data-driven evaluation of Euclidean windows for the hadronic vacuum polarization
Pere Masjuan (Grup de Física Teòrica, Departament de Física, Universitat Autònoma de Barcelona, Bellaterra, Barcelona, Spain, Institut de Física d'Altes Energies (IFAE), The Barcelona Institute of Science and Technology (BIST), Campus UAB, Bellaterra, Barcelona, Spain)
; Alejandro Miranda (Institut de Física d'Altes Energies (IFAE), The Barcelona Institute of Science and Technology (BIST), Campus UAB, Bellaterra, Barcelona, Spain)
; Pablo Roig (Departamento de Física, Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional, Apdo. Postal 14-740, Ciudad de México, Mexico)
We compute for the first time the τ data-driven Euclidean windows for the hadronic vacuum polarization contribution to the muon . 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 data-driven result with the lattice values in this window is the main cause for their discrepancy, affecting the interpretation of the measurement in terms of possible new physics.