Contribution

It introduces a novel tau-based method for Euclidean window calculations, aligning with lattice results and addressing discrepancies with e+e- data.

Findings

Tau-based results agree with lattice evaluations in key windows.

Tau data helps clarify discrepancies affecting muon g-2 interpretation.

First-time computation of tau data-driven Euclidean windows for HVP contribution.

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.